Abstract
SummaryThis paper introduces a new methodology for the design of fixed‐order multi‐objective output feedback controllers. The problem comprises a set of linear matrix inequalities and an additional rank constraint. The primary idea is to classify convex subsets of the set of rank constrained matrices in such formulations, based on which two noniterative and relatively fast methods are developed. The proposed methods require solving a convex optimization problem at each step and can be applied with any weighted summation of design objectives such as performance, performance, passivity, and regional pole assignment. Several benchmark systems with performance criteria including H∞, mixed H2/H∞, and pole placement are used to demonstrate a marked improvement in comparison to the existing methods.
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