Stabilization of a Cascade System of ODE-PDE Subject to Boundary Control Matched Disturbance

被引：0

作者：

Wang, Jun-Min ^{[1
]}

Wang, Li-Li ^{[1
]}

Liu, Jun-Jun ^{[1
]}

Ren, Beibei ^{[2
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

[2] Texas Tech Univ, Dept Mech Engn, Lubbock, TX 79409 USA

来源：

2014 11TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA) | 2014年

基金：

中国国家自然科学基金;

关键词：

Boundary control; Disturbance rejection; Sliding mode control; Cascade systems; Backstepping; OUTPUT-FEEDBACK STABILIZATION; EULER-BERNOULLI BEAM; SLIDING MODE CONTROL; WAVE-EQUATION; PARAMETER-ESTIMATION; ACTIVE DISTURBANCE; REJECTION; DESIGN;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we are concerned with the boundary feedback stabilization of a cascade system of ODE-PDE with the external disturbance flowing the control end, where the PDE is described by a heat equation with Dirichlet interconnection. We use the sliding mode control (SMC) to deal with the disturbance. By the SMC approach, the disturbance is supposed to be bounded only. The existence and uniqueness of the solution for the closed-loop via SMC are proved, and the monotonicity of the "reaching condition" is presented without the differentiation of the sliding mode function, for which it may not always exist for the weak solution of the closed-loop system.

引用

页码：856 / 860

页数：5

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