Finite-Time Stabilization for Continuous Triangular Systems via Vector Lyapunov Function Approach

• 成果类型: Article
• 署名作者: Ye, Huawen
• 署名单位: Central South University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3159593
• 发表日期: 2022
• 页码: 4786-4793
• 关键词: Lyapunov methods; Nonlinear systems; control systems; Continuous time systems; Stability criteria; Search problems; Pressing; Continuous nonlinear systems; finite-time stabilization; saturated control; vector Lyapunov function

摘要

This article provides finite-time stabilizing control laws for the continuous triangular systems, in which the nominal dynamics is the chain of power integrators with the power of a positive odd rational number. For a class of continuous lower-triangular systems, the linear controllers are designed. By invoking a vector Lyapunov function theory, there is no need to use the usual back-stepping technique and a quite number of inequality computations are avoided. For a class of continuous upper-triangular systems, the nested-saturation controllers are constructed. In this case, the use of a vector Lyapunov function theory also helps to reduce computational burden, and allows us to summarize a same group of parameter conditions guaranteeing both the reduction of saturated terms and the finite-time stability of the reduced system.