| Summary: | 碩士 === 淡江大學 === 電機工程學系碩士班 === 104 === This paper is concerned with the H-infinity dynamic output-feedback stabilization of discrete-time positive linear time-invariant systems. It is first shown that for a class of positive systems whose output matrix has a particular form, necessary and sufficient condition is derived in terms of a set of linear matrix inequality (LMI) and linear inequalities, even if the output feedback controllers are of reduced-order and/or have structural constraints. Analogously, for the more general case, sufficient conditions of similar form are also derived and a two-stage algorithm is developed. Further extension to the synthesis problem in a different state space is also made by similar arguments. Finally, simulation is conducted that establishes the effectiveness of the proposed methods.
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