Performance analysis of saturated systems via two forms of differential inclusions

In this paper we develop a systematic Lyapunov approach to the regional stability and performance analysis of saturated systems in a general configuration. The only assumptions we make about the system are local stability and well-posedness of the algebraic loop. Problems to be considered include th...

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Bibliographic Details
Published inProceedings of the 44th IEEE Conference on Decision and Control pp. 8100 - 8105
Main Authors Tingshu Hu, Teel, A.R., Zaccarian, L.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2005
Subjects
Actuators
Algorithm design and analysis
Control systems
deadzone
Design optimization
domain of attraction
Linear matrix inequalities
Lyapunov functions
Lyapunov method
nonlinear L
Performance analysis
Performance gain
reachable set
saturation
Stability analysis
Stability criteria
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Summary:In this paper we develop a systematic Lyapunov approach to the regional stability and performance analysis of saturated systems in a general configuration. The only assumptions we make about the system are local stability and well-posedness of the algebraic loop. Problems to be considered include the estimation of the domain of attraction, the reachable set under a class of norm-bounded disturbances and the nonlinear L 2 gain. The regional analysis is established upon an effective treatment of the algebraic loop and the deadzone function. This treatment yields two forms of differential inclusions, a polytopic differential inclusion (PDI) and a normbounded differential inclusion (NDI), for the description of the original system. The corresponding conditions for stability and performance are derived as Linear Matrix Inequalities (LMIs).
ISBN:9780780395671
0780395670
ISSN:0191-2216
DOI:10.1109/CDC.2005.1583473