Stability analysis and design of reset systems: Theory and an application

被引:69
作者
Guo, Yuqian [1 ]
Wang, Youyi [1 ]
Xie, Lihua [1 ]
Zheng, Jinchuan [2 ]
机构
[1] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore
[2] Univ Newcastle, Sch Elect Engn & Comp Sci, Callaghan, NSW 2308, Australia
关键词
Reset control systems; Stability; Reset law; Hard disk drive systems; H-INFINITY-CONTROL; LINEAR-SYSTEMS; PLANT;
D O I
10.1016/j.automatica.2008.08.016
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 stability analysis and design of reset control systems where the reset time instants are pre-specified. Firstly, in order to quantify stability of reset control systems, we propose an approach which does not rely on the stability of base linear systems. Based on this, some Lie-algebraic conditions for stability of reset control systems are obtained. Then, we develop a method for reset law design which aims at improving transient responses of the base linear systems. In addition, observer-based design is also considered. We prove that under some mild conditions, reset controller and observer can be designed separately. The obtained results are applied to short-span-seeking control of a kind of single stage hard disk drive servo systems. Simulations show that the proposed design is much more capable of improving transient response than traditional control design techniques. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:492 / 497
页数:6
相关论文
共 33 条
[1]   Lie-algebraic stability criteria or switched systems [J].
Agrachev, AA ;
Liberzon, D .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2001, 40 (01) :253-269
[2]  
Beker O., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2780, DOI 10.1109/CDC.1999.831353
[3]   Fundamental properties of reset control systems [J].
Beker, O ;
Hollot, CV ;
Chait, Y ;
Han, H .
AUTOMATICA, 2004, 40 (06) :905-915
[4]   Plant with integrator: An example of reset control overcoming limitations of linear feedback [J].
Beker, O ;
Hollot, CV ;
Chait, Y .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (11) :1797-1799
[5]  
Beker O., 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251), P3044, DOI 10.1109/ACC.1999.782320
[6]   An active truss element and control law for vibration suppression [J].
Bobrow, JE ;
Jabbari, F ;
Thai, K .
SMART MATERIALS & STRUCTURES, 1995, 4 (04) :264-269
[7]  
Branicky MS, 1997, IEEE DECIS CONTR P, P120, DOI 10.1109/CDC.1997.650600
[8]  
Bupp RT, 1997, P AMER CONTR CONF, P2647, DOI 10.1109/ACC.1997.611936
[9]   On Horowitz's contributions to reset control [J].
Chait, Y ;
Hollot, CV .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2002, 12 (04) :335-355
[10]   Composite nonlinear feedback control for linear systems with input saturation: Theory and an application [J].
Chen, BM ;
Lee, TH ;
Peng, KM ;
Venkataramanan, V .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (03) :427-439