An optimal PID controller design for nonlinear constrained optimal control problems

Discrete and Continuous Dynamical Systems - Series B

Volumn 16, Issue 4, 2011, Pages 1101-1117

  Li, Bin ^a,b   Teo, Kok Lay ^a,b   Lim, Cheng Chew ^c   Duan, Guang Ren ^a,b  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b CURTIN UNIVERSITY   (Australia)

^c UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

Computational algorithm; Constraint transcription; Continuous inequality constraints; Local smoothing; Nonlinear optimal control; Penalty function; PID controller; Ship steering control

Indexed keywords

EID: 80155198471     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2011.16.1101     Document Type: Article

References (16)

1. J. Van Amerongen, Adaptive steering of ships-a model reference approach, Automatica, 20 (1984), 3-14.
2. M. I. Bech and L. Wangner Smitt, "Analogue Simulation of Ship Manoeuvres," Hydro and Aerodynamics Lab. Report No. Hy-14, Denmark, 1969.
3. D. L. Brooke, "The Design of a New Automaticpilot for the Comerical Ship," First IFAC/IFIP Symosium on Ship Operation Automation, Oslo, 1973.
4. J. Du, C. Guo, S. Yu and Y. Zhao, Adaptive autopilot design of time-varying uncertain ships with completely unknown control coefficient, IEEE Journal of Oceanic Engineering, 32 (2007), 346-352.
5. L. S. Jennings, M. E. Fisher, K. L. Teo and C. J. Goh, "MISER3, Version 3: Optimal Control Software, Theory and User Manual," 1991.
6. L. S. Jennings and K. L. Teo, A computational algorithm for functional inequality constrained optimization problems, Automatica J. IFAC, 26 (1990), 371-375.
7. C. C. Lim and W. Forsythe, Autopilot for ship control, IEE Procedings, 130 (1983), 281-294.
8. C. Y. Liu, Z. H. Gong and E. M. Feng, Modelling and optimal control for nonlinear multistage dynamical system of microbial fed-batch culture, Journal of Industrial and Management Optimization, 5 (2009), 835-850.
9. R. Loxton, K. L. Teo and V. Rehbock, Computational method for a class of swtiched system optimal control problems, IEEE Transactions on Automatic Control, 54 (2009), 2455-2460.
10. R. Loxton, K. L. Teo, V. Rehbock and K. F. C. Yiu, Optimal control problems with a continuous inequality constraint on the state and the control, Automatica, 45 (2009), 2250-2257.
11. V. Rehbock, C. C. Lim and K. L. Teo, A stable constrained optimal model following controller for discrete-time nonlinear systems affine in control, Control Theory and Advanced Technology, 10 (1994), 793-814.
12. K. L. Teo, C. J. Goh and K. H. Wong, "A Unified Computational Approach for Optimal Control Problems," Pitman Monographs and Surveys in Pure and Applied Mathematics, 55, Longman Scientific & Technical, Harlow, copublished in the United States with John Wiley & Sons, Inc., New York, 1991.
13. K. L. Teo, L. S. Jennings, H. W. J. Lee and V. Rehbock, The control parameterization enhencing transform for constrained optimal control problems, J. Austral. Math. Soc. Ser. B, 40 (1999), 314-335.
14. K. L. Teo and C. C. Lim, Time optimal control computation with application to ship steering, Journal of Optimization Theory and Applicaitons, 56 (1988), 145-156. (Pubitemid 18548419)
15. K. L. Teo, V. Rehbock and L. S. Jennings, A new computational algorithm for functional inequality constrained optimization problems, Automatica J. IFAC, 29 (1993), 789-792.
16. C. Z. Wu and K. L. Teo, Global impulsive optimal control computation, Journal of Industrial and Management Optimization, 2 (2006), 435-450.