Methods of suboptimal control for linear regulators using output feedback
Cowdrill, David Thomas
Kirk, Donald E.
Titus, Harold A.
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Methods are discussed for optimal and suboptimal control of linear regulator systems employing controllers which use only accessible states and which can be easily realized. The conditions required for stability of such systems are shown and an algorithm is introduced for determining the elements of a stabilizing constant-gain matrix. This matrix provides an initial point for a technique which suboptimizes the performance of systems with infinite-time performance measures. The concept of partial canonic state feedback is introduced in which a Luenberger observer obtains missing canonic state information which is combined with the plant output to for a feedback vector. Also given is an extension of an existing algorithm for determining piecewise-constant gains to include switching times as variable parameters. Examples are given to numerically illustrate the concepts and results.
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