Variational formalism applied to control of autonomous switching systems

• Autorzy: Bagdouri M. E. , Cebron B. , Sechilariu M. , Burger J.
• Języki publikacji: EN

Abstrakty

EN

The formalism of the calculus of variations is applied to determine an optimal control of a class of Hybrid Dynamical Systems. This class consists of autonomous switching systems where jumps of the state are taken into account. It is shown that model switching involves discontinuities in the adjoint state of the system. The expression of the gradient of the cost function, with respect to the control, allows for the calculation of an optimal control by implementing a descent method. Au illustrative linear quadratic example is given, which allows to conclude that, the method can be easily implemented.

Słowa kluczowe

EN

control theory; switching systems; variational calculation

PL

teoria sterowania; system komutacyjny; rachunek wariacyjny

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2004
• Tom: Vol. 33, no 4
• Strony: 535--549
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Bagdouri M. E.

• Laboratoire SeT, UTBM, 90010 Belfort, France

autor

Cebron B.

• LISA, Universite d’Angers, 62 avenue Notre Dame du Lac 49000 Angers, France

autor

Sechilariu M.

• LISA, Universite d’Angers, 62 avenue Notre Dame du Lac 49000 Angers, France

autor

Burger J.

• LISA, Universite d’Angers, 62 avenue Notre Dame du Lac 49000 Angers, France

Bibliografia

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