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Disturbance attenuation problem using a differential game approach for feedback linear quadratic descriptor systems

Musthofa M. W.

Archives of Control Sciences

2015

Vol. 25, no. 4

445--462

This paper studies the H∞ disturbance attenuation problem for index one descriptor systems using the theory of differential games. To solve this disturbance attenuation problem the problem is converted into a reduced ordinary zero-sum game. Within a linear quadratic setting the problem is solved for feedback information structure.

Feedback saddle point equilibria for soft-constrained zero-sum linear quadratic descriptor differential game

Musthofa M. W., Salmah, Engwerda J. C., Suparwanto A

Archives of Control Sciences

2013

Vol. 23, no. 4

473--493

In this paper the feedback saddle point equilibria of soft-constrained zero-sum linear quadratic differential games for descriptor systems that have index one will be studied for a finite and infinite planning horizon. Both necessary and sufficient conditions for the existence of a feedback saddle point equilibrium are considered.