DESIGN OF FINITE-TIME SETTLING REGULATORS FOR LINEAR-SYSTEMS

Earlier development of finite time settling controllers focused on the structure of the control law which consists of feedback and feedforwa rd parts. In this structure, the feedback part is designed separately to satisfy certain performance specifications in the frequency and/or the time domain. The feedforward part is determined from the feedback control law, and therefore, there exists one-way coupling of both part s. In this paper we propose a modification in the control structure th at enables the designer to regulate the bounds of the control input an d the state responses. We show that the finite time settling control p roblem can be transformed into a linear quadratic regulator one. This transformation results in a two-way coupling of the feedback and the f eedforward control laws. We verify that the robustness property of the control strategy is presented despite its structural change. In addit ion, we give guidelines for the selection of the feedforward control l aw.