Stability of Planar Switched Systems under Delayed Event Detection

Benoit Legat, Claudio Gomes, Paschalis Karalis, Raphael M. Jungers, Eva M. Navarro-Lopez, Hans Vangheluwe
2020 2020 59th IEEE Conference on Decision and Control (CDC)  
In this paper, we analyse the impact of delayed event detection on the stability of a 2-mode planar hybrid automata. We consider hybrid automata with a unique equilibrium point for all the modes, and we fnd the maximum delay that preserves stability of that equilibrium point. We also show for the class of hybrid automata treated that the instability of the equilibrium point for the equivalent hybrid automaton with delay in the transitions is equivalent to the existence of a closed orbit in the
more » ... ybrid state space, a result that is inspired by the Joint Spectral Radius theorem. This leads to an algorithm for computing the maximum stable delay exactly. Other potential applications of our technique include co-simulation, networked control systems and delayed controlled switching with a state feedback control.
doi:10.1109/cdc42340.2020.9304152 fatcat:5evn6jogiff7taucclfirobkfq