p. 42
This paper concerns the output feedback synthesis problem of the receding horizon H∞ control. First, we consider terminal inequality conditions, which play an important role to guarantee exponential stability of the closed loop system, and proposed a extended terminal inequality condition. Next, we discuss the receding horizon H∞ control using the extended terminal inequality conditions and derive that exponential stability of the closed loop system can be guaranteed. Further, it is shown that the stabilizing receding horizon H∞ control considered in this paper guarantees the induced norm bound condition. Finally, a example illustrates an application of the proposed technique.