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Data-Based Optimal Control for Weakly Coupled Nonlinear Systems Using Policy Iteration

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In this paper, a data-based online learning algorithm is established to solve the optimal control problem for weakly coupled continuous-time nonlinear systems with completely unknown dynamics. Using the weak coupling… Click to show full abstract

In this paper, a data-based online learning algorithm is established to solve the optimal control problem for weakly coupled continuous-time nonlinear systems with completely unknown dynamics. Using the weak coupling theory, we reformulate the original problem into three reduced-order optimal control problems. We establish an online model-free integral policy iteration algorithm to solve the decoupled optimal control problems without system dynamics. To implement the data-based online learning algorithm, the actor-critic technique based on neural networks and the least squares method are used. Two simulation examples are given to verify the effectiveness of the developed algorithm.

Keywords: control; data based; policy iteration; nonlinear systems; optimal control; weakly coupled

Journal Title: IEEE Transactions on Systems, Man, and Cybernetics: Systems
Year Published: 2018

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