Switching tracking control for linear time-invariant systems without overshoot: a positive systems method

摘要

In this study, the authors study the issue of how to design controllers to asymptotically track a constant signal without overshoot for linear time-invariant systems. Using the theory of positive systems, they obtain the non-negative invariant set of the output for the autonomous systems. Then, a linear state feedback controller is designed to ensure the non-overshooting tracking when the initial state is in some region. Furthermore, for a single-input single-output system, the problem of global non-overshooting tracking control is solved by a switching control law. For multi-input multi-output systems, they also obtain the non-overshooting response under some assumptions. A numerical example is given to illustrate the effectiveness of the proposed theory.