Preassigned-time control for state-constrained nonlinear systems subject to predefined performance indices

This paper addresses the preassigned-time control issue for state-constrained nonlinear systems subject to predefined performance indices (PPIs). In the recursive control design, a predefined performance barrier Lyapunov function is constructed to achieve the objectives, including the specified convergence time, tracking control indices, and compliance with state constraints. To enhance the negative definiteness of the stability function, a time-varying gain term and an additional sign-indefinite term are introduced in the control design. Through detailed stability analyses, the proposed control approach guarantees the preassigned time stability of the closed-loop and satisfies state constraints and PPIs. Two simulation results support the effectiveness and applicability of the proposed approach.