On the Stabilizability of Plants with Variable Operating Conditions

Abstract

There are a number of plants whose dynamics change according to their operating conditions. For such plants, gain scheduling techniques are suggested. In this paper, the stabilization problem of plants with variable operating conditions is considered. The plant is supposed to be described as one-parameter family of plants over RH^∞. The controller is assumed to be designed in the same form as the plant description. From a complex function theoretic point of view, a necessary and sufficient condition for the closed-loop system to be stable is derived.