On the Optimal Control Law for Linear Discrete Time Hybrid Systems
HSCC '02 Proceedings of the 5th International Workshop on Hybrid Systems: Computation and Control
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
Noncausal Optimal Tracking of Linear Switched Systems
HSCC '08 Proceedings of the 11th international workshop on Hybrid Systems: Computation and Control
On-line optimization of switched-mode hybrid dynamical systems
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
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Optimal switch-time control is an area that investigates how best to switch between different control modes. In this paper we present an algorithm for solving the optimal switch-time control problem for nonlinear systems where the state is only partially known through the outputs. A method is presented that both guarantees that the current switch-time estimates remain optimal as the state estimates evolve, and that ensures this in a computationally feasible manner, thus rendering the method applicable to real-time applications. The viability of the proposed method is illustrated through a number of examples.