LIU Mei~(1,2) ZHANG Huan-Shui~2 DUAN Guang-Ren~1 ~1(Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin 150001)~2(Shenzhen Graduate School of Harbin Institute of Technology,HIT Campus Shenzhen University Town,Shenzhen 518055)
基金项目:
Supported by National Natural Science Foundation of P.R.China (60174017),National Outstanding Youth Science Foundation of P.R.China (69925308)
摘 要:
Based on an innovation analysis method in the Krein space,a sufficient and necessary condition is given for the existence of the solution of H_∞control problem for a linear continuous- time system with multiple delays.By introducing a re-organized innovation sequence,the H_∞control problem with delayed measurements is converted into a linear quadratic(LQ)problem and a delay- free H_2 estimation problem in the Krein space.The controller is given in terms of two forward Riccati equations and a backward Riccati equation.