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On suboptimal control design for hybrid automata using predictive control techniques

Pang, Y. and Spathopoulos, M.P. (2005) On suboptimal control design for hybrid automata using predictive control techniques. In: Proceedings of the the 16th IFAC World Congress. Elsevier. ISBN 0-08-045108-X

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In this paper we propose an on-line design technique for the target control problem, when the system is modelled by hybrid automata. First, we compute off-line the shortest path, which has the minimum discrete cost, from an initial state to the given target set. Next, we derive a controller which successfully drives the system from the initial state to the target set while minimizing a cost function. The model predictive control (MPC) technique is used when the current state is not within a guard set, otherwise the mixed-integer predictive control (MIPC) technique is employed. An on-line, semi-explicit control algorithm is derived by combining the two techniques. Finally, as an application of the proposed control procedure, the high-speed and energy-saving control problem of the CPU processing isconsidered.