On output feedback multiobjective control for singularly perturbed systems
Summary: A new design procedure for a robust \(H_2\) and \(H_{\infty}\) control of continuous-time singularly perturbed systems via dynamic output feedback is presented. By formulating all objectives in terms of a common Lyapunov function, the controller will be designed through solving a set of inequalities. Therefore, a dynamic output feedback controller is developed such that \(H_{\infty}\) and \(H_2\) performance of the resulting closed-loop system is less than or equal to some prescribed value. Also, \(H_{\infty}\) and \(H_2\) performance for a given upperbound of singular perturbation parameter \(\epsilon \in (0, {\epsilon}{\ast}]\) are guaranteed. It is shown that the \(\epsilon\)-dependent controller is well defined for any \(\epsilon \in (0, {\epsilon}{\ast}]\) and can be reduced to an \(\epsilon\)-independent one so long as \(\epsilon\) is sufficiently small. Finally, numerical simulations are provided to validate the proposed controller. Numerical simulations coincide with the theoretical analysis.
scientific article; zbMATH DE number 5904927
scientific article