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Efficient Sparse Approach for Solving Receding-Horizon Control Problems

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Indexed by:期刊论文

Date of Publication:2013-11-01

Journal:JOURNAL OF GUIDANCE CONTROL AND DYNAMICS

Included Journals:SCIE、EI、Scopus

Volume:36

Issue:6

Page Number:1875-1883

ISSN No.:0731-5090

Abstract:Receding-horizon control has an attractive feature in that it has a performance index of a moving initial time and a moving terminal time, and the time interval of the performance index is finite. Because the time interval of the performance index is finite, the optimal feedback law can be determined even for a system that is an open-loop unstable system. In general, the direct discretization of state and control variables by many kinds of difference methods belongs to direct method. The quadratic programming problem obtained from this method can also be solved essentially by linear equations. The indirect Legendre and Jacobi pseudospectral methods expanded the state and costate variables into polynomials with the values of the states and costates at the different discretization points as the expansion coefficients, and then the Hamiltonian canonical equation are reduced into a system of algebraic equations.

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