Duhem Models for Hysteresis in Sliding and Presliding Friction* (2009)
Jinhyoung Oh, Ashwani K. Padthe, Dennis S. Bernstein, Demosthenis D. Rizos, Spilios D. Fassois
Abstract — In this paper we analyze the Dahl, LuGre, and Maxwell-slip friction models as Duhem hysteresis models. We classify each model as either a generalized or a semilinear Duhem model, and we...
A Student's Guide to Research 1 by (2007)
Research is the search for new knowledge, and it is thus distinct from the routine application of known results. The "re " in "research " is a misnomer. When you...
A Student’s Guide to Peer Review by (2007)
Publishing is an essential part of research. Publications provide a lasting record of scientific accomplishment that other researchers can refer to and build on. Before a manuscript is accepted for...
Adaptive Stabilization and Disturbance Rejection for First-Order Systems 1 (2007)
Harshad S. Sane, Er V. Roup, Dennis S. Bernstein, Hector J. Sussmann
We consider the use of a discontinuous adaptive control algorithm to achieve simultaneous stabilization and disturbance rejection for a rst-order linear system. Lyapunov methods are used to prove...
Guaranteed Cost Inequalities for Robust Stability and Performance Analysis (2007)
Scot L. Osburn, Dennis S. Bernstein
For unstructured time-varying or complex uncertainty, the small gain theorem provides a nonconservative test for robust stability [1]-[5]. For structured, and possibly real uncertainty, however, the...
Ella M. Atkins, Robert H. Miller, Tobin Van Pelt, Keith D. Shaw, William B. Ribbens, Peter D. Washabaugh, ...
z
Harish J. Palanth, Steven Gillijns, Aaron J. Ridley, Dennis S. Bernstein, Bart De Moor
Given line-of-sight drift-velocity measurements at points on the earth, our goal is to estimate the electric potential distribution to match the drift velocity pattern. The electric potential is...
Palanthandalam-Madapusi, Harish J., Bernstein, Dennis S., Ridley, Aaron J.
Peer Reviewed
Direct Adaptive Dynamic Compensation for Minimum Phase Systems With Unknown Relative Degree (2007)
Hoagg, Jesse B., Bernstein, Dennis S.
Peer Reviewed
Oh, JinHyoung, Bernstein, Dennis S.
Peer Reviewed
Setpoint Tracking with Actuator Offset and Sensor Bias (2007)
Chandrasekar, Jaganath, Bernstein, Dennis S.
Peer Reviewed
Adaptive Harmonic Steady-State Control for Disturbance Rejection (2006)
Chandrasekar, Jaganath, Lui, Li, Patt, Dan, Friedmann, Peretz P., Bernstein, Dennis S.
Peer Reviewed
Chaturvedi, Nalin A., Bernstein, Dennis S., Ahmed, Jasim, Bacconi, Fabio, McClamroch, N. Harris
Peer Reviewed
Chaturvedi, Nalin A., Sanyal, Amit K., Chellappa, Madhusudhan, Luc Valk, Jean, McClamroch, N. Harris, Bernstein, Dennis S.
Peer Reviewed
Least-correlation estimates for errors-in-variables models (2006)
Jun, Byung-Eul, Bernstein, Dennis S.
Peer Reviewed
Robust Fixed-Structure Control (2006)
This final report for AFOSR Grant F49620-92-J-0127 summarizes results obtained in five areas, namely, robust control, linear control, sampled-data control, tracking and disturbance rejection, and...
Hoagg, Jesse B., Bernstein, Dennis S.
Peer Reviewed
Lyapunov-stable discrete-time model reference adaptive control (2005)
Akhtar, S., Bernstein, Dennis S.
Discrete-time model reference adaptive control (MRAC) is considered with both least squares and projection algorithm parameter identification. For both cases complete Lyapunov proofs are given for...
Geometric homogeneity with applications to finite-time stability (2005)
Bernstein, Dennis S., Bhat, S. P.
This paper studies properties of homogeneous systems in a geometric, coordinate-free setting. A key contribution of this paper is a result relating regularity properties of a homogeneous function to...
Semilinear Duhem Model for Rate-Independent and Rate-Dependent Hysteresis (2005)
Oh, JinHyoung, Bernstein, Dennis S.
Peer Reviewed
Hyland, David C., Bernstein, Dennis S.
The maximum Entropy/Optical Projection (MEOP) methodology is a novel approach to designing implementable vibration-suppression controllers for large space systems. Two issues, in particular, have...
Subspace Identification With Guaranteed Stability Using Constrained Optimization (2003)
Lacy, Seth L., Bernstein, Dennis S.
Peer Reviewed
Asymptotic Disturbance Rejection for Hammerstein Positive Real Systems (2003)
Sane, Harshad S., Bernstein, Dennis S.
Peer Reviewed
Lyapunov-based backward-horizon adaptive stabilization (2003)
Venugopal, Ravinder, Rao, Venkatesh G., Bernstein, Dennis S.
Peer Reviewed
Bhat, Sanjay P., Bernstein, Dennis S.
Peer Reviewed
Guaranteed cost inequalities for robust stability and performance analysis (2002)
Bernstein, Dennis S., Osburn, Scot L.
In this paper, we formulate robust stability and performance bounds in terms of guaranteed cost inequalities. We derive new guaranteed cost bounds for plants with real structured uncertainty, and we...
F49620-00-1-0216
Adaptive Control of Double-Gimbal Control-Moment Gyro with Unbalanced Rotor (2002)
Ahmed, Jasmin, Bernstein, Dennis S.
Peer Reviewed
Hyland,David C., Bernstein,Dennis S.
Increased interest in deploying large flexible spacecraft has focused attention on active structural control techniques to achieve crucial advances in vibration suppression, pointing accuracy and...
Adaptive Stabilization of a Class of Nonlinear Systems With Nonparametric Uncertainty (2001)
Roup, Alexander V., Bernstein, Dennis S.
Peer Reviewed
Sane, Harshad S., Venugopaul, Ravinder, Bernstein, Dennis S.
Peer Reviewed
Induced Convolution Operator Norms of Linear Dynamical Systems (2000)
Wilson, David A., Haddad, Wassim M., Chellaboina, VijaySekhar, Bernstein, Dennis S.
In this paper we develop explicit formulas for induced convolution operator norms and their bounds. These results generalize established induced operator norms for linear dynamical systems with...
Finite Settling Time Control of the Double Integrator Using a Virtual Trap-Door Absorber (2000)
Bupp, Robert T., Bernstein, Dennis S., Chellaboina, Vijaya S., Haddad, Wassim M.
Peer Reviewed
Adaptive Disturbance Rejection Using ARMARKOV/Toeplitz Models (2000)
Venugopal, Ravinder, Bernstein, Dennis S.
Peer Reviewed
FINITE-TIME STABILITY OF CONTINUOUS AUTONOMOUS SYSTEMS (2000)
Bhat, Sanjay P., Bernstein, Dennis S.
Peer Reviewed
Stable H_2-optimal controller synthesis (2000)
Corrado, Joseph R., Erwin, R. Scott, Bernstein, Dennis S., Haddad, Wassim M.
Peer Reviewed
Output Feedback Adaptive Stabilization of a Second-Order Systems (2000)
Harshad S. Sane, Héctor J. Sussmann, Dennis S. Bernstein
We consider output feedback adaptive stabilization for second-order systems. The assumptions we make are standard, namely, that the system has relative degree two and the sign of the high frequency...
Tyan, Feng, Bernstein, Dennis S.
Peer Reviewed
A student’s guide to research (1999)
Research is the search for new knowledge, and it is thus distinct from the routine application of known results. The "re " in "research " is a misnomer. When you...
Hyland, David C., Bernstein, Dennis S.
The Maximum Entropy/Optimal Projection (MEOP) Methodology is a novel approach to designing implementable vibration-suppression controllers for large space systems. Two issues, in particular, have...
OPUS: Optimal Projection for Uncertain Systems. (1998)
OPUS: Optimal Projection for Uncertain Systems is a unified approach to control-system design and analysis for high-performance, multivariable applications such as large flexible space structures. In...
Active Nonlinear Feedback Control for Aerospace Systems. Processor. (1998)
Hyland, David C., Bernstein, Dennis S.
Although the theory of linear control systems is highly mature, nonlinear control-system design techniques remain relatively undeveloped. In real-world applications such as vibrations suppression in...
OPUS: Optimal Projection for Uncertain Systems. Volume 1. (1998)
Bernstein, Dennis S., Haddad, Wassim M.
OPUS (Optimal Projection for Uncertain Systems) is a unified approach to control-system design and analysis for high-performance, multivariable applications such as large flexible space structures....
OPUS: Optimal Projection for Uncertain Systems. Volume 2. (1998)
Bernstein, Dennis S., Haddad, Wassim M.
OPUS (Optimal Projection for Uncertain Systems) is a unified approach to control-system design and analysis for high-performance, multivariable applications such as large flexible space structures....
Robust Fixed-Structure Control. (1998)
This final report for AFOSR Grant F49620-92-J-0127 summarizes results obtained in five areas, namely, robust control, linear control, sampled-data control, tracking and disturbance rejection, and...
Robust, Nonlinear Feedback Control (1998)
This project has encompassed research in four areas of control theory, namely robust, fixed structure control, identification, adaptive cancellation, and nonlinear control. The robust, fixed...
State Space Identification and Active Structural Control for the ACTEX Experiment (1998)
The purpose of this work was to develop a stronger theoretical foundation for the Juan-Pappas eigensystem realization algorithm. This technique is a widely used method from impulse response data....
A Real-Time Multi-Processor for Adaptive Control Experiments (1998)
The objective of this project was to acquire instrumentation that will advance the state of the art in real time control and enhance the transition of new adaptive control techniques to DoD...
Intelligenct Flight Control of Uninhabited Aerial Vehicles (1998)
The goal of this project was to develop, implement, and demonstrate intelligence flight control technology. During the previous two reporting periods, constriction of the flight test vehicle was...
Under this project we developed and demonstrated new techniques for identification and adaptive control. For linear identification, we developed quadratically constrained least squares (QCLS)...
A High Precision Triaxial Air Bearing for Research in Spacecraft Dynamics and Control (1998)
Bernstein, Dennis S., McClamroch, N. H., Bloch, Anthony M.
Under this project we acquired equipment for research on spacecraft attitude dynamics. A single-degree-of-freedom air spindle and a triaxial air bearing were developed. In addition, we acquired...
We have acquired a unique facility that will allow us to conduct experimental research relating to precision motion control and target tracking in a high disturbance environment. The principal...
Nonlinear Identification and Adaptive Control (1998)
To address Air Force applications, new methods are developed for system identification (ID) and adaptive control. For linear systems, ID algorithms are developed to obtain consistent parameter...
Identification of FIR Wiener Systems With Unknown, Non-Invertible, Polynomial Non-Linearities (1998)
Lacy, Seth L., Bernstein, Dennis S.
Wiener systems consist of a linear dynamic system whose output is measured through a static non-linearity. In this paper we study the identification of single-input single-output Wiener systems with...
Erwin, R. S., Bernstein, Dennis S.
Determining the trajectory or a body orbiting the Earth is a fundamental task in astrodynamics. In this paper we use a sampled-data extended Kalman Filter to estimate the trajectory or a target...
Adaptive Asymptotic Tracking of Spacecraft Attitude Motion with Inertia Matrix Identification (1998)
Ahmed, Jasim, Coppola,Vincent T., Bernstein, Dennis S.
Peer Reviewed
Robust Controller Synthesis via Shifted Parameter-Dependent Quadratic Cost Bounds (1998)
Kapila, Vikram, Haddad, Wassim M., Erwin, Richard S., Bernstein, Dennis S.
Peer Reviewed
Fixed-structure robust controller synthesis via decentralized static output feedback (1998)
Erwin, R. Scott, Sparks, Andrew G., Bernstein, Dennis S.
This paper describes and illustrates a unified methodology for robust, fixed-structure controller synthesis. The approach is based upon direct fixed-structure controller synthesis using a...
Continuous Finite-Time Stabilization of the Translational and Rotational Double Integrators (1998)
Bhat, Sanjay P., Bernstein, Dennis S.
Peer Reviewed
Bode Integral Constraints, Collocation, and Spillover in Active Noise and Vibration Control (1998)
Hong, Jeongho, Bernstein, Dennis S.
Peer Reviewed
A BENCHMARK PROBLEM FOR NONLINEAR CONTROL DESIGN (1998)
Bupp, Robert T., Bernstein, Dennis S., Coppola, Vincent T.
Peer Reviewed
Bupp, Robert T., Bernstein, Dennis S., Coppola, Vincent T.
Peer Reviewed
RELIABLE STATE-SPACE UPPER BOUNDS FOR THE PEAK STRUCTURED SINGULAR VALUE (1998)
Sparks, Andrew G., Bernstein, Dennis S.
Peer Reviewed
Wan, Chih-Jian, Tsiotras, P., Coppola, Vincent T., Bernstein, Dennis S.
The dynamical equations for a spinning top are derived in which theorientation is specified by a complex variable using stereographic projectionof Poisson's equations. Necessary and sufficient...
Robust H Stabilization via Parameterized Lyapunov Bounds (1997)
Haddad, Wassim M., Kapila, Vikram, Bernstein, Dennis S.
Peer Reviewed
Wan, C. J., Tsiotras, P., Coppola, Vincent T., Bernstein, Dennis S.
Peer Reviewed
Ge, Yuzhen, Watson, Layne T., Collins, Emmanuel G. Jr., Bernstein, Dennis S.
Peer Reviewed
Lum, Kai-Yew, Coppola, Vincent T., Bernstein, Dennis S.
Peer Reviewed
SECOND-ORDER SYSTEMS WITH SINGULAR MASS MATRIX AND AN EXTENSION OF GUYAN REDUCTION (1996)
Bhat, Sanjay P., Bernstein, Dennis S.
Peer Reviewed
Global stabilization of the oscillating eccentric rotor (1996)
Wan, Chih-Jian, Bernstein, Dennis S., Coppola, Vincent T.
The oscillating eccentric rotor has been widely studied to model resonance capture phenomena occurring in dual-spin spacecraft and rotating machinery. This phenomenon arises during spin-up as a...
Modeling, Identification, and Feedback Control of Noise in an Acoustic Duct (1996)
Hong, Jeongho, Akers, James C., Venugopal, Ravinder, Lee, Miin-Nan, Sparks, Andrew G., Washabaugh, Peter D., ...
Peer Reviewed
Haddad, Wassim M., Bernstein, Dennis S.
Peer Reviewed
Optimal Tradeoff Between H_2 Performance and Tracking Accuracy in Servocompensator Synthesis (1995)
Sparks, Andrew G., Bernstein, Dennis S.
Peer Reviewed
Energy Flow Control Of Interconnected Structures: I. Modal Subsystems (1995)
Kishimoto, Y., Bernstein, Dennis S., Hall, S. R.
Peer Reviewed
Energy Flow Control Of Interconnected Structures: II. Structural Subsystems (1995)
Kishimoto, Y., Bernstein, Dennis S., Hall, S. R.
Peer Reviewed
Nonlinear feedback control with global stabilization (1995)
Wan, Chih-Jian, Bernstein, Dennis S.
Hamilton-Jacobi-Bellman theory is shown to provide a unified framework for nonlinear feedback control laws for special classes of nonlinear systems. These classes include Jurdjevic-Quinn type...
Haddad, Wassim M., Bernstein, Dennis S.
Peer Reviewed
A CHRONOLOGICAL BIBLIOGRAPHY ON SATURATING ACTUATORS (1995)
Bernstein, Dennis S., Michel, Anthony N.
Peer Reviewed
ANTI-WINDUP COMPENSATOR SYNTHESIS FOR SYSTEMS WITH SATURATION ACTUATORS (1995)
Tyan, Feng, Bernstein, Dennis S.
Peer Reviewed
GLOBAL ASYMPTOTIC STABILIZATION OF THE SPINNING TOP (1995)
Wan, Chih-Jian, Bernstein, Dennis S.
Peer Reviewed
H2-suboptimal stable stabilization, (1994)
Wang, Y. William, Bernstein, Dennis S.
In this paper we present two approaches for designing H2-suboptimal stable controllers. Both full-order and reduced-order controllers are considered.
Robust Strong Stabilization via Modified Popov Controller Synthesis (1994)
Wang, Y. William, Haddad, Wassim M., Bernstein, Dennis S.
Peer Reviewed
Reduced-Order Multirate Estimation (1994)
Haddad, Wassim M., Bernstein, Dennis S., Kapila, Vikram
Peer Reviewed
Nonlinear Controllers for Positive Real Systems with Arbitrary Input Nonlinearities (1994)
Haddad, Wassim M., Bernstein, Dennis S.
Peer Reviewed
Haddad, Wassim M., Bernstein, Dennis S.
Parameter-dependent Lyapunov functions are developed for discrete-time systems with constant real parameter uncertainty. This construction of a family of Lyapunov functions is then used to analyze...
Dissipative H_2/H_infinity Controller Synthesis (1994)
Haddad, Wassim M., Bernstein, Dennis S., Wang, Y. William
Peer Reviewed
Rern, Shuoh, Kabamba, Pierre T., Bernstein, Dennis S.
Peer Reviewed
Sampled-Data Observers with Generalized Holds for Unstable Plants (1994)
Haddad, Wassim M., Huang, Hsing-Hsin, Bernstein, Dennis S.
Peer Reviewed
Haddad, Wassim M., Bernstein, Dennis S.
Peer Reviewed
Covariance Averaging in the Analysis of Uncertain Systems (1993)
Hall, Steven R., MacMartin, Doughlas G., Bernstein, Dennis S.
Peer Reviewed
Haddad, Wassim M., Collins Jr, Emmanuel G., Bernstein, Dennis S.
Peer Reviewed
Maximum-entropy-type Lyapunov functions for robust stability and performance analysis (1993)
Bernstein, Dennis S., Haddad, Wassim M., Hyland, David C., Tyan, Feng
We present two Lyapunov functions that ensure the unconditional stability and robust performance of a modal system with uncertain damped natural frequency. Each Lyapunov function involves the sum of...
COMPARTMENTAL MODELING AND SECOND-MOMENT ANALYSIS OF STATE SPACE SYSTEMS (1993)
Bernstein, Dennis S., Hyland, David C.
Peer Reviewed
A riccati equation approach to the singular LQG problem (1993)
Halevi, Yoram, Haddad, Wassim M., Bernstein, Dennis S.
The problem of optimal fixed-order dynamic compensation for the singular LQG problem is considered. Necessary conditions characterizing the optimal compensator for the case involving both singular...
Robust Stability and Performance Via Fixed-Order Dynamic Compensation: The Discrete-Time Case (1993)
Haddad, Wassim M., Huang, Hsing-Hsin, Bernstein, Dennis S.
Peer Reviewed
Some Explicit Formulas for the Matrix Exponential (1993)
Bernstein, Dennis S., So, Wasin
Peer Reviewed
Some open problems in matrix theory arising in linear systems and control (1992)
Control theory has long provided a rich source of motivation for developments in matrix theory. Accordingly, we discuss some open problems in matrix theory arising from theoretical and practical...
Controller Design with Regional Pole Constraints (1992)
Haddad, Wassim M., Bernstein, Dennis S.
Peer Reviewed
Robust Controller Synthesis Using Kharitonov's Theorem (1992)
Bernstein, Dennis S., Haddad, Wassim M.
Peer Reviewed
Mixed-norm H_2/H_infinity regulation and estimation: The discrete-time case (1991)
Haddad, Wassim M., Bernstein, Dennis S., Mustafa, Denis
Peer Reviewed
ON STABLE FULL-ORDER AND REDUCED-ORDER LQG CONTROLLERS (1991)
Halevi, Yoram, Bernstein, Dennis S., Haddad, Wassim M.
Peer Reviewed
Robust stabilization with positive real uncertainty: Beyond the small gain theorem (1991)
Haddad, Wassim M., Bernstein, Dennis S.
Peer Reviewed
Optimal Reduced-Order Observer-Estimators (1990)
Haddad, Wassim M., Bernstein, Dennis S.
Peer Reviewed
Bernstein, Dennis S., Haddad, Wassim M.
Peer Reviewed
Bernstein, Dennis S., Rosen, I. Gary
Peer Reviewed
Haddad, Wassim M., Bernstein, Dennis S.
Peer Reviewed
OPTIMAL REDUCED-ORDER SUBSPACE-OBSERVER DESIGN WITH A FREQUENCY -DOMAIN ERROR BOUND (1990)
Haddad, Wassim M., Bernstein, Dennis S.
Peer Reviewed
Robust Stability and Performance Analysis for Linear Dynamic Systems (1989)
Bernstein, Dennis S., Haddad, Wassim M.
Peer Reviewed
LQG Control with an H_infinity Performance Bound: A Riccati Equation Approach (1989)
Bernstein, Dennis S., Haddad, Wassim M.
Peer Reviewed
Robust decentralized static output feedback (1989)
Bernstein, Dennis S., Haddad, Wassim M.
Peer Reviewed
Robust H_infinity control design for systems with structured parameter uncertainty (1989)
Madiwale, Appasaheb N., Haddad, Wassim M., Bernstein, Dennis S.
Peer Reviewed
Robust stability for sampled-data control systems (1989)
Bernstein, Dennis S., Hollot, C.V.
Peer Reviewed
Steady-state Kalman filtering with an H_infinity error bound (1989)
Bernstein, Dennis S., Haddad, Wassim M.
Peer Reviewed
Bernstein, Dennis S., Hyland, D.C.
Peer Reviewed
Haddad, Wassim M., Bernstein, Dennis S.
Peer Reviewed
Bernstein, Dennis S., Haddad, Wassim M.
Peer Reviewed
Peer Reviewed
Haddad, Wassim M., Bernstein, Dennis S.
Peer Reviewed
The Optimal Projection Equations for Static and Dynamic Output Feedback: The Singular Case (1987)
Peer Reviewed
Hyland, David C., Bernstein, Dennis S.
Peer Reviewed
Optimal Output Feedback for Nonzero Set Point Regulation (1987)
Bernstein, Dennis S., Haddad, Wassim M.
Peer Reviewed
Haddad, Wassim M., Bernstein, Dennis S.
Peer Reviewed
Haddad, Wassim M., Bernstein, Dennis S.
Peer Reviewed
Bernstein, Dennis S., Davis, Lawrence D., Greeley, Scott W.
Peer Reviewed
Bernstein, Dennis S., Davis, L.D., Hyland, David C.
Peer Reviewed
Robust Controller Synthesis Using the Maximum Entropy Design Equations (1986)
Bernstein, Dennis S., Greeley, Scott W.
Peer Reviewed
Bernstein, Dennis S., Hyland, David C.
Peer Reviewed
Hyland, David C., Bernstein, Dennis S.
Peer Reviewed
The Optimal Projection Equations for Reduced-Order State Estimation (1985)
Bernstein, Dennis S., Hyland, David C.
Peer Reviewed
The Optimal Projection Equations for Fixed-Order Dynamic Compensation (1984)
Hyland, David C., Bernstein, Dennis S.
Peer Reviewed
A SYSTEMATIC APPROACH TO HIGHER-ORDER NECESSARY CONDITIONS IN OPTIMIZATION THEORY (1984)
Peer Reviewed
Gilbert, Elmer Grant, Bernstein, Dennis S.
An optimal control problem, which includes restrictions on the controls and equality/inequality constraints on the terminal states, is formulated. Second-order necessary conditions of the...
Optimal Periodic Control: The pi Test Revisited (1980)
Bernstein, Dennis S., Gilbert, Elmer G.
Peer Reviewed
Hoagg, Jesse B., Bernstein, Dennis S.
This paper considers parameter-monotonic direct adaptive command following and disturbance rejection for single-input single-output minimum-phase linear time-invariant systems with knowledge of the...