| Summary: | 碩士 === 淡江大學 === 電機工程學系碩士班 === 98 === The Robust H∞ control is a masterpiece control theory in the past three decades. However, when applied to band-limit noise attenuation, it sometimes does not lead to satisfactory performance. The so called loop shaping method was derived to assist the design via introducing weighting functions. Nevertheless, selection of an appropriate weighting function is hard. Furthermore, it increases the order of controllers, and thus increases the hardware implementation complexity. Therefore, this thesis gives new method which improves the H∞ loop shaping method in the controller order aspect. In addition, we provide a direct method to this sort of problems.
This thesis investigates the problems of filter and controller syntheses in finite frequency domain for uncertain discrete-time systems. We derive LMI conditions for the problems in both single-band and multi-band cases. The proposed methods offer flexibility in several aspects. For examples, the order of the filters and controllers can be assigned a priori; the type of filters can be either infinite impulse response (IIR) or finite impulse response (FIR). This thesis studies the single-input single-output (SISO) robust filter design in both single band and multiple bands in details. Then the results are extended to multi-input multi-output (MIMO) case and the case of robust controller design.
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