Neighboring extremal solution for discrete-time optimal control problems with state inequality constraints

Proceedings of the American Control Conference

Volumn , Issue , 2008, Pages 3823-3828

  Ghaemi, Reza ^a   Sun, Jing ^a   Kolmanovsky, Ilya ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b FORD MOTOR COMPANY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS TIME SYSTEMS; INTERSECTIONS; OPTIMAL CONTROL SYSTEMS; PREDICTIVE CONTROL SYSTEMS;

COMPUTATIONALLY EFFICIENT; DISCRETE-TIME OPTIMAL CONTROL; EXTREMAL CONTROL; GENERAL CLASS; INEQUALITY CONSTRAINTS; MODEL PREDICTIVE CONTROL ALGORITHMS; NUMERICAL EXAMPLES; STATE CONSTRAINTS;

MODEL PREDICTIVE CONTROL;

EID: 52449133991     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2008.4587089     Document Type: Conference Paper

References (14)

1. J. V. Breakwell, J. L. Speyer, and A. E. Bryson, "Optimization and control of nonlinear systems using the second variation," SIAM Journal on Control, Vol. 1, pp. 193-223, 1963.
2. J. V. Breakwell and Y. C. Ho,"On the conjugate point condition for the control problem," International Journal of Engineering and Science, Vol. 2, pp. 565-579, 1965.
3. S. R. McReynolds and A. E. Bryson,"A successive sweep method for optimal programming problems," Auto control conference, 1965.
4. F. L. Lewis, Optimal Control, Wiley, New York, 1986.
5. B. Kugelmann, H. J. Pesch, "A new general guidance method in constrained optimal control, Part 1: Numerical method," Journal of Optimization Theory and Applications, Vol. 67, pp. 421-435, 1990.
6. C. Bus̈kens, H. Maurer, "Sensitivity analysis and real-time control of parametric optimal control problems using nonlinear programming method, In M. Grötschel, S. O. Krumke, J. Rambau (editors):, Online Optimization of Large Scale Systems, Springer-Verlag, Berlin, 2001.
7. R. Ghaemi, J. Sun, I. V. Kolmanovsky, "Model Predictive Control for constrained ciscrete time systems: An Optimal Perturbation Analysis Approach," Proceedings of the American Control Conference, New York City, pp. 3757-3762, July 2007.
8. A. E. Bryson and Y. Ho, Applied Optimal Control, Hemisphere Publishing Corp, Washington D. C., 1975.
9. W. H. Chen, D. J. Ballance and J. O'Reilly, "Model predictive control of nonlinear systems: computational burden and stability" IEE Proc.-Control Theory Appl., Vol. 147, N0. 4, July 2000.
10. M.B. Milam, R. Franz, J. E. Hauser, R. Murray,"Receding horizon control of a vectored thrust flight experiment," IEE Proc.-Control Theory Appl., Vol. 152, No. 3, May 2005.
11. R. Ghaemi, J. Sun, I. Kolmanovsky, "Model Predictive Control for constrained discrete time systems: An integrated perturbation analysis and sequential quadratic programming approach," Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, to appear.
12. B. Gholami, B. W. Gordon, C. A. Rabbath, "Uncertain nonlinear receding horizon control systems subject to non-zero computation time," Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference 2005, Sevelle, Spain, December 12-15, 2005.
13. R. Ghaemi, J. Sun, I. Kolmanovsky, "Computationally efficient model predictive control with explicit disturbance mitigation and constraint enforcement," Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, pp. 4842-4847, December 2006.
14. M. H. Casado, A. Fernandez, and J. Iglesis,"Optimization of the course in the ship's movement by input-output linearization", Proceedings of IFAC Conference on Control Application and Marine Systems, pp. 419-424, 2001.