期刊
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
卷 43, 期 6, 页码 1923-1952出版社
SIAM PUBLICATIONS
DOI: 10.1137/S0363012900383090
关键词
optimal control; hybrid systems; bisimulation
We consider the synthesis of optimal controls for continuous feedback systems by recasting the problem to a hybrid optimal control problem: synthesize optimal enabling conditions for switching between locations in which the control is constant. An algorithmic solution is obtained by translating the hybrid automaton to a finite automaton using a bisimulation and formulating a dynamic programming problem with extra conditions to ensure non-Zenoness of trajectories. We show that the discrete value function converges to the viscosity solution of the Hamilton-Jacobi-Bellman equation as a discretization parameter tends to zero.
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