解耦控制系統的理論及設計

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Decoupling Control System – Theory and Design



NSC 87-2213-E-009-144

          

Emailcalin@cc.nctu.edu.tw

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This research investigates decoupling control problem for linear multivariable systems. We generalize some results in decoupling control to the case of block decoupling control. For unity feedback multivariable systems, we establishes necessary and sufficient conditions for the existence of block decoupling contollers. We propose two methods for the design of block decoupling controllers. We give parameterizations of all block decoupling stabilizing controllers based on a special coprime factorization of the plant. Another way to design a block decoupling controller is

to first block-decouple the plant by an open-loop precompensator and then designing feedback controllers for each block channel.

Keywords: block decoupling control, multivariable system, precompensator.

  
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[1] C. A. Lin, “Necessary and Sufficient Conditions for Existence of Decoupling Controllers,” IEEE Trans. Automat. Contr., vol. 42, pp. 1157-1161, 1997. [2] C. A. Lin and C. M. Wu,

“Block-Decoupling Linear Multivariable Systems: Necessary and Sufficient Conditions,” Automatica, vol. 34, pp. 237-243, 1998.

[3] C. A. Lin and C. M. Wu, “Block Decoupling Control of Linear Multivariable Systems,” 1999sv

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[4] A. Linnemann and Q. G. Wang. “Block Decoupling with Stability by Unity Output Feedback-Solution and Performance Limitations,” Automatica, vol. 29, pp. 735-744, 1993.

[5] A. I. G. Vardulakis, “Internal Stabilization and Decoupling in Linear Multivariable Systems by Unit Output Feedback Compensation,” IEEE Trans. Automat. Contr., vol. 32, pp.

735-739, 1987. P - Ìe$&'eS(P,C)e C P_F - A Ìe$&'eS(P_F,A)e