QUADRATIC GUARANTEED COST CONTROL WITH ROBUST POLE-PLACEMENT IN A DISK

The paper is concerned with the design of robust state feedback contro llers for a class of uncertain systems with norm bounded uncertainty, where uncertainty enters in both the state and input matrices. The con troller is designed to place the closed loop poles of the uncertain sy stem in a specified disk and guarantees an upper bound on a quadratic cost function. A procedure is given for the construction of a controll er which minimises a bound on an integral quadratic performance index.