Robust nonovershooting tracking control for linear multivariable systems

Abstract

This paper presents a multivariable state feedback tracking control with integral sliding mode which can achieve the output tracking of a reference step signal without any overshoot by rejecting the disturbances. The control designed is able to completely reject the matched-bounded disturbances by using the integral sliding mode technique. The multivariable feedback controller is capable of achieving arbitrarily small rise time without any overshoot for square multivariable system under some mild assumptions. The proposed control is verified using a numerical example of quadruple-tank setup.