Time delay correlation H-infinity control method for linear singular system with uncertain time delay

The invention aims to provide a time delay correlation H-infinity control method for a linear singular system with uncertain time delay. The method comprises the following steps: giving a state spacedescription of the linear singular system with the uncertain time delay; selecting a Lyapunov-Krasovskii function, and deriving and proving a bounded real lemma and an LMI inequality which enable thesystem to be stable and have a given H-infinity disturbance suppression level gamma by utilizing a method of combining an improved free weight and the Lyapunov-Krasovskii function; designing a non-memory controller u(t) = Kx1 (t) based on slow sub-state feedback, and giving a matrix inequality condition which enables a closed-loop system to be stable and contains nonlinearity; performing contracttransformation on the matrix inequality condition; defining new extra matrix variables and matrix inverse limiting conditions for nonlinear terms in a matrix inequality, and using a cone compensationlinearization iteration meth