Automatica, Vol.44, No.5, 1431-1436, 2008
Robust H-2 control of continuous-time Markov jump linear systems
This paper is concerned with the problem of designing robust H-2 state-feedback controllers for continuous-time Markov jump linear systems subject to polytopic-type parameter uncertainty. Based on the parameter-dependent Lyapunov function approach, a new method for designing robust H-2 controllers is presented in terms of solutions to a set of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed design method. (C) 2008 Elsevier Ltd. All rights reserved.
Keywords:linear systems;Markov parameters;parameter uncertainty;robust control;linear matrix inequalities (LMIs);parameter-dependent Lyapunov function