Submitted to IEEE Transactions on Automatic Control (2007)
Andras Balogh, Miroslav Krstic
In this paper we stabilize the parabolic equilibrium profile in a 2D channel flow using actuators and sensors only at the wall. The control of channel flow was previously considered by Speyer and...
Submitted to International Journal of Adaptive Control and Signal Processing (2007)
In this paper, we propose a fortified boundary control law and an adaptation law for Burgers ' equation with unknown viscosity, where no a priori knowledge of a lower bound on viscosity is...
Submitted to IEEE Transactions on Automatic Control (2007)
Andras Balogh, Miroslav Krstic
In this paper we stabilize the parabolic equilibrium profile in a 2D channel flow using actuators and sensors only at the wall. The control of channel flow was previously considered by Speyer and...
Strong Stabilization of the System of Linear Elasticity by a Dirichlet Boundary Feedback # (2007)
In this paper, by using Nagy-Foias-Foguel's theory of decomposition of continuous semigroups of contractions, we prove that the system of linear elasticity is strongly stabilizable by a...
The problem of global exponential stabilization by boundary feedback for the Korteweg-de Vries-Burgers equation on the domain [0, 1] is considered. We derive a control law of the form u(0) = u x (1)...
In this paper we propose a backstepping boundary control law for Burgers ' equation with actuator dynamics. While the control law without actuator dynamics depends only on the signals u(0, t)...
Andras Balogh, Miroslav Krstic
We consider the Korteweg--de Vries--Burgers (KdVB) equation on the interval [0; 1]. Motivated by poor decay rates of a recently proposed control law by Liu and Krstic which keeps some of the boundary...
Closed-Form Solutions Of Stochastic And Deterministic Nonlinear Control Problems (2007)
: We review our recent results on stabilization and optimal disturbance attenuation for nonlinear systems with uncertainties. The systems are affine in the control and the disturbance but otherwise...
Stochastic Nonlinear Lyapunov Stabilization and Inverse Optimality (2007)
. While the current robust nonlinear control toolbox includes a number of methods for systems affine in deterministic bounded disturbances, the problem when the disturbance is unbounded stochastic...
Global Attitude/Position Regulation for Underwater Vehicles (2007)
Dejan M. Boskovic, Miroslav Krstic
In this paper a nonlinear controller is designed for a 6dof model of an unmanned underwater vehicle (UUV) which includes both the kinematics and the dynamics. It is shown how the use of a Lyapunov...
Andras Balogh, Miroslav Krstic, In L
We consider the viscous Burgers equation under recently proposed nonlinear boundary conditions which guarantee global asymptotic stabilization and semiglobal exponential stabilization in H 1 sense....
Kartik B. Ariyur, Miroslav Krstic
The paper provides a multivariable extremum seeking scheme, the first for systems with general time-varying parameters. We derive a stability test in a simple SISO format and develop a systematic...
Tuning of a Combustion Controller by Extremum Seeking: A Simulation Study 1 (2007)
Georg Schneider, Kartik B. Ariyur, Miroslav Krstic
krstic.ucsd.edu Attenuation of thermoacoustic instabilities by active control has lately received considerable attention. Many experimentally successful endeavors have used phase-shifting controllers...
Identification of Averaged Dynamics of a Controlled Combustion Instability 1 (2007)
Kartik B. Ariyur, Andrzej Banaszuk, Miroslav Krstic
Attenuation of thermoacoustic oscillations by active control has lately received considerable attention. In the present work, we identify the averaged dynamics or the dynamics of the amplitude of a...
Open Problems On, Vincent D. Blondel, Alexander Megretski, Roger Brockett, Jean-michel Coron, Miroslav Krstic, ...
this paper we consider the well-known Schur problem the solution of which satisfy in addition the extremal condition (z)w(z) min ; jzj < 1 (58.1) where w(z) and min are mxm matrices and min > 0...
APPLICATION OF STANDARD CHEST X-RAY IN DETECTION OF HEART CONDITIONS (2007)
Rade R Babic, Mirko Burazor, Miroslav Krstic, Sasa Zivic, Natasa Markovic, Ivana Burazor
This paper focuses on heart conditions which can be diagnosed using a technically correct standard chest X-ray. The paper presents: dextrocardia, aortic coarctation, isolated stenosis of the...
Optimal Mixing Enhancement in 3-D Pipe Flow (2005)
We design a Lyapunov based-boundary feedback controller for achieving mixing in a three-dimensional (3-D) pipe flow governed by Navier-Stokes equations. We show that the control law maximizes a...
Smyshlyaev, Andrey S, Krstic, MIROSLAV
In this paper, a problem of boundary stabilization of a class of linear parabolic partial integro-differential equations (P(I)DEs) in one dimension is considered using the method of backstepping,...
Smyshlyaev, Andrey S, Krstic, MIROSLAV
In this paper, a problem of boundary stabilization of a class of linear parabolic partial integro-differential equations (P(I)DEs) in one dimension is considered using the method of backstepping,...
We identify a class of feedforward nonlinear systems that are linearizable by a coordinate change. Then we develop explicit expressions for the Lyapunov-based integrator forwarding recursive...
Balogh, Andras, Krstic, Miroslav
We examine the stability properties of a class of LTV difference equations on an infinite-dimensional state space that arise in backstepping designs for parabolic PDEs. The nominal system matrix of...
Extremum Seeking Control for Discrete-Time Systems (2002)
In this note, the concept of wide-band noise is analyzed via a certain integral representation. It is proved that there are infinitely many wide-band noise processes represented in integral form...
Stabilization of Stochastic Nonlinear Systems Driven by Noise of Unknown Covariance (2001)
Krstic, MIROSLAV, Williams, Ruth J
This paper poses and solves a new problem of stochastic (nonlinear) disturbance attenuation where the task is to make the system solution bounded (in expectation, with appropriate nonlinear...
We address the problem of Dirichlet and Neumann boundary control of the Kuramoto-Sivashinsky equation on the domain [0, 1]. First we note that, while the uncontrolled Dirichlet problem is...
Strong stabilization of the system of linear elasticity by a Dirichlet boundary feedback (2000)
Liu, Wei-Jiu, Krstic, Miroslav
In this paper, by using the Nagy–Foias–Foguel theory of decomposition of continuous semigroups of contractions, we prove that the system of linear elasticity is strongly stabilizable by a...
Vincent D. Blondel, Alexander Megretski, Roger Brockett, Jean-michel Coron, Miroslav Krstic, Anders Rantzer, ...
Some of the problems appearing in this booklet will appear in a more extensive forthcoming book on open problems in systems theory. For more information about this future book, please consult the...
Optimizing Bioreactors by Extremum Seeking (1999)
Hsin-Hsiung Wang, Miroslav Krstic, Georges Bastin
The optimization of the operation of biological reactors is an interesting nonlinear problem whose solution offers potential economic benefit. We apply a peak seeking method to approach the maximum...
On Global Stabilization of Burgers' Equation by Boundary Control (1999)
Although often referred to as a one-dimensional "cartoon" of Navier-Stokes equation because it does not exhibit turbulence, the Burgers' equation is a natural first step towards...
A Second Generation of Backstepping Designs and Robust Nonlinear Control of Aeroengines (1998)
The objective of this research has been twofold: (1) to develop nonlinear control design techniques that can systematically accommodate nonlinearities and have optimality properties, and (2) develop...
A Second Generation of Backstepping Designs and Robust Nonlinear Control of Aeroengines (1998)
The research completed has established connections between systematic methods of nonlinear stabilization and nonlinear optimal control. The redesigns of adaptive and robust nonlinear controllers...
A Second Generation of Backstepping Designs and Robust Nonlinear Control of Aeroengines (1998)
The research completed has established connections between systematic methods of nonlinear stabilization and nonlinear optimal control. The redesigns of adaptive and robust nonlinear controllers...
Stabilization of Nonlinear PDE's and Applications to Control of Flows (1998)
We have contributed in three general areas that are relevant to high performance control of aerospace vehicles. We have developed systematic techniques for real time optimization using the method of...
We address the class of stochastic output-feedback nonlinear systems driven by noise whose covariance is time varying and bounded but the bound is not known a priori. This problem is analogous to...
Miroslav Krstic, Dan Fontaine, Petar V. Kokotovic, James D. Paduano
Compressor stall and surge are complex nonlinear instabilities that reduce the performance and can cause failure of aircraft engines. We design a feedback controller that globally stabilizes a broad...
Extremum Seeking Feedback: Stability Proof and Application to an Aeroengine Compressor Model (1998)
Miroslav Krstic, Hsin-Hsiung Wang, Summitted To Automatica
While the mainstream methods of adaptive control (both linear and nonlinear) deal only with regulation to known set points or reference trajectories, in many applications the set point should be...
Kartik B. Ariyur, Miroslav Krstic
Blade vortex interaction (BVI) noise has been recognized as the primary determinant of the helicopter's far field acoustic signature. Given the limitations of design in eliminating this dynamic...
Inverse Optimal Stabilization of a Rigid Spacecraft (1998)
Miroslav Krstic, Panagiotis Tsiotras
We present an approach for constructing optimal feedback control laws for regulation of a rotating rigid spacecraft. We employ the inverse optimal control approach which circumvents the task of...
Stabilization of Stochastic Nonlinear Systems Driven by Noise of Unknown Covariance (1997)
. The paper poses and solves a new problem of stochastic (nonlinear) disturbance attenuation where the task is to make the system solution bounded (in probability) by a monotone function of the...
Inverse Optimality Results for the Attitude Motion of a Rigid Spacecraft (1997)
Miroslav Krstic, Panagiotis Tsiotras
We present an approach for constructing optimal feedback control laws for optimal regulation of a rotating rigid spacecraft. We employ the inverse optimal control approach which circumvents the task...
Stochastic Nonlinear Stabilization - Part I: A Backstepping Design (1997)
While the current robust nonlinear control toolbox includes a number of methods for systems affine in a deterministic bounded disturbances, the problem when the disturbance is unbounded stochastic...
Stochastic Nonlinear Stabilization - Part II: Inverse Optimality (1997)
After considering the stabilization of a specific class of stochastic nonlinear systems in a companion paper, in this second part, we address the classical question of when is a stabilizing (in...
Inverse Optimal Design of Input-to-State Stabilizing Nonlinear Controllers (1997)
We show that input-to-state stabilizability (as defined by Sontag) is both necessary and sufficient for the solvability of a Hamilton-Jacobi-Isaacs equation associated with a meaningful differential...
Optimal Design of Adaptive Tracking Controllers for Nonlinear Systems (1997)
We pose and solve an "inverse optimal" adaptive tracking problem for nonlinear systems with unknown parameters. A controller is said to be inverse optimal when it minimizes a meaningful...
Nonlinear and adaptative control design (1995)
Krstic, Miroslav, Kanellakopoulos, Ioannis, Kokotovic, Petar
Incluye índice
Krstic, Miroslav, Kanellakopoulos, Ioannis, Kokotovic, Petar
Incluye índice
Performance Improvement and Limitations in Extremum Seeking Control
We propose the inclusion of a dynamic compensator in the extremum seeking algorithm which improves the stability and performance properties of the method. This compensator is added to the integrator...