Intervalwise receding horizon H∞ tracking controls for linear continuous time-varying systems

In this paper, a finite horizon H_∞ tracking control (HTC) for continuous time-varying systems is obtained in a state-feedback form. From the HTC, an intervalwise receding horizon H_∞ tracking control (IHTC) is obtained for continuous time-varying systems. It is shown that the proposed IHTC guarantees the closed-loop stability and an H_∞ norm bound for continuous time-varying systems. Conditions are proposed under which the IHTC with integral action provides zero offset for a constant reference signal and time-invariant systems. The performance of the IHTC is illustrated via simulation studies. The results in this paper are also applicable to periodic and time-invariant systems which belong to the class of time-varying systems.