In this paper, the differential transform method (DTM) is applied for solving time-invariant state-feedback control problems. The optimal equations are obtained using the Pontryagin's maximum principle (PMP) and Bellman's Dynamic Programming. We present the closed-loop optimal control of linear plants with quadratic performance index. The results reveal that the proposed methods are very effective and simple. Comparisons are made between the results of two proposed methods and the exact solutions.
The Use of the Differential Transform Method to Solve Time-Invariant State-Feedback Optimal Control Problems
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received July 24, 2011; final manuscript received February 19, 2013; published online May 10, 2013. Assoc. Editor: Rama K. Yedavalli.
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Nik, H. S. (May 10, 2013). "The Use of the Differential Transform Method to Solve Time-Invariant State-Feedback Optimal Control Problems." ASME. J. Dyn. Sys., Meas., Control. July 2013; 135(4): 041005. https://doi.org/10.1115/1.4023974
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