title: Robust guaranteed cost control for singular Markovian jump systems with time-varying delay.
abstract: This paper is concerned with the guaranteed cost control for continuous-time singular Markovian jump systems with time-varying delay. Without using the free weighting matrices method, a delay-range-dependent condition is derived in terms of strict linear matrix inequality (LMI), which guarantees that the singular system is regular, impulse free and mean-square exponentially stable with an H(∞) performance. Based on this, the existence condition of the guaranteed cost state feedback controller is proposed. A numerical example is given to illustrate the effectiveness and less conservatism of the proposed design method.
authors.affiliation: School of Aeronautics and Astronautics, Shanghai Jiaotong University, Dongchuan Road No. 800, MinHang District, Shanghai 200240, PR China.
authors.forename: Yueying
authors.initials: Y
authors.lastname: Wang
authors.forename: Quanbao
authors.initials: Q
authors.lastname: Wang
authors.forename: Pingfang
authors.initials: P
authors.lastname: Zhou
authors.forename: Dengping
authors.initials: D
authors.lastname: Duan
mesh_terms: D003198:Computer Simulation; D005246:Feedback; D008390:Markov Chains; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D012815:Signal Processing, Computer-Assisted