Robust Design of Multimodel Feedback Systems

Abstract

In this chapter a design procedure for multimodel multivariable control systems is described where one constant controller for all members of the multimodel-family is designed. The objective of this procedure is to adapt the closed-loop behaviour of the different models of the multimodel-family to an required behaviour. Here the required behaviour is described by a pole-configuration of the closed-loop system. One can get this desired pole-configuration for instance by a single controller-design for each variation-case of the multi-modelfamily. If this controller fulfils the given static and dynamic requirements, then the belonging closed-loop poles are used as desired pole-configuration. Normally the controllers in the different variation cases are different.The design-procedure described in the sequel determines one constant controller for all variation cases, so that the desired closed-loop pole configurations are attained as good as possible. Therefore a pole-distance is introduced. Using this pole-distance it is possible to describe the controller-design as an extrem-valuesearch. In the design the different inputs of the plant may be determined by using the controllability coefficients that give us a hint of small input variables, further information see Lange [6].