Lower-Order Controllers

There is a dilemma concerning design of control systems. Due to increasing demands on quality and productivity of industrial systems and with deeper understanding of these systems, mathematical models derived to represent the system dynamics are more complete, usually of multi-input-multi-output form, and are of high orders. Consequently, the controllers designed are complex. The order of such controllers designed using, for instance, the \(\mathcal{H}_{\infty}\) optimization approach or the μ-method, is higher than, or at least similar to, that of the plant. On the other hand, in the implementation of controllers, high-order controllers will lead to high cost, difficult commissioning, poor reliability and potential problems in maintenance. Lower-order controllers are always welcomed by practicing control engineers. Hence, how to obtain a low-order controller for a high-order plant is an important and interesting task, and is the subject of the present chapter.

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