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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 H1 control problem for a linear continuous-time system with multiple delays. By introducing a re-organized innovation sequence, the H1 control problem with delayed measurements is converted into a linear quadratic (LQ) problem and a delay-free H2 estimation problem in the Krein space. The controller is given in terms of two forward Riccati equations and a backward Riccati equation.Abstract: Based on an innovation analysis method in the Krein space, a sufficient and necessary condition is given for the existence of the solution of H1 control problem for a linear continuous-time system with multiple delays. By introducing a re-organized innovation sequence, the H1 control problem with delayed measurements is converted into a linear quadratic (LQ) problem and a delay-free H2 estimation problem in the Krein space. The controller is given in terms of two forward Riccati equations and a backward Riccati equation.
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