STABILIZATION OF SWITCHED LINEAR SYSTEMS WITH UNKNOWN TIME VARYING DELAYS

We consider continuous time switched systems that are stabilized via a computer. Our goal is to construct a switched digital control for continuous time switched systems that is robust to the varying feedback delay problem. The key idea of this paper is that the control synthesis problem in the case of continuous time systems with uncertain time varying feedback delays can be expressed as a problem of stabilizability for uncertain systems with polytopic uncertainties. For the sake of generality, the problem of switched systems will be considered (the solution for LTI systems can trivially be deduced by eliminating the switching aspect of the problem).