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Active vibration control; linear quadratic tracking; two-degrees of freedom system

In the last few decades, researchers have proposed many control techniques to suppress unwanted vibrations in a structure. In this work, a novel and simple technique is proposed for the active vibration control. In this technique, an optimal tracking control is employed to suppress vibrations in a structure by simultaneously tracking zero references for modes of vibration. To illustrate the technique, a two-degrees of freedom spring-mass-dampersystem is considered as a test system. The mathematical model of the system is derived and then converted into a state-space model. A linear quadratic tracking control law is then used to make the disturbed system track zero references.

BEHROUZ KHEIRI SARABI¹ MANU SHARMA¹ DAMANJEET KAUR¹

1. UIET, Panjab University, Chandigarh 160 014, India

Manuscript received

14 November 2016

Manuscript revised

26 January 2017

Accepted

22 February 2017

Early published

Unedited version published online

Final version published online

11 July 2017