Study of minimum entropy H- infinity controller for descriptor systems

Abstract

This paper extends the results of minimum entropy urn:x-wiley:asjc:media:asjc2452:asjc2452-math-0004 control from the state-space system to the descriptor system. We first give an explicit definition for entropy of descriptor systems, and then derive a formula for calculating the entropy. Next, we find the parameterization of all urn:x-wiley:asjc:media:asjc2452:asjc2452-math-0005 controllers for descriptor systems. Among these urn:x-wiley:asjc:media:asjc2452:asjc2452-math-0006 controllers, we find the one resulting in the minimum entropy. Finally, a numerical example is provided to illustrate the obtained results.