Guaranteed Cost Control of Uncertain Neutral Systems

Abstract

An alternative method is proposed to construct a guaranteed cost control law for neutral delay-differential systems with uncertain parameters. The feature of this method is that it is fit for the state space not W¹₂ but M₂, in the points : i) the form of the feedback law, ii) the form of the cost functional, and iii) the form of Liapunov function. A sufficient condition to obtain the feedback law is given, and its necessary and sufficient condition is introduced with linear matrix inequalities (LMIs). The feedback gain can be calculated with a solution of the LMIs. Furthermore, the upper bound of the cost functional can be minimized by a convex optimization. A numerical example is given to demonstrate the design procedure.