Robust H^|^infin; Control Problem for Nonstandard Singularly Perturbed Systems Via Output Feedbackt

Robust Control Problem for Nonstandard Singularly Perturbed Systems Under Perfect State Measurements

This paper considers the robust control problem for nonstandard singularly perturbed systems with time-varying norm-bounded parameter uncertainties in state equations. In order to obtain the controller such that both robust stability and a disturbance attenuation level larger than a arbitrary boundary value are achieved, irrespective of uncertainties, we must solve algebraic Riccati equation wi...

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 ...

Near-optimal control of nonstandard singularly perturbed systems

Robust H1 control for standard discrete-time singularly perturbed systems

The state feedback H1 control problem for standard discrete-time singularly perturbed systems with polytopic uncertainties is considered. Two methods for designing H1 controllers are given in terms of solutions to a set of linear matrix inequalities, where one of them is with the consideration of improving the upper bound of singular perturbation parameter e. Moreover, a method of evaluating th...

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...