Stabilization of Markov Jump Linear Systems with Input Quantization

被引：0
|
作者：
Mingming Ji
Zhijun Li
Bo Yang
Weidong Zhang
机构：
[1] Shanghai University of Engineering Science,Laboratory of Intelligent Control and Robotics
[2] South China University of Technology,College of Automation Science and Engineering
[3] Shanghai Jiao Tong University,Department of Automation and Key Laboratory of System Control and Information Processing, Ministry of Education of China
来源：
Circuits, Systems, and Signal Processing | 2015年 / 34卷
关键词：
Markov jump linear systems; Quantizer; Input quantization; Mean square quadratically stable; Stochastically stable;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper addresses the feedback stabilization problem for Markov jump linear systems with quantized control input. A simple but powerful input controller for eliminating the input quantization in Markov jump linear systems is used. The proposed mode-dependent input controller comprises two parts: the linear part and the nonlinear part, where the linear part determines the fundamental characteristics of the systems, and the nonlinear part eliminates the effect of the input quantization. The stability is analyzed in detail for both the discrete-time and continuous-time Markov jump linear systems with input quantization. The sufficient conditions and the specific mode-dependent input controller to guarantee the stability of the systems are obtained. Numerical examples are given to illustrate the effectiveness of the results.
引用
收藏
页码：2109 / 2126
页数：17
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