Time delay correlation H-infinity control method for linear singular system with uncertain time delay
A singular system and control method technology, applied in the field of time-delay dependent H∞ control
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[0058] The specific embodiments of the present invention will be further described below in conjunction with the accompanying drawings.
[0059] The present invention divides the system state into two parts: the slow subsystem state x 1 and fast subsystem state x 2 , give the state space description of the linear time-delay singular system; select the Lyapunov-Krasovskii function, use the method of combining the improved free weight and the Lyapunov-Krasovskii function, derive and prove that the system is internally stable, and has a given H∞ disturbance suppression Bounded Real Lemma and LMI Inequality of Level γ; Design of Memoryless Controller u(t)=Kx Based on Slow Substate Feedback 1 (t), so that the closed-loop system is stable, and has a given disturbance suppression level γ under the zero initial condition, deduces the relevant theorems and gives the stability conditions of the system; performs contract transformation on the matrix inequality in the theorem, for The n...
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