DISCRETE VARIABLE STRUCTURE CONTROL OF LINEAR TIME-INVARIANT SYSTEMS WITH TIME DELAY

IntroductionIn recentyears,many methods have been pro-posed for the design of time- delay control sys-tems1,2 ] and criteria for the stability of time- delaysystems have been developed by many re-searchers3 ,4] .Time delay in the control systemscan be divided into two classes on the whole.Oneis in measurement of system variables and calcula-tion for required control force,including physicalproperties of equipmentused in the systems or sig-nal transmission.The other is in control for actua-to…

DISCRETE VARIABLE STRUCTURE CONTROL OF LINEAR TIME-INVARIANT SYSTEMS WITH TIME DELAY

A discrete variable structure control(DVSC) method for the linear time invariant systems with time delay was presented. The continuous time delay systems are first transformed into the standard discrete form which contains no time delay by augmenting the state variables. Then the switching surface is determined by using the ideal quasi sliding mode. As it is difficult for the state trajectory to reach the switching surface exactly, the reaching condition in the form of approach law is used to design the controller. The deduced switching surface and controller contain not only the current step of state feedback but also some former steps of controls. Stability analysis with and without time delay information is also investigated in this paper. Numerical simulation was carried out to demonstrate the effectiveness and feasibility of the presented control method.