This paper considers receding horizon
H∞ control problems using output feedback controllers for generalized linear time varying systems in which orthogonal conditions are not assumed. First, we propose two terminal inequality conditions, which can include the inequality conditions derived in previous results as a special case, for each two riccati differential equations which are needed on output feedback receding horizon
H∞ control problems. The proposed two terminal inequality conditions are important to guarantee stability of the closed loop system. Next, using the proposed terminal inequality conditions, a receding horizon
H∞ controller is proposed. It can be shown that the closed loop system is exponentially stable and
L2 gain of the closed loop system is bounded. Finally, a numerical example illustrates an efficiency of the proposed technique.
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