Stability analysis and design of reset control systems with discrete-time triggering conditions

被引：47

作者：

Guo, Yuqian ^{[1
,2
]}

Gui, Weihua ^{[1
]}

Yang, Chunhua ^{[1
]}

Xie, Lihua ^{[2
]}

机构：

[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Hunan, Peoples R China

[2] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

来源：

AUTOMATICA | 2012年 / 48卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Reset control; Hybrid systems; Discrete-time triggering condition; Stability; Discontinuous Lyapunov function; LYAPUNOV FUNCTIONS; INTEGRATOR; PLANT;

D O I：

10.1016/j.automatica.2011.12.001

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 a reset control system, reset actions are usually triggered whenever a continuous signal crosses a hyperplane. In the computer-based implementation, however, the continuous triggering signal is sampled and the triggering condition is then replaced by a discrete-time counterpart. In this work, we are concerned with the stability analysis and design of reset control systems based directly on discretetime triggering conditions. First, a relationship between reset control systems and switched systems is established and some stability criteria are then obtained. Second, it is revealed through an example that a well-designed reset control system can be regarded as a hybrid system combining an underdamped baseline system with an overdamped reset mode. The reset matrix, which is assumed to be zero in general, can be adjusted to increase the damping ratio and thus further improve the transient performance. Based on this observation, a design guideline for single-input and single-output (SISO) systems is proposed. Lastly, a hard disk drive example is investigated to demonstrate the proposed design procedure. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：528 / 535

页数：8

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