Quantized Stabilization of Markov Jump Linear Systems via State Feedback

被引：11
|
作者：
Xiao, Nan [1 ]
Xie, Lihua [1 ]
Fu, Minyue [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
来源：
2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9 | 2009年
关键词：
NETWORKED CONTROL; PACKET LOSS; STABILITY; LOSSES;
D O I：
10.1109/ACC.2009.5160106
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 addresses the quantized stabilization problem for single-input Markov jump systems. Mode-dependent and mode-independent quadratic control Lyapunov functions based on the availability of mode information at controller/quantizer are considered for the quantized feedback. Similar to the linear time-invariant case, it is shown that a mode-dependent (respectively, mode-independent) logarithmic quantizer is optimal (coarsest) in the mean square quadratic stability (respectively, strongly mean square quadratic stability) sense for Markov jump systems. Moreover, the sector bound approach is shown to be nonconservative in investigating the corresponding quantized state feedback problem. Under an appropriate definition of quantization coarseness, we also present a method of optimal quantizer design in terms of linear matrix inequalities. Several examples including applications in networked control systems are given to demonstrate the results.
引用
收藏
页码：4020 / +
页数：2
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