The robust control scheme for a kind of Markovian jump nonlinear systems via fully actuated system approaches

Abstract The robust control method for a kind of the Markovian jump nonlinear systems is investigated in this paper based on the fully actuated characteristics for the first time. The nonlinear terms in the Markovian jump nonlinear system is canceled out by utilizing the fully actuated system approach. With this, a robust control strategy is proposed by incorporating the linear quadratic regulator. The proposed robust control strategy can arbitrarily adjust the closed-loop system dynamic characteristics by using the pole configuration principle. However, acquiring nonlinear terms in the controller is a difficult problem. For this reason, by using a neural network to fit the nonlinear term and considering the disturbance, an improved robust control strategy is proposed by combining with the sliding mode control technique. Some convergence results are given for the developed control methods. The validity and advantages of the improved robust control strategy present in this paper are verified by some numerical simulation examples. Mathematics Subject Classification (2020) MSC code1 · MSC code2 · more