Switching Tracking Control for Planar Systems with Transient Performance Constraints

This paper studies the output tracking problem for a class of planar systems with some given transient performance constraints which are determined by the overshoot and the settling time. The problem of switched static output feedback tracking with output constraints (SSOFTOC) is proposed and solved for the first time. The static output feedback controllers and a so-called conic switching law are designed under which the output of the closed-loop switched system can track the step signal asymptotically without violating the transient performance constraints. Furthermore, an optimal weighted transient performance is obtained by solving a nonlinear programming problem. Finally, a numerical example and an application to aircraft turbofan engine are given to illustrate the effectiveness and the applicability of the proposed method.