State-space analysis in the time-optimal control design for a class of linear systems

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

Abstrakty

EN

The paper deals with a new approach to synthesis of time-optimal control for a class of linear systems. It is based on decomposition of the time-optimal control problem into a class of decreasing order problems, and the properties and relations between the problems within this class. First, state-space properties of the problems are analyzed, and then the optimal control is obtained by using a multistage procedure avoiding the switching hypersurface description. The emphasis in this paper is put on the state-space analysis stage of the approach proposed.

Słowa kluczowe

EN

linear time-optimal control; state-space analysis; class of linear systems

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2005
• Tom: Vol. 31, no 4
• Strony: 33--48
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Penev B. G.

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

autor

Christov N.

• Departament of Automatics. Technical University of Sofia and Kliment Ohridski Blvd. 1000 Sofia Bulgaria

Bibliografia

• [1] Penev B. G., Christov N. D., Synthesis of time optimal control for a class of linear systems, (to appear in Systems Science, Vol. 32, No. 1, 2006).
• [2] 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).
• [3] Pontryagin L. S., Boltyanskii V. G., Gamkrelidze R. V., Mischenko E. F., The Mathematical Theory of Optimal Processes, Pergamon Press, Oxford 1964.
• [4] Feldbaum a. a., Butkovsky a. G., Methods of the Theory of the Automatic Control, Nauka. Moscow, 1971, (in Russian).
• [5] Leitmann G., The calculus of variations and optimal control. Plenum Press, 1981.
• [6] Pinch E. R., Optimal Control and the Calculus of Variations. Oxford University Press. Oxford, 1993.