Mixed H(2)/H(infinity) control of uncertain jumping time-delay systems

作者：Mahmoud Magdi S^*; Al Sunni Fouad M; Shi Yan

来源：Journal of the Franklin Institute, 2008, 345(5): 536-552.

DOI：10.1016/j.jfranklin.2008.03.001

• state-delay systems
• mixed H(2)/H(infinity) control
• asymptotic stability
• norm-bounded parametric uncertainties

In this paper, we investigate a class of linear continuous-time systems with Markovian jump parameters. An integral part of the system dynamics is a delayed state with time-varying and bounded delays. The jumping parameters are modeled as a continuous-time, discrete-state Markov process. Employing norm-bounded parametric uncertainties and utilizing the second-method of Lyapunov, we examine the problem of designing a mixed H(2)/H(infinity) controller which minimizes a quadratic H(2) performance measure while satisfying a prescribed H(infinity)-norm bound on the closed-loop system. It is established that sufficient conditions for the existence of the mixed H(2)/H(infinity) controller and the associated performance upper bound could be cast in the form of linear matrix inequalities.

• 出版日期2008-8
• 单位中国石油大学（北京）