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Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Related citation:Wenqiang Ji,Jianbin Qiu.Output Feedback Control of Discrete-Time T-S Fuzzy Affine Systems Using Quantized Measurements[J].Journal of Harbin Institute Of Technology(New Series),2018,25(3):43-54.DOI:10.11916/j.issn.1005-9113.17032.
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Output Feedback Control of Discrete-Time T-S Fuzzy Affine Systems Using Quantized Measurements
Author NameAffiliation
Wenqiang Ji Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China 
Jianbin Qiu Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China 
Abstract:
This paper investigates the problem of robust Hfixed-order dynamic output feedback (DOF) controller design for a class of Takagi-Sugeno (T-S) fuzzy affine systems using quantized measurements. Through a state-input augmentation method, some sufficient conditions for controller synthesis are developed based upon piecewise quadratic Lyapunov functions (PQLFs) in terms of LMIs. Two illustrative studies are conducted to verify the effectiveness of the proposed controller synthesis approach.
Key words:  fuzzy affine models  robustness  dynamic output feedback  measurement quantization
DOI:10.11916/j.issn.1005-9113.17032
Clc Number:TP13
Fund:
Descriptions in Chinese:
  

离散时间T-S模糊仿射系统的量化输出反馈控制

纪文强,邱剑彬

(哈尔滨工业大学 智能控制与系统研究所,哈尔滨 150001)

创新点说明:

本文研究了一类离散时间T-S模糊仿射系统的鲁棒H无穷量化输出反馈控制问题。通过采用状态—输入增广方法以及一些凸优化技术和S-过程,给出了基于分段李雅普诺夫函数和线性矩阵不等式的控制器设计充分条件。通过两个仿真案例验证了控制器设计方法的可行性和有效性。

研究目的:

在网络环境下,考虑量化测量信号,针对一类可以用T-S模糊模型描述的非线性系统,设计一类固定阶动态输出反馈控制器。

研究方法:

采用状态—输入增广的方法,将分段仿射控制器的增益与系统矩阵解耦,从而可以针对输入矩阵和输出矩阵同时含有参数不确定性的T-S模糊仿射系统,设计固定阶输出反馈控制器。

结果:

基于分段李雅普诺夫函数,降低了控制器设计的保守性。

结论:

本文设计的基于分段李雅普诺夫函数的固定阶动态输出反馈控制器能够镇定一类可由T-S模糊模型描述的非线性系统。通过仿真实例验证了控制器设计方法的可行性。

关键词:模糊仿射模型;鲁棒控制;输出反馈;量化

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