Abstract:

The problem of robust L2-L∞ control with disc regional pole constraint was investigated for a class of δ operator formulated linear time-delay uncertain systems. Based on the  matrix theory, a sufficient condition for the poles of a  δ  operator formulated linear time-delay system, being inside a disc region, was presented in the form of linear matrix inequality (LMI). For a class of  δ  operator time-delay uncertain systems with disturbances, a design method of the optimal robust L2-L∞ controller was obtained by the Lyapunov approach, which could place the poles of the closedloop system in a prespecified disc and ensure the L2-L∞ performance to be optimal, . A numerical example was provided to illustrate the feasibility and effectiveness of the design method.

Key words: &delta, operator, time-delay system, regional pole constraint, L2-L&infin, control, linear matrix inequality