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Paper details
Number 3 - September 2000
Volume 10 - 2000
Linear quadratic control problem with fixed final state for discrete-time distributed systems
Lotfi Chraïbi, Jamila Karrakchou, Abdelatif Ouansafi, Mostafa Rachik
Abstract
The problem considered is that of minimizing a quadratic cost functional for a discrete distributed system with fixed initial and final states. It is shown that under suitable controllability assumptions, there is a close relationship between this problem and that of exact controllability with minimization of a time-varying energy criterion. The HUM technique is then extended to treat the exact controllability problem in the time-varying case and applied to provide an explicit form for the optimal control and the optimal cost.
Keywords
exact controllability, feedback law, open loop, optimal control, quadratic control