Title :
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
fDate :
Aug. 31 1999-Sept. 3 1999
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;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5
