A linear programming approach to controller design
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abstract
Methods are proposed to deal with the problem of designing a feedback controller of fixed dynamic order for a linear time-invariant plant and for a family of plants containing parameter uncertainty so that robust stability is attained. The desired closed-loop specifications are given in terms of a target characteristic polynomial corresponding to a prescribed root set or target closed-loop transfer function corresponding to a prescribed performance measured in the Hnorm. A computationally-simple linear programming method can be used to meet the desired closed-loop specifications. The methods proposed combine theoretical results from robust parametric control theory with the computational efficiency and convenience of linear programming methods.
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Proceedings of the 36th IEEE Conference on Decision and Control