This paper presents a systematic approach to solve for the optimal control of a variable-time impulsive system. First, optimality condition for a variable-time impulsive system is derived using the calculus of variations method. Next, a single network adaptive critic technique is proposed to numerically solve for the optimal control and the detailed algorithm is presented. Finally, two examples-one linear and one nonlinear-are solved applying the conditions derived and the algorithm proposed. Numerical results demonstrate the power of the neural network based adaptive critic method in solving this class of problems.
X. Wang and S. N. Balakrishnan, "Optimal Controller Synthesis of Variable-Time Impulsive Problems using Single Network Adaptive Critics," Neural Networks, 2008, Institute of Electrical and Electronics Engineers (IEEE), Jun 2008.
The definitive version is available at http://dx.doi.org/10.1109/IJCNN.2008.4634387
Mechanical and Aerospace Engineering
Keywords and Phrases
Optimal Control; Single Network Adaptive Critics; Variable-Time Impulsive
Article - Conference proceedings
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