\(H_{\infty}\) optimal stabilization of a class of uncertain impulsive systems: An LMI approach. (English) Zbl 1158.93343
Summary: This paper studies \(H_{\infty}\) optimal control problems for a class of impulsive dynamical systems with norm-bounded time-varying uncertainty. By using a linear matrix inequality approach, some sufficient conditions are established to ensure both internally asymptotical stability and \(H_{\infty}\) optimal performance of the impulsive closed-loop system. Moreover, based on the stability criteria, a linear time-invariant stabilizing control law is designed. Finally, a numerical example is presented to illustrate the effectiveness of our results.
MSC:
93B52 | Feedback control |
93B36 | \(H^\infty\)-control |
37N40 | Dynamical systems in optimization and economics |