PDC Controller Design for Hybrid System based on Markov Jump Parameters with Time-varying Delays

In this paper, a PDC controller based on Markov parameter hybrid system with time-varying-delayed is proposed. In order to reduce the conservativeness of Markov jump systems (MJS), Bessel-Legendre inequality and new positive definite rules are used in this paper. Conservatism can be further improved by changing parameter N. In addition, Parallel Distributed Compensation (PDC) control law is considered, which includes memoryless and delayed state feedback. Finally, experiments show that the method is effective and the conservativeness can be reduced by changing N.