A ROBUST STABILITY TEST FOR BIMODAL SYSTEMS

Abstract

This paper studies robust stability problem for bimodal systems with continuous vector field. Firstly, a corollary is presented to construct common quadratic Lyapunov function to check the robust stability of the related system with norm-bounded uncertainties. Then, a mechanical system in bimodal configuration is provided and the switching mechanism of the system is simulated with nominal and norm-bounded uncertain parameters. The effectiveness of the study is demonstrated with simulation studies on spring-mass-damper system.