Ultimate Boundedness Sets for Continuous-time Linear Systems with Deadzone Feedback Controls

Ultimate Boundedness Sets for Continuous-time Linear Systems with Deadzone Feedback Controls

This paper is concerned with the construction of positively invariant convex polyhedral uniform ultimate boundedness sets for linear continuous-time systems with stabilizing deadzone feedback control laws. The objective is delimitation and region of attraction estimation of possible limit cycles aro...

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1. Verfasser: Milani, B.E.A.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Adaptive control
Control nonlinearities
Control systems
Feedback control
Limit-cycles
Linear systems
Lyapunov method
Nonlinear control systems
Sensor systems
Stability
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description This paper is concerned with the construction of positively invariant convex polyhedral uniform ultimate boundedness sets for linear continuous-time systems with stabilizing deadzone feedback control laws. The objective is delimitation and region of attraction estimation of possible limit cycles around origin of open-loop unstable systems. Limit cycle delimitation is performed via construction of a positively invariant convex compact polyhedral estimate of the minimal positively invariant set containing an arbitrarily small neighborhood of origin. Region of attraction estimation is performed via construction of a piecewise-affine Lyapunov function assuring uniform ultimate boundedness in the above mentioned convex positively invariant polyhedral set.
doi_str_mv 10.1109/CDC.2005.1583264
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subjects Adaptive control
Control nonlinearities
Control systems
Feedback control
Limit-cycles
Linear systems
Lyapunov method
Nonlinear control systems
Sensor systems
Stability
title Ultimate Boundedness Sets for Continuous-time Linear Systems with Deadzone Feedback Controls
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