A two-phase computational scheme for solving bang-bang control problems

Optimization and Engineering

Volumn 7, Issue 4, 2006, Pages 445-458

  Huang, Chih Hung ^a   Tseng, Ching Huan ^b  

^a Chief Technology Co Ltd   (Taiwan)

^b NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

Admissible optimal control problem formulation; Bang bang control; Enhanced branch and bound method; Time optimal control problem; Two Phase Scheme

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; CONTROL SYSTEM ANALYSIS; DISCRETE TIME CONTROL SYSTEMS; NUMERICAL METHODS; OPTIMAL CONTROL SYSTEMS;

ADMISSIBLE OPTIMAL CONTROL PROBLEM FORMULATION; BANG-BANG CONTROL PROBLEMS; ENHANCED BRANCH-AND-BOUND METHOD; TIME-OPTIMAL CONTROL PROBLEM; TWO-PHASE SCHEME;

PROBLEM SOLVING;

EID: 33751543454     PISSN: 13894420     EISSN: 15732924     Source Type: Journal    
DOI: 10.1007/s11081-006-0349-x     Document Type: Article

References (15)

1. Arora JS (1989) Introduction to optimum design. McGraw-Hill, New York
2. Banks SP, Mhana KJ (1992) Optimal control and stabilization of nonlinear systems. IMA Journal of Mathematical Control and Information 9:179-196
3. Bertrand R, Epenoy R (2002) New smoothing techniques for solving bang-bang optimal control problems - numerical results and statistical interpretation. Optimal Control Applications and Methods 23:171-197
4. Huang CH, Tseng CH (2003) Computational algorithm for solving a class of optimal control problems. IASTED International Conference on Modelling, Identification, and Control (MIC2003), Innsbruck, Austria, pp 118-123
5. Kaya CY, Noakes JL (1996) Computations and time-optimal controls. Optimal Control Applications and Methods 17:171-185
6. Kirk DE (1970) Optimal control theory: An introduction. Prentice-Hall
7. Lee HWJ, Jennings LS, Teo KL, Rehbock V (1997) Control parameterization enhancing technique for time optimal control problems. Dynamic Systems and Applications 6:243-262
8. Lee HWJ, Teo KL, Rehbock V, Jennings LS (1999) Control parameterization enhancing technique for optimal discrete-valued control problems Automatica 35:1401-1407
9. Lee HWJ, Teo KL, Andrew EB Lim (2001) Sensor scheduling in continuous time. Automatica 37:2017-2023
10. Lucas SK, Kaya CY (2001) Switching-time computation for bang-bang control laws. In: Proceedings of the 2001 American Control Conference, pp 176-181
11. Rao SS (1996) Engineering optimization: Theory and practice. 3rd edn. Jonh Wiley & Sons
12. Sage AP, White CC (1977) Optimum systems control, 2nd edn. Prentic Hall
13. Simakov ST, Kaya CY, Lucas SK (2002) Computations for time-optimal bang-bang control using a lagrangian formulation. 15th Triennial World Congress, Barcelona, Spain
14. Tseng CH, Wang LW, Ling SF (1995) Enhancing branch-and-bound method for structural optimization. Journal of Structural Engineering 121(5):831-837
15. Wu ST (1999) Time-optimal control and high-gain linear state feedback. International Journal of Control 72(9):764-772