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http://dx.doi.org/10.12989/sem.2005.21.2.185

Robustness analysis of vibration control in structures with uncertain parameters using interval method  

Chen, Su Huan (Department of Mechanics, Nanling Campus, Jilin University)
Song, Min (Department of Mechanics, Nanling Campus, Jilin University)
Chen, Yu Dong (Department of Mechanics, Nanling Campus, Jilin University)
Publication Information
Structural Engineering and Mechanics / v.21, no.2, 2005 , pp. 185-204 More about this Journal
Abstract
Variations in system parameters due to uncertainties may result in system performance deterioration. Uncertainties in modeling of structures are often considered to ensure that control system is robust with respect to response errors. Hence, the uncertain concept plays an important role in vibration control of the engineering structures. The paper discusses the robustness of the stability of vibration control systems with uncertain parameters. The vibration control problem of an uncertain system is approximated by a deterministic one. The uncertain parameters are described by interval variables. The uncertain state matrix is constructed directly using system physical parameters and avoided to use bounds in Euclidean norm. The feedback gain matrix is determined based on the deterministic systems, and then it is applied to the actual uncertain systems. A method to calculate the upper and lower bounds of eigenvalues of the close-loop system with uncertain parameters is presented. The lower bounds of eigenvalues can be used to estimate the robustness of the stability the controlled system with uncertain parameters. Two numerical examples are given to illustrate the applications of the present approach.
Keywords
uncertain systems; vibration active control; upper and lower bounds of eigenvalues; robustness analysis of the stability; interval analysis;
Citations & Related Records
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Times Cited By Web Of Science : 0  (Related Records In Web of Science)
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