Synthesis of time-optimal control for a class of linear systems

• Autorzy: Penev B. G. , Christov N. D.
• Języki publikacji: EN

Abstrakty

EN

The paper deals with the optimal control synthesis for a class of linear time-optimal control problems of decreasing order. The state-space properties and relationships between two neighbouring problems within this class are studied. Based on these properties, a new approach is proposed for synthesis of time-optimal control, requiring no description of the switching hyper-surface. The approach consists of two main stages: first, the problems of state spaces are analysed, and then the optimal control is obtained by using a multi-stage procedure within the class of problems under consideration.

Słowa kluczowe

EN

time-optimal control; control system synthesis; linear systems; optimal control

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2006
• Tom: Vol. 32, no 1
• Strony: 15--26
• Opis fizyczny: Bibliogr. 8 poz

Twórcy

autor

Penev B. G.

autor

Christov N. D.

• Department of Electronics and Automatics, Technical University of Sofia, Plovdiv Branch. 61, Sanct Petersburg Blvd., 4000 Plovdiv, Bulgaria.

Bibliografia

• [1] ATHANS M., FALB P. L., Optimal Control, McGraw-Hill, New York 1966.
• [2] BOLTYANSKII V. G., Mathematical Methods of Optimal Control, Holt, Rinehart and Winston, New York 1971.
• [3] FELDBAUM A. A., BUTKOWSKY A. G., Methods of the Theory of the Automatic Control, Nauka, Moscow 1971, (in Russian).
• [4] LEE E. B., MARCUS L., Foundations of optimal control theory, Wiley, New York 1967.
• [5] LEITMANN G., The calculus of variations and optimal control. Plenum Press, 1981.
• [6] PENEV B. G., A Method for Synthesis of Time optimal Control of Any Order for a Class of Linear Problems for Time Optimal Control, Ph.D. Thesis, Technical University of Sofia, 1999, (in Bulgarian).
• [7] PINCH E. R., Optimal Control and the Calculus of Variations, Oxford University Press, Oxford 1993.
• [8] PONTRYAGIN L. S., BOLTYANSKII V. G., GAMKRELIDZE R. V., MISCHENKO E. F., The Mathematical Theory of Optimal Processes, Pergamon Press, Oxford 1964.