Comparison of LMS and RLS Algorithm for Active Vibration Control of Smart Structures

Abstract

Control algorithm is one of the key elements for active vibration suppression of the space flexible structure based on smart materials. As least mean square (LMS) algorithm and recursive least square (RLS) algorithm are two fundamental algorithms for adaptive feed-forward filter algorithm drawing wide attention, this paper focuses on the algorithm process analysis and performance comparison of the two adaptive algorithms based on finite impulse response (FIR) structure. The design and related characteristic analysis of the controller is given as well as the realization process based on the theoretical analysis. Simulation is done using Matlab 7.0 to verify the correctness of the theoretical analysis. The simulation comparison between the two type algorithms shows that RLS algorithm has faster convergence and better control performance than LMS algorithm. On the basis of the simulation analysis, the actual vibration suppression experiment is done on the constructed experimental platform for piezoelectric flexible beam, and experiment result confirms the simulation effects.