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Controllers are designed to make certain physical variables of a system behave in a desired way by manipulating some input variables. Simple loworder controllers are usually preferred to better performing but highorder controllers, because of their simplicity and practicality. In this book, the problem of parameterizing stabilizing fixed loworder controllers for linear timeinvariant singleinput singleoutput systems is studied. Using a generalization of the HermiteBiehler theorem, an algorithm is given for the determination of stabilizing gains for linear timeinvariant systems. By applying this stabilization algorithm to three subsidiary plants, the set of all stabilizing firstorder controllers of any given plant are determined. The method given is applicable to both continuous and discrete time systems and can accommodate various further realistic design constraints. This book can be used to complement and enrich the contents of any graduate course on feedback control systems. The fixed order controller algorithms provided will be of interest to every control system engineer and theorist.
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