Adaptive algorithms for the rejection of sinusoidal disturbances with unknown frequency
Automatica (Journal of IFAC)
Parameterized LMIs in Control Theory
SIAM Journal on Control and Optimization
Control of Linear Systems with Regulation and Input Constraints
Control of Linear Systems with Regulation and Input Constraints
Brief paper: Robust high-order repetitive control: Optimal performance trade-offs
Automatica (Journal of IFAC)
Brief paper: Generalized asymptotic regulation with guaranteed H2 performance: An LMI solution
Automatica (Journal of IFAC)
Brief Robust adaptive compensation of biased sinusoidal disturbances with unknown frequency
Automatica (Journal of IFAC)
Brief Repetitive control for systems with uncertain period-time
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Performance with regulation constraints
Automatica (Journal of IFAC)
Lyapunov characterization of forced oscillations
Automatica (Journal of IFAC)
Gain-scheduling control of LFT systems using parameter-dependent Lyapunov functions
Automatica (Journal of IFAC)
Periodic disturbance cancellation with uncertain frequency
Automatica (Journal of IFAC)
Hi-index | 22.14 |
Attenuation of sinusoidal disturbances with uncertain yet online measurable frequencies is considered. The disturbances are modeled as the outputs of an undisturbed parameter-dependent exogenous system with a skew-symmetric system matrix, obtained in response to nonzero initial conditions. The problem is formulated for a parameter-dependent plant as the synthesis of a parameter-dependent controller in a way to ensure internal stability as well as a desired level of steady-state disturbance attenuation in the face of all admissible parameter variations. The solvability of this problem is first related to the existence of bounded solutions to a matrix differential regulator equation subject to an asymptotic norm constraint. Reformulating this as a parameter-dependent state-feedback like synthesis, based on which suitable solutions to the differential regulator equation can be obtained online, tractable solvability conditions are then provided in the form of parameter-dependent matrix inequalities. Controllers that solve the generalized asymptotic regulation problem are also parameterized in terms of the suitable solutions of the differential regulator equation and some free parameter-dependent matrices that are to be designed off-line to ensure stability. A procedure is then developed to design the free parameters in a way to achieve desirable transient behavior. The use of the developed synthesis procedure is illustrated on a simplified version of the course control problem in ship steering.