This paper develops a systematic scheme to solve for the optimal controls of variable time impulsive systems. First, the optimality conditions for variable time impulse driven systems are derived using the calculus of variation. After wards, a neural network based adaptive critic method is proposed to numerically solve the two-point boundary value problems formulated based on the optimality conditions derived. Finally, two examples - one linear and one nonlinear - are presented to illustrate the conditions derived and to show the power of the neural network based adaptive critic method proposed.
X. Wang and S. N. Balakrishnan, "Optimal Neuro-Controller Synthesis for Variable-Time Impulse Driven Systems," American Control Conference, Institute of Electrical and Electronics Engineers (IEEE), Jun 2008.
The definitive version is available at https://doi.org/10.1109/ACC.2008.4587088
Mechanical and Aerospace Engineering
National Science Foundation (U.S.)
Keywords and Phrases
Boundary-Value Problems; Control System Synthesis; Neurocontrollers; Optimal Control; Time-Varying Systems; Variational Techniques
Article - Conference proceedings
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