Adaptive Finite-Time Command Filtered Backstepping Control for Markov Jumping Nonlinear Systems with Full-State Constraints

This brief investigates the problem of finite-time control for a class of uncertain Markov jumping nonlinear systems with state constraints and input saturation. A novel fraction-power and barrier Lyapunov function based adaptive command filtered backstepping scheme is proposed. The new design technique can not only avoid the analytic computation of the derivative of virtual control functions, but also guarantee the closed-loop system is practically finite-time stable in mean square. Examples with simulations are given to illustrate the effectiveness of the theoretic results obtained.