Multi-objective fuzzy control of high rise/high speed elevators using LMIs

This paper presents an LMI (linear matrix inequality) based fuzzy control approach to a high rise/high speed elevator. Motion control of the high rise/high speed elevators is a typical multiobjective control problem. To effectively solve the multiobjective control problem, LMIs that represent control performance such as decay rate, constraints on control input and output, robust stability, disturbance rejection, minimization of quadratic performance index and their mixed control problem are obtained. Convex optimization techniques based on LMIs are utilized to obtain feedback gains satisfying the above control performance. Finally, simulation results show the utility of the LMI based design procedure and realization of the multi-objective control