Robust disturbance attenuation of uncertain discrete time systems with sector constraint

This paper presents a solution of an absolute stabilization problem with disturbance attenuation performance. A multivariable discrete time system with the sector constraint is considered and a sufficient condition is given such that the closed loop system is absolutely stable and satisfies an L/sub 2/-gain constraint. Using the condition, a solution of the design problem of the closed loop system with robust disturbance attenuation is given.