论文部分内容阅读
The mixed L1/H-infinity control problem for a class of uncertain linear singular systems is considered using a matrix inequality approach.The purpose is to design a state feedback control law such that the resultant closed-loop system is regular,impulse-free,stable and satisfies some given mixed L1/H-infinity performance.A sufficient condition for the existence of such control law is given in terms of a set of matrix inequalities by the introduction of inescapable set and *-norm.When these matrix inequalities are feasible,an explicit expression of the desired state feedback control law is given.A numerical example is used to demonstrate the applicability of the proposed approach.
The mixed L1 / H-infinity control problem for a class of uncertain linear singular systems is considered using a matrix inequality approach. The purpose is to design a state feedback control law such that the resultant closed-loop system is regular, impulse-free, stable and tenders given L1 / H-infinity performance. A sufficient condition for the existence of such control law is given in terms of a set of matrix inequalities by the introduction of inescapable set and * -norm. These matrix inequalities are feasible , an explicit expression of the desired state feedback control law is given. A numerical example is used to demonstrate the applicability of the proposed approach.