| 二维系统一般模型的正实控制 |
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| 引用本文： | 戴江涛,郭照庄,程广涛. 二维系统一般模型的正实控制[J]. 北华航天工业学院学报, 2012, 22(6): 13-18 |
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| 作者姓名： | 戴江涛 郭照庄 程广涛 |
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| 作者单位： | 北华航天工业学院基础科学部,河北廊坊,065000 |
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| 基金项目： | 北华航天工业学院科研课题（KY-2011-15） |
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| 摘 要： | 本文研究的是二维系统一般模型的正实控制。本文的目的是针对该模型,设计一个状态反馈控制器,使得闭环系统是稳定的并且闭环传递函数是延展严格正实的,所得到的解是通过线性矩阵不等式给出,通过解决该线性矩阵不等式可获得期待的状态反馈控制器。最后,我们提供了一个数值算例来验证提到方法的有效性。
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| 关 键 词： | 二维离散系统 一般模型 线性矩阵不等式,正实控制 |
Positive Real Control for 2-D Discrete Systems Described by the General Model |
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| DAI Jiang-tao,GUO Zhao-zhuang,CHENG Guang-tao. Positive Real Control for 2-D Discrete Systems Described by the General Model[J]. Journal of North China Institute of Aerospace Engineering, 2012, 22(6): 13-18 |
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| Authors: | DAI Jiang-tao GUO Zhao-zhuang CHENG Guang-tao |
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| Affiliation: | (Fundamental Science Department,North China Institute of Aerospace Engineering,Langfang 065000,China) |
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| Abstract: | This paper deals with the problem of positive real control for uncertain 2-D discrete systems in the General Model.The parameter uncertainty is assumed to be norm-bounded.The purpose is the design of state feedback controllers such that the closed-loop system is stable and the closed-loop transfer function is extended strictly positive real.In terms of a linear matrix inequality,a condition for the solvability of the problem is obtained,and a desired state feedback controller is given.Finally,we provide a numerical example to demonstrate the applicability of the proposed approach. |
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| Keywords: | 2-D systems the general model linear matrix inequality（LMI） positive real control |
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