Suboptimal State Feedback H2/H∞ Controller Design with Spectrum Constraint for Discrete-time Stochastic Systems

摘要

With the aid of the spectrum technique,a new concept named α-stabilizability(0≤α≤1)is introduced and its sufficient and necessary conditions are also proposed.Especially,it is identical with the asymptotically mean square stabilizability when α=1.As an application,the suboptimal state feedback H2/H∞ controller that satisfies the additional spectrum constraint via solving a convex optimization problem is delt with.