NDLI: The normal matrix approach to the design of multivariable robust control systems

Content Provider	IEEE Xplore Digital Library
Author	Chi Wu Dailing Gao Lin Zhang
Copyright Year	1993
Description	Author affiliation: Dept. of Autom., Tsinghua Univ., Beijing, China (Chi Wu; Dailing Gao; Lin Zhang)
Abstract	It has been proved that the normality of the open-loop transfer function matrix is at least a sufficient condition for best robustness of a control system in the H/sub /spl infin// index sense. On the above basis this paper presents a new approach to the design of multivariable control system-the "optimization of parametrized normal matrix (OPNORM)" design method. The open-loop transfer function matrix of a system consists of two parts: a set of eigenfunctions and an eigenvector matrix. Each of them plays its specific role in the behaviour of the system. The unitarity of the eigenvector matrix guarantees the normality of the transfer function matrix, and hence guarantees the system robustness, while the eigenfunctions determine the system stability and dynamic performance. By systematically searching among unitary matrices and among stable eigenfunctions, a controller can be found which not only guarantees system stability and satisfactory dynamic performance, but also gives best system robustness in the sense of minimum H/sub /spl infin// norm index. The controller thus obtained is usually very much simpler than that designed by the H/sub /spl infin// approach. An example is given to illustrate the new design method.
Starting Page	203
Ending Page	208
File Size	310830
Page Count	6
File Format	PDF
ISBN	0780312333
DOI	10.1109/TENCON.1993.320468
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1993-10-19
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Robust control Open loop systems Transfer functions Automatic control Optimization methods Eigenvalues and eigenfunctions Design methodology Automation Frequency domain analysis Control systems
Content Type	Text
Resource Type	Article

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