Robust control for uncertain impulsive systems with input constraints and external disturbance

Abstract

This paper is concerned with the problem of robust H ∞ control for uncertain impulsive systems with input constraints. The parametric uncertainties are assumed to be time-varying and norm-bounded. The input constraints under consideration are novel reverse polytopic constraints avoiding a set of specified input values. Via the designed state feedback switching control law, the input constraints can be satisfied. Moreover, by applying the Lyapunov function theory, sufficient conditions for robust stabilization and H ∞ control are established in terms of linear matrix inequalities. A numerical example is given to demonstrate the effectiveness of the proposed control method.

Critic Learning-Based Safe Optimal Control for Nonlinear Systems with Asymmetric Input Constraints and Unmatched Disturbances

“…Although symmetric input constraints have been widely investigated in prior research and tackled with various techniques, such as the control problem that concerns the uncertain impulse system that has input constraints, which was handled in [30], and the utilization of integral reinforcement learning with the actor-critic network to address the tracking control problem under input constraints in [31,32], there has been relatively little research on the treatment of asymmetric input constraints that frequently occur in practical systems. Several optimal control methods exist for addressing CT systems with nonlinear dynamics and input constraints that are asymmetric.…”

Robust control for a class of nonlinear systems with input constraints based on actor‐critic learning

“…In the past few years, the input constrained control of nonlinear continuous systems has been studied by many scholars. The robust control problem of uncertain impulse systems with input constraints is solved in Reference 32. For this class of semirigid feedback systems with full state and input constraints, 33 proposed a robust adaptive control scheme based on dynamic surface control.…”