既含有一般多个随机延迟以及多个测量丢失和随机控制丢失的鲁棒<i>H</i><sub>∞</sub>模糊输出反馈控制

Zhang Bishan; Ma Zhongjun; Yang Meixiang

doi:10.16383/j.aas.2017.e150082

既含有一般多个随机延迟以及多个测量丢失和随机控制丢失的鲁棒H_∞模糊输出反馈控制

doi: 10.16383/j.aas.2017.e150082

桂林电子科技大学桂林 541004

基金项目:

the Outstanding Young Teachers Training in Higher Education Institutions of Guangxi gxqg022014025

the National Natural Science Foundation of China 11562006

the Natural Science Foundation of Guangxi Province 2015GXNSFAA139013

the National Natural Science Foundation of China 11661025

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出版历程
- 收稿日期: 2015-06-16
- 录用日期: 2016-08-02
- 刊出日期: 2017-09-20

Robust H_∞ Fuzzy Output-feedback Control With Both General Multiple Probabilistic Delays and Multiple Missing Measurements and Random Missing Control

School of Mathematics and Computing Science, Guilin University of Electric and Technology, Guilin 541004, China

Funds:

the Outstanding Young Teachers Training in Higher Education Institutions of Guangxi gxqg022014025

the National Natural Science Foundation of China 11562006

the Natural Science Foundation of Guangxi Province 2015GXNSFAA139013

the National Natural Science Foundation of China 11661025

More Information

Author Bio:
Zhongjun Ma received the M.S. degree from the Kunming University of Science and Technology, Kunming, China, in 2004, and the Ph.D. degree from Shanghai University, Shanghai, China, in 2007. He is currently a Professor with the School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China. His research interests include multiagent systems, nonlinear systems, and complex networks. E-mail: mzj1234402@163.com

Meixiang Yang received the M.S. degree from Guilin University of Electronic Technology, China, in 2006. She is currently a Lecturer at the School of Mathematic and Computing Science, Guilin University of Electronic Technology, Guilin, China. Her research interests include robust control, optimal control and their applications in motion control system. E-mail: meixiangyang2016@163.com

Corresponding author: Bishan Zhang received the M.S. degree from Chongqing University, China, in 2003. He is currently an Associate Professor with the School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China. His research interests include robust control, neural networks and their applications in motion control system. Corresponding author of this paper. E-mail: bshzhang30@sina.com

摘要

摘要: 这篇文章研究了一类不确定离散时间模糊系统的鲁棒H_∞控制问题，这类系统是既含有多个随机延迟、多测量丢失又含有从模糊控制器到发生器的随机控制信号丢失.描述随机通信延迟和随机控制信号丢失的随机变量认为是相互独立服从贝努利分布.测量丢失现象认为是随机发生的.假定对每个传感器发生丢失的概率位于区间[0，1]上是给定的.大量的注意力集中在设计H_∞模糊输出反馈控制器以确保所得到的闭环Tagagi-Segeno（T-S）系统按均方意义是指数稳定的.文章所用的方法能使扰动拒绝达到说给定的指标.通过大量的分析得出了满足指数稳定性以及预先给定的H_∞性能指标的容许输出反馈控制器的存在性的充分条件.另外，锥型补线性化过程用于将控制设计问题转化成能用半正定规划方法求解的序列极小化问题.最后，模拟结果证实了文中所提出的设计方法的可行性和有效性.
- 离散时间模糊系统 /
- 模糊控制 /
- 多个控制丢失 /
- 多个测量丢失 /
- 多个随机时间延迟 /
- 网络控制系统 /
- 鲁棒H_∞控制 /
- 随机系统
Abstract: In this paper, the robust H_∞-control problem is reported for a class of uncertain discrete-time fuzzy systems with both multiple probabilistic delays and multiple missing measurements and random missing control from the fuzzy controllers to the actuator. A sequence of random variables including accounting for the probabilistic communication delays and the random missing control are thought as mutually independent and obey the Bernoulli distribution. The measurement-missing phenomenon can be assumed to occur stochastically. Assumption that the missing probability for each sensor satisfies a certain probabilistic distribution in the interval [0 1] is given. Much attention is focused on design of H_∞ the fuzzy output feedback controllers to ensure that the resulting close-loop Takagi-Sugeno (T-S) system is exponentially stable in the mean square. The developed method makes disturbance rejection attenuation satisfy a given level by means of the H_∞-performance index. Intensive analysis is employed to reach the sufficient conditions about the existence of admissible output feedback controllers which satisfies the exponential stability as well as the prescribed H_∞ performance. In addition, the cone-complementarity linearization procedure is utilized to transform the controller-design problem into a sequential minimization one which can be solved by the semi-definite program method. Simulation results conform the feasibility as weil as the effectiveness of the proposed design method.
- Discrete-time fuzzy systems /
- fuzzy control /
- multiple missing control /
- multiple missing measurements /
- multiple probabilistic time delays /
- networked-control systems (NCSs) /
- robust H_∞ control /
- stochastic systems
Recommended by Associate Editor Jiming Chen
注释:

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Fig. 1 Framework of output feedback control systems over network environment.

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Fig. 2 State evolution $x(k)$ of uncontrolled systems.

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Fig. 3 State evolution $x(k)$ of controlled systems.

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Fig. 4 Output feedback controller $x_c(k)$.

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Fig. 5 Controlled output $z(k)$.

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Fig. 6 Output feedback controller $u(k)$.

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