The Sliding Mode Control (SMC) is well known by its robustness to parameter uncertainties or external disturbances. The repetitive control (RC) is able to track or reject periodic and multi-periodic signals. This paper presents a new control strategy as a combination of a Sliding Mode approach and Repetitive Control to reject periodic and multi-periodic disturbances in the case of nonlinear mul...

The paper investigates the issue of stability with respect to external disturbances for global attractor wave equation under conditions that do not ensure uniqueness solution initial problem. Under general nonlinear terms, it is proved undisturbed problem locally stable in sense ISS and has AG property disturbances.

Abstract: PFC (Predictive Functional Control) is a simple but very effective SISO (Single-Input SingleOutput) predictive controller. A disturbance estimator is proposed based on PFC algorithm in case of nonmeasurable disturbances. The algorithm considers both external disturbance signal and internal, structural disturbances (process/model mismatch). Estimated disturbance feed-forward control ca...

Based on Lyapunov stability theorem, a method is proposed for feedback synchronization with parameters perturbation and external disturbances. It is proved theoretically that if the perturbation and disturbances are bounded, the synchronization error can be ensured to approach to and stay within the pre-specified bound which can be arbitrarily small. Some typical chaotic systems with different ...

Flexible membranes are envisioned as a key component of large, lightweight, space-based systems. This paper focuses on the problem of adaptive disturbance rejection, that is, the rejection of external disturbances with unknown spectral content. It describes the design and operation of a laboratory testbed involving a flexible membrane with acoustic excitation and optical sensing. The ARMARKOV a...