Discrete Time Sliding Mode Control for Smart Structures

Abstract

Various types of control strategies for the SISO and MIMO state space representations of the smart structure using the Multirate Output Feedback (MROF) based Discrete Sliding Mode Control (DSMC) techniques is presented in the fifth Chapter of this monograph. The main aim of developing these control strategies is to control and damp out the flexural or transverse vibrations of flexible beam when they are subjected to an external disturbance. Two different methods of discrete time sliding mode control strategies have been used in this application. The first one uses a switching function in the control and results in quasi sliding mode motion, the other one does not use the switching in the control function and hence eliminates chattering. These two methods do not need the measurement of the system states for feedback as they makes use of only the output samples for designing the controller. The methodology adopted is more practical and may be easy to implement in real time applications.