Adaptive Finite-Time Command Filtered Backstepping Control for Markov Jumping Nonlinear Systems with Full-State Constraints

被引：18
作者：
Zhao, Lin [1 ]
Yu, Jinpeng [1 ]
Shi, Peng [2 ]
机构：
[1] Qingdao Univ, Sch Automat, Qingdao 266071, Peoples R China
[2] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2022年 / 69卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Backstepping; Nonlinear systems; Markov processes; Convergence; Closed loop systems; Circuits and systems; Adaptive systems; Markov jumping nonlinear systems; finite-time control; command filtered backstepping; full-state constrains; LINEAR-SYSTEMS; TRACKING CONTROL; STABILITY;
D O I：
10.1109/TCSII.2022.3152851
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 investigates the problem of finite-time control for a class of uncertain Markov jumping nonlinear systems with state constraints and input saturation. A novel fraction-power and barrier Lyapunov function based adaptive command filtered backstepping scheme is proposed. The new design technique can not only avoid the analytic computation of the derivative of virtual control functions, but also guarantee the closed-loop system is practically finite-time stable in mean square. Examples with simulations are given to illustrate the effectiveness of the theoretic results obtained.
引用
收藏
页码：3244 / 3248
页数：5
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