On a nonlinear multivariable servomechanism problem
Automatica (Journal of IFAC)
Adaptive algorithms for the rejection of sinusoidal disturbances with unknown frequency
Automatica (Journal of IFAC)
Nonlinear Control Systems
Brief Robust adaptive compensation of biased sinusoidal disturbances with unknown frequency
Automatica (Journal of IFAC)
Brief Global output regulation of uncertain nonlinear systems with exogenous signals
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Robust output regulation with nonlinear exosystems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Adaptive backstepping fuzzy control for nonlinearly parameterized systems with periodic disturbances
IEEE Transactions on Fuzzy Systems
Hi-index | 22.15 |
This paper deals with asymptotic rejection of periodic disturbances which may have asymmetric basic wave patterns. This class of disturbances covers asymmetric wave forms in the half-period such as alternating sawtooth wave form, some disturbances which are generated from nonlinear oscillation such as Van de Pol oscillators, as well as disturbances with symmetric half-period wave forms such as sinusoidal disturbances and triangular disturbances etc. The systems considered in this paper can be transformed to the nonlinear output feedback form. The amplitude and phase of the disturbances are unknown. The novel concept of integral phase shift is introduced together with the newly introduced half-period integration operator to investigate the invariant properties of asymmetric periodic disturbances. They are used for the estimation of unknown disturbances in the systems, together with observer design techniques to deal with nonlinearity. The proposed control design with the disturbance estimation asymptotically rejects the unknown disturbance, and ensures the overall stability of the system.