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Symbolic models for nonlinear control systems affected by disturbances | IEEE Conference Publication | IEEE Xplore

Symbolic models for nonlinear control systems affected by disturbances


Abstract:

Symbolic models are abstract descriptions of continuous systems in which symbols represent aggregates of continuous states. In the last few years there has been a growing...Show More

Abstract:

Symbolic models are abstract descriptions of continuous systems in which symbols represent aggregates of continuous states. In the last few years there has been a growing interest in the use of symbolic models as a tool for analysis and synthesis of complex systems. In fact, symbolic models enable the use of well known algorithms in the context of supervisory control and algorithmic game theory, for controller synthesis. Since the 1990s many researchers faced the problem of identifying classes of dynamical and control systems that admit symbolic models. In this paper we make further progress along this research line by focusing on control systems affected by disturbances. Our main contribution is to show that incrementally globally asymptotically stable nonlinear control systems with disturbances admit symbolic models. When specializing these results to linear systems, we show that these symbolic models can be easily constructed.
Date of Conference: 09-11 December 2008
Date Added to IEEE Xplore: 06 January 2009
ISBN Information:
Print ISSN: 0191-2216
Conference Location: Cancun, Mexico

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