STATIC OUTPUT FEEDBACK CONTROL OF STOCHASTIC DECENTRALIZED SINGULARLY PERTURBED SYSTEMS

Robust output feedback control of nonlinear singularly perturbed systems

In this work, we consider nonlinear singularly perturbed systems with time-varying uncertain variables, for which the fast subsystem is asymptotically stable and the slow subsystem is input/output linearizable and possesses input-to-state stable (ISS) inverse dynamics. For these systems, we synthesize a robust output feedback controller that ensures boundedness of the state and enforces robust ...

On output feedback control of singularly perturbed systems

We treat the problem of robustness of output feedback controllers with respect to singular perturbations. Given a singularly perturbed control system whose boundary layer system is exponentially stable and whose reduced order system is exponentially stabilizable via a (possibly dynamical) output feedback controller, we present a sufficient condition which ensures that the system obtained by app...

Control of Discrete-Time Singularly Perturbed Systems via Static Output Feedback

and Applied Analysis 3 (ii) Let A, B, and C be given such that the following LMI A + BC T + CB T < 0 (8) holds. Lemma 3 (see [20]). The following two statements are equivalent. (i) Let A, B, and C be given such that the LMI

Control of singularly perturbed hybrid stochastic systems

In this paper, we study a class of optimal stochastic control problems involving two different time scales. The fast mode of the system is represented by deterministic state equations whereas the slow mode of the system corresponds to a jump disturbance process. Under a fundamental “ergodicity” property for a class of “infinitesimal control systems” associated with the fast mode, we show that t...

Controller Design of Decentralized Singularly Perturbed Systems