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一类不确定离散切换模糊时滞系统的鲁棒输出反馈控制

Robust Output-Feedback Control for a Class of Uncertain Discrete Switched Fuzzy Systems with Time-Delay

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【作者】 刘毅冯佳昕赵军

【Author】 LIU Yi1,FENG Jia-xin2,ZHAO Jun1(1.Key Laboratory of Integrated Automation of Process Industry,Ministry of Education,Northeastern University,Shenyang 110004,China;2 School of Information Management and Engineering,Shanghai University of Finance & Economics,Shanghai 200433,China.)

【机构】 东北大学流程工业综合自动化教育部重点实验室上海财经大学信息管理与工程学院

【摘要】 针对状态不可观测的情况,重构系统状态,提出了一类不确定离散切换模糊时滞系统的鲁棒镇定问题.考虑每个切换子系统都是模糊系统的切换系统模型,利用切换技术,对于系统状态采用多Lyapunov函数方法,对于观测器误差采用共同Lyapunov函数方法,给出了切换律设计.利用平行分布补偿算法(PDC),给出了基于观测器的切换模糊反馈控制器设计,使得闭环系统对所有允许的不确定性,在所设计的反馈控制器和切换律下具有鲁棒性.最后通过数值仿真例子验证了该设计方法的有效性和可行性.

【Abstract】 Investigates the problems of robust output-feedback control for a class of uncertain discrete switched fuzzy systems with time-delay.A state observer is constructed when the states are immeasurable.Supposing that each and every subsystem of the switched system is fuzzy system,the multiple Lyapunov functions method is adopted for the system state with the common Lyapunov function method used for the observer error to design the switched control law.And the PDC(parallel distributed compensation) algorithm is used to design the fuzzy output-feedback controllers,thus enabling a closed-loop system to provide robustness for all admissible uncertainties in the feedback controller designed and in accordance to the switched control law designed as above.A simulation example shows the feasibility and effectiveness of the design method.

【基金】 国家自然科学基金资助项目(60874024;60574013)
  • 【文献出处】 东北大学学报(自然科学版) ,Journal of Northeastern University(Natural Science) , 编辑部邮箱 ,2009年01期
  • 【分类号】TP273.4
  • 【被引频次】17
  • 【下载频次】322
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