A novel infinite-time optimal tracking control scheme for a class of discrete-time nonlinear systems via the greedy HDP iteration algorithm

作者：Zhang Huaguang^*; Wei Qinglai; Luo Yanhong

来源：IEEE Transactions on Systems, Man, and Cybernetics - Part B: Cybernetics , 2008, 38(4): 937-942.

DOI：10.1109/TSMCB.2008.920269

• convergence
• greedy heuristic dynamic programming (HDP) iteration
• infinite time
• neural network
• optimal tracking control

In this paper, we aim to solve the infinite-time optimal tracking control problem for a class of discrete-time nonlinear systems using the greedy heuristic dynamic programming (HDP) iteration algorithm. A new type of performance index is defined because the existing performance indexes are very difficult in solving this kind of tracking problem, if not impossible. Via system transformation, the optimal tracking problem is transformed into an optimal regulation problem, and then, the greedy HDP iteration algorithm is introduced to deal with the regulation problem with rigorous convergence analysis. Three neural networks are used to approximate the performance index, compute the optimal control policy, and model the nonlinear system for facilitating the implementation of the greedy HDP iteration algorithm. An example is given to demonstrate the validity of the proposed optimal tracking control scheme.

• 出版日期2008-8
• 单位东北大学