Fixed‐time stability analysis and stabilization control of a class of nonlinear systems with output constraints
Xiandong Chen, Xianfu Zhang, Chunjiang Qian
Abstract
Abstract This article investigates the fixed‐time stabilization problem for a class of high‐order nonlinear systems with monotone degrees and output constraints. Firstly, a new fixed‐time stability criterion is established, which is less conservative in the explicit and delicate selection of Lyapunov functions. Then, by choosing a novel ‐type barrier Lyapunov function (BLF) and using the generalized adding a power integrator (AAPI) technique, a fixed‐time stabilization controller is explicitly constructed while achieving the requirement of state constraints. The novelty of the proposed control strategy can tackle simultaneously the fixed‐time stabilization of the involved systems with and without output constraints, without changing the controller structure. A simulation example is given to show the effectiveness of the proposed control strategy.