DESIGN OF OPTIMAL MIMO DIVSC SYSTEMS AND ITS APPLICATION TO IDLE SPEED CONTROL OF SPARK-IGNITION ENGINE

An optimal multi-input multi-output (MIMO) discrete integral variable structure control (DIVSC) rule is proposed in this paper. This approac h can achieve accurate and robust dynamic responses. The modified exis tence conditions are introduced to assure the existence of the discret e non-ideal sliding motion. The design procedures are clearly develope d in this paper. Use optimal Le method to decide the coefficients of t he sliding surfaces and integral gains. On the basis of the nonideal s liding motions, the control functions can be found out to satisfy the modified existence conditions. The idea of boundary layer is used to s moothing the control functions. Furthermore, take the engine idle spee d control as art example. Simulation results will demonstrate the pote ntial of the proposed approach.