Nonlinear Polytopic Systems With Predefined Time Convergence

被引：14

作者：

Kumar, Sunil ^{[1
]}

Soni, Sandeep Kumar ^{[1
]}

Pal, Anil Kumar ^{[1
]}

Kamal, Shyam ^{[1
]}

Xiong, Xiaogang ^{[2
]}

机构：

[1] Indian Inst Technol BHU, Dept Elect Engn, Varanasi 221005, India

[2] Harbin Inst Technol, Sch Mech & Automat, Dept Control Sci & Engn, Shenzhen 518055, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2024年 / 71卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Convergence; Lyapunov methods; Uncertainty; Sufficient conditions; State feedback; Indexes; Circuit stability; Polytopic systems; predefined time convergence; finite-time convergence; fixed-time convergence; control Lyapunov function; ROBUST STABILIZATION; STABILITY;

D O I：

10.1109/TCSII.2021.3125722

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This brief deals with predefined time control for nonlinear polytopic systems. With such a control, the settling time function is uniform with respect to initial conditions of the system and can be chosen by the designer. By using the control Lyapunov function, a sufficient condition is investigated for the existence of a continuous and predefined time stable state feedback controller. The obtained sufficient condition is also necessary, such that the closed-loop nonlinear polytopic system has a robust control Lyapunov function (RCLF) for all possible parametric uncertainties. Finally, a practical system shows the efficacy of the proposed approach.

引用

页码：632 / 636

页数：5

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