Non-Fragile Guaranteed Cost Control for T-S Fuzzy Markov Jump Systems Under DoS Attacks

An non-fragile guaranteed cost control (GCC) problem for Takagi-Sugeno (T-S) fuzzy Markov jump systems (MJSs) is considered with time-varying delay and DoS attacks, which occur in the communication channel between the controller and the actuator. The non-fragile controller designed by parallel distributed compensation (PDC) is utilized to address the perturbations in controller gains. The sufficient conditions are derived via Lyapunov-Krasovskii function such that the fuzzy closed-loop system with a guaranteed cost function (GCF) is stochastically stable. Then, the uniform upper bound of the GCF and non-fragile controller gains are co-designed by linear matrix inequalities (LMIs). Finally, a simulation experiment of single-link robot arm is presented to verify the availability of the proposed algorithms.