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Observer-based finite-region dissipative control of 2D FM systems

机译:基于观察者的2D FM系统有限区域耗散控制

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摘要

This paper is concerned with the problem of finite-region dissipative observer-based control for a class of discrete-time two-dimensional (2D) systems formulated by the Fornasini-Marchesini (FM) model subject to missing measurements. Firstly, the concepts of finite-region boundedness (FRB) and finite-region (T, S, R)-?-dissipativity for 2D systems are introduced, respectively. Secondly, the FRB and finite-region (T, S, R)-?-dissipativity are investigated for the resulting closed-loop systems, and then the corresponding conditions are derived. Based on the obtained results, the observer-based output feedback controller is designed, and the example of metal rolling process is employed to illustrate the effectiveness of the proposed design method.
机译:本文涉及由Fornasini-Marchesini(FM)模型制定的一类离散时间二维(2D)系统的有限区域耗散观察者控制的问题,但缺少测量。 首先,介绍了有限区域界限(FRB)和有限区域(T,S,R) - α - 2D系统的缺陷的概念。 其次,对所得闭环系统研究FRB和有限区域(T,S,R) - 耗散性,然后导出相应的条件。 基于所获得的结果,设计了基于观察者的输出反馈控制器,采用了金属轧制工艺的示例来说明所提出的设计方法的有效性。

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