Controller synthesis for implicitly defined uncertain systems

This paper builds on the previous work by the authors of providing a general framework for modeling and analysis of uncertain systems. This work centers on the use of implicit equations to characterize uncertain systems, in a manner consistent with the behavioral framework. We propose a method for synthesizing controllers for implicitly defined uncertain systems, which reduces to the so called D-K iteration procedure when the system can be written in explicit form. One immediate consequence of this work is a practical method for synthesizing controllers in the presence of norm bounded perturbations and both norm-bounded and white-noise disturbances, which encompasses the so called robust ℋ₂ synthesis problem