We consider the use of linear state feedback control to achieve a non-overshooting step response, for right-invertible non-square multivariable systems. A method is given for designing a linear time-invariant state-feedback controller to asymptotically track a constant step reference with zero overshoot and arbitrarily small rise time, under some mild assumptions.
['Robert Schmid', 'Lorenzo Ntogramatzidis']
On the design of non-overshooting linear tracking controllers for right-invertible systems