Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
Sampled-Data H2 Control for Symmetric Systems
Hisaya FUJIOKAAkio TADERA
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1997 Volume 10 Issue 1 Pages 33-40

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Abstract

This paper considers digital control problems for continuous-time systems having symmetric transfer functions. It is supposed that digital controllers are implemented with zero-order hold, discrete-time controller, and ideal or integral sampler. The following results are obtained : (1) stabilization : transfer functions of discretized systems with both types of samplers keep symmetries of original continuous-time transfer functions. A condition for discrete-time stabilizing controllers to be symmetric is obtained. (2) discrete-time H2 control synthesis : discrete-time H2 optimal controllers for symmetric discrete-time generalized plants are symmetric. (3) sampled-data H2 control synthesis : for symmetric continuous-time generalized plants with integral samplers, sampled-data H2 optimal controllers are symmetric, while symmetries can not be utilized with ideal samplers.

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