Robust Derivative Feedback Control for Systems with Uncertain Equilibrium States

被引：0

作者：

Arthur, Khalid M. ^{[1
]}

Yoon, Se Young ^{[1
]}

机构：

[1] Univ New Hampshire, Dept Elect & Comp Engn, Durham, NH 03824 USA

来源：

2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC) | 2019年

基金：

美国国家科学基金会;

关键词：

LINEAR-SYSTEMS; POLE-PLACEMENT; CHAOS;

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：

This paper investigates the robust stabilization of nonlinear dynamic systems with uncertain or unknown equilibrium states by derivative feedback control. A generalized design method for the state-derivative feedback controller is presented to stabilize the dynamics of nonlinear systems at their true equilibrium state, when the exact location of such equilibrium is unknown in the design and implementation of the feedback control law. The robustness of the derivative feedback controller to norm-bounded dynamic model uncertainty is also investigated, and linear matrix inequality conditions are derived to guarantee the stability of the closed-loop system. The proposed control scheme is tested on the Rossler attractor, which exhibits complex chaotic behavior when uncontrolled, and we demonstrate the effectiveness of our derivative feedback solution.

引用

页码：5793 / 5798

页数：6

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