Title :
Analysis of switched and hybrid systems - beyond piecewise quadratic methods
Author :
Prajna, Stephen ; Papachristodoulou, Antonis
Author_Institution :
Control & Dynamical Syst., California Inst. of Technol., Pasadena, CA, USA
Abstract :
This paper presents a method for stability analysis of switched and hybrid systems using polynomial and piecewise polynomial Lyapunov functions. Computation of such functions can be performed using convex optimization, based on the sum of squares decomposition of multivariate polynomials. The analysis yields several improvements over previous methods and opens up new possibilities, including the possibility of treating nonlinear vector fields and/or switching surfaces and parametric robustness analysis in a unified way.
Keywords :
Lyapunov matrix equations; continuous time systems; control system analysis; discrete event systems; optimisation; piecewise polynomial techniques; stability; time-varying systems; convex optimization; hybrid system stability analysis; multivariate polynomials; nonlinear vector fields; parametric robustness analysis; piecewise polynomial Lyapunov functions; piecewise quadratic methods; square decomposition; switched system stability analysis; switching surfaces; Control systems; Functional analysis; Lyapunov method; Performance analysis; Polynomials; Robust stability; Stability analysis; State-space methods; Surface treatment; Switched systems;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1243743
