Abstract
The design of multivariable systems can be approached with many different design objectives. An appealing approach from a mathematical point of view is to describe the dynamics of plant and compensator in state-spaco form, transform the resulting augmented system into a problem involving a system performance index such as pole assignment, and apply optimization techniques to choose compensator parameters. This paper develops a methodology whereby exact or partial pole assignment under variations of plant characteristics is incorporated into the system performance index. Through calculations of the gradients of the performance index with respect to compensator parameters, one is able to apply derivative optimization methods to the design problem. Examples are provided to illustrate the design methodology.
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