Discrete-time chattering-free integral sliding mode control of continuous-time descriptor systems

This paper considers a hybrid approach to control of linear dynamic and impulse controllable continuous-time disturbed linear descriptor systems. The first step in control is a design of continuous state feedback that makes system impulse-free. The obtained system is represented as a state space system of relative order zero. Based on this model, a full order discrete-time sliding mode control providing given pole placement is designed. The reaching control is completely decentralized and chattering-free. Simulations show a very good suppression of slow disturbances. All design steps and simulations require only standard MATLAB Toolbox.