Robust finite-time non-fragile memory H∞ control for discrete-time singular Markovian jumping systems subject to actuator saturation

This paper considers the problem of robust finite-time non-fragile memory H∞ control for discrete-time singular Markovian jumping systems with actuator saturation. By using the multiple Lyapunov function approach and the linear matrix inequalities (LMIs) techniques, novel sufficient conditions are obtained that ensure the systems singular stochastic finite-time bounded and singular stochastic finite-time H∞ bounded are obtained. Then the non-fragile memory feedback controllers are designed and the results are extended to LMI convex optimization problems to get the optimal values of attenuation level and the estimation of saturation attraction domain. Finally, some numerical examples are provided to illustrate the viability and effectiveness of the proposed methods.