Observer-Driven Switching Design for Stabilizing Continuous-Time Switched Autonomous Linear Systems

For switched autonomous linear systems, feedback stabilization is to seek a proper switching strategy to steer the system exponentially stable. For continuous-time switched autonomous linear systems, under the mild assumption that the system is switched observable, we propose a novel hybrid observer that could exactly estimate the system state in any given time interval. For a stabilizable switched system, by incorporating the observer into the pathwise switching mechanism, the resultant observer-driven switching law could achieve exponential stability.