Control synthesis for dynamic switched systems

Author(s)

Grace Silva Deaecto

• Document type: Master's Dissertation
• Press: Campinas, SP.
• Institution: Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Elétrica e de Computação
• Defense date: 2007-08-24

Examining board members

José Cláudio Geromel; Akebo Yamakami; Liu Hsu; Marcelo Carvalho Minhoto Teixeira

• Advisor: José Cláudio Geromel

Abstract

In this work, sufficient conditions are proposed for the study of asymptotic stability of continuous time linear systems with commutation, which assure a guaranteed cost of performance. These conditions depend on the solution of a set of Lyapunov-Metzler inequalities, defined in [Geromel & Colaneri, 2006], which are difficult to solve due to their non-convex nature. However, to circumvent this difficulty, we present more conservative stability conditions based on a subclass of Metzler matrices characterized by having equal elements on the main diagonal. Although these conditions are more conservative, they can be solved by Linear Matrix Inequalities (LMls) and unidimensional search. The analysis done in [Geromel & Colaneri, 2006], which provides the stability conditions for linear dynamic systems with commutation is expanded to cover a more general class of systems with commutation and subject to impulsive disturbances. The conditions presented in this work assure the stability even in the presence of possible sliding modes (AU)