Energy control of one-degree-of-freedom oscillators in presence of bounded force disturbances

Author

Polushin, I.G. ; Fradkov, A.L. ; Putov, V.V. ; Rogov, K.A.

Author_Institution

Inst. for Problems of Mech. Eng., St. Petersburg, Russia

fYear

1999

fDate

Aug. 31 1999-Sept. 3 1999

Firstpage

3440

Lastpage

3445

Abstract

Energy level stabilization problem for one-degree-of-freedom Hamiltonian systems in presence of bounded input (force) disturbances is considered. It is shown that for arbitrary uniformly bounded force disturbances with sufficiently small bound speed-gradient control law ensures ultimate boundedness of energy error. As an auxiliary result the new sufficient conditions for ultimate boundedness of Lyapunov function along the trajectories of nonlinear nonstationary dynamical system are obtained.

Keywords

Lyapunov methods; power control; power system faults; power system stability; velocity control; Hamiltonian systems; Lyapunov function; arbitrary uniformly bounded input force disturbances; energy control; energy error; energy level stabilization problem; nonlinear nonstationary dynamical system trajectory; one-degree-of-freedom oscillators; small bound speed-gradient control law; ultimate boundedness; Closed loop systems; Energy states; Force; Lyapunov methods; Oscillators; Trajectory; Hamiltonian Systems; Input Disturbances; Nonlinear Oscillations Control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1999 European

Conference_Location

Karlsruhe

Print_ISBN

978-3-9524173-5-5

Type

conf

Filename

7099861