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多输入多输出Hammerstein和Wiener系统的适应调节

冯文辉,陈翰馥,赵文虓   

  1. 中国科学院数学与系统科学研究院系统控制重点实验室,北京 100190
  • 出版日期:2016-07-25 发布日期:2016-07-21

冯文辉,陈翰馥,赵文虓. 多输入多输出Hammerstein和Wiener系统的适应调节[J]. 系统科学与数学, 2016, 36(7): 893-907.

FENG Wenhui,CHEN Hanfu, ZHAO Wenxiao. ADAPTIVE REGULATOR FOR MIMO HAMMERSTEIN AND WIENER SYSTEMS[J]. Journal of Systems Science and Mathematical Sciences, 2016, 36(7): 893-907.

ADAPTIVE REGULATOR FOR MIMO HAMMERSTEIN AND WIENER SYSTEMS

FENG Wenhui ,CHEN Hanfu, ZHAO Wenxiao   

  1. Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190
  • Online:2016-07-25 Published:2016-07-21

研究多输入多输出Hammerstein系统和Wiener系统的适应调节,系统输入维数不超过输出维数,并且量测带有加性噪声.首先证明了最优调节控制的存在性,接着构造了基于扩展截尾随机逼近(SAAWET) 算法的适应调节控制,并证明了调节误差在一定条件下达到最小,最后通过数值仿真验证了理论结果.

In the paper we consider the adaptive regulation control of multi-input multi-output (MIMO) Hammerstein and Wiener systems, for which the input dimension is no higher than the output dimension and the observation is corrupted by additive noise. Existence of the optimal regulation controls for the systems is proved, and the adaptive regulation control is designed on the basis of the stochastic approximation algorithm with expanding truncations (SAAWET). It is shown that the regulation error is minimized in a certain sense. The numerical simulation given in the paper justifies the theoretical assertions.

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