- Title
- Analytical solution of input constrained reference tracking problems by dynamic programming
- Creator
- Mare, Jose B.; De Dona, Jose A.
- Relation
- CDC-ECC '05: 44th IEEE Conference on Decision and Control, 2005 and European Control Conference 2005. Proceedings of The 44th IEEE Conference on Decision and Control 2005 and European Control Conference 2005 (Seville, Spain 12-15 December, 2005) p. 1701-1706
- Relation
- http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1582404
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2005
- Description
- This paper is concerned with the explicit solution to constrained receding-horizon reference tracking control problems. The goal of this work is, for any scalar reference trajectory, to find the optimal control law for SISO linear systems such that a quadratic cost functional is minimised over a horizon of length N, subject to the satisfaction of input constraints, and under the assumption that the reference is known over the entire horizon. A global solution (i.e., valid in the entire data-space) for this problem, and for arbitrary horizon N, is derived analytically by using dynamic programming. The optimal solution is given by a piece-wise affine function of the data (the initial state of the system and the reference sequence), and the data-space is partitioned into a number of polyhedral regions, inside each of which a unique affine function is applied. From the dynamic programming solution, a clear relationship is exposed between input-constrained reference tracking problems and state estimation problems in the presence of constrained disturbances.
- Subject
- constrained receding-horizon reference tracking control problems; scalar reference trajectory; SISO linear systems; quadratic cost functional; dynamic programming
- Identifier
- uon:2993
- Identifier
- http://hdl.handle.net/1959.13/32322
- Identifier
- ISBN:0780395670
- Rights
- Copyright © 2005 IEEE. Reprinted from the 44th IEEE Conference on Decision and Control 2005 and European Control Conference 2005, p. 1701-1706. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Newcastle's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
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