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Global Asymptotic Controllability Implies Input to State Stabilization (1998)

Abstract
The main problem addressed in this paper is the design of feedbacks for globally asymptotically controllable (GAC) control affine systems that render the closed loop systems input to state stable with respect to actuator errors. Extensions for fully nonlinear GAC systems with actuator errors are also discussed. Our controllers have the property that they tolerate small observation noise as well.. Submitted to SIAM Jnl. on Control and Optimization. Prepared in cooperation with Institut Girard Desargues, Universite Lyon, France; Louisiana State University, Baton Rouge, LA; and A&M College, Baton Rouge, LA. Sponsored in part by National Science Foundation (NSF) under grant no. CCR-0206789.

Publication details
Download http://handle.dtic.mil/100.2/ADA437316
Contributors RUTGERS - THE STATE UNIV NEW BRUNSWICKNJ DEPT OF MATHEMATICS
Repository Defense Technical Information Center OAI-PMH Repository (United States)
Keywords OPERATIONS RESEARCH, CYBERNETICS, *STABILIZATION, *CONTROL SYSTEMS, *CONTROL THEORY, *STATIC STABILITY, INPUT, NONLINEAR SYSTEMS, SMOOTHING(MATHEMATICS), LYAPUNOV FUNCTIONS, CLOSED LOOP SYSTEMS, FEEDBACK, ERRORS, ACTUATORS., *GAC(GLOBALLY ASYMPTOTICALLY CONTROLLABLE), ASYMPTOTIC CONTROLLABILITY, ISS(INPUT TO STATE STABILITY), NONSMOOTH ANALYSIS, PREPRINTS
Language eng