Stability of TSK-type time-delay FLC

Abstract

A stable TSK-type FLC can be designed by the method of Parallel Distributed Compensation (PDC) [2], but in this case, solving the LMI problem is not a trivial task. To overcome such a difficulty, a Time-Delay based FLC (TDFLC) is proposed. TSK-type TDFLC consists of Time-Delay Control (TDC) and Sliding Mode Control (SMC) schemes, which result in a sliding mode controller based upon an approximate convergence of a sliding surface value. In particular, in order to handle a model uncertainty and a large time-delay error caused by TDC scheme more efficiently, a robust TSK-type TDFLC is proposed. Finally, simulation study is conducted for a mass-spring-damper system.