Prescribed-Time Control With Linear Decay for Nonlinear Systems

被引：12

作者：

Shakouri, Amir ^{[1
]}

Assadian, Nima ^{[1
]}

机构：

[1] Sharif Univ Technol, Dept Aerosp Engn, Tehran 1458889694, Iran

来源：

IEEE CONTROL SYSTEMS LETTERS | 2022年 / 6卷

关键词：

Stability analysis; Asymptotic stability; Numerical stability; Nonlinear systems; Convergence; Control systems; Time-varying systems; Nonlinear output feedback; uncertain systems; prescribed-time control; triangular stability; FEEDBACK;

D O I：

10.1109/LCSYS.2021.3073346

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 letter, a new notion of stability is introduced, which is called triangular stability. A system is called triangularly stable if the norm of its state vector is bounded by a decreasing linear function of time such that its intersection point with the time axis can be arbitrarily commanded by the user. Triangular stability implies prescribed-time stability, which means that the nonlinear system is converged to zero equilibrium at an arbitrary finite time. A prescribed-time controller with guaranteed triangular stability is developed for normal form nonlinear systems with uncertain input gain, which is able to reject the disturbances and unmodeled dynamics. Numerical simulations are carried out to visualize the results for second and fourth-order systems.

引用

页码：313 / 318

页数：6

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