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Output-Based Optimal Control of Impulsive Switched Systems

LIU Xiao-mei  LI Sheng-tao  
【摘要】:In this paper, we solve an optimal control problem for a class of impulsive switched autonomous systems. The considered system undergoes jumps at the switching times and the state is only partially known through the outputs. The control variables consist of the impulse times and a set of scalars which determine the jump amplitudes. A method is presented that both guarantees that the current control variables remain optimal as the state estimates evolve, and can be applied to real-time applications. The optimal impulsive control strategy can be found using a numerical gradient descent algorithm. Finally, a numerical example is presented to illustrate the effectiveness.

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