FAT-based robust adaptive control of optical micro electro mechanical system

Abstract

This paper is concerned with the problem of designing a FAT-based robust adaptive control strategy for optical micro electro mechanical system (MEMS). Uncertainties including system parameter variations, external disturbance, and un-modeled dynamics are considered in control design procedure. The uncertainties firstly represented by finite linear combinations of orthonormal basis function with some unknown constant weighting vectors. Appropriate update laws for the weighting vectors are then adjusted using the Lyapunov method so that uniformly ultimately bounded (UUB) stability of the output error can be proved as long as a sufficient number of basis functions are used. The proposed control strategy is simple, and less computational that is suitable for practical implementation. Simulation results demonstrate high performance of the proposed control schemes.