Mean square stability analysis of sampled-data supervisory control systems

Testable second moment stability conditions for discrete-time supervisory control systems were recently developed using the Hybrid Jump Linear Systems (HJLSpsilas) framework. These tests are extended here to sampled-data supervisory control systems using the new sampled-data HJLS (SD-HJLS) framework. It is shown first that the p-moment stability of SD-HJLSpsilas equipped with ideal sample and hold operators is equivalent to that of their associated HJLSpsilas. Then, the second moment stability analysis tools developed for HJLSpsilas are extended to SD-HJLSpsilas. Finally, the results are illustrated through a Monte Carlo simulation of a simple example.