Vibration control in truss structures using piezoelectric stack actuator and LMI approach

Abstract

The recent years have seen the appearance of innovative system for acoustic and vibration attenuation, most of them integrating new actuator technologies. In this sense, the study of algorithms for active vibrations control in flexible structures became an area of enormous interest, mainly due to countless demands for optimal performance of mechanical systems as aircraft, aerospace and automotive structures. This paper presents an approach that is experimentally verified for active vibration control in a truss structure using piezoelectric stack actuator. It is used feedback technique and the controller gain is obtained by linear quadratic regulator (LQR) solved by linear matrix inequalities (LMIs). The major advantage of LMI design is to enable specifications such as stability degree requirements, decay rate, input force limitation in the actuators and output peak bounder. It is also possible to assume that the model parameters involve uncertainties. The LMI is a very useful tool for problems with constraints, where the parameters vary in a range of values. Once formulated in terms of LMI a problem can be solved efficiently by convex optimization algorithms.