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Receding horizon LQG controller using optimal FIR filter with control input

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3 Author(s)
Oh-Kyu Kwon ; Dept. of Electr. Eng., Inha Univ., Inchon, South Korea ; Kwon, W.H. ; Kim, M.J.

Two topics are investigated. First, the optimal FIR filter is presented for continuous time-varying state-space models with control input and its properties are analyzed. It is shown here that the FIR filter is stable with respect to the estimation error and that the filter reduces to a deadbeat observer in the case of noise-free systems. Second, using the optimal FIR filter as state estimator, a receding horizon LQG controller is also proposed to stabilize stochastic linear time-varying systems. It is shown that the control law developed guarantees the closed-loop stability under assumptions of the uniform complete controllability and observability

Published in:

Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on

Date of Conference:

15-17 Dec 1993

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