Wavelet-based method for stability analysis of vibration control systems with multiple delays |
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Authors: | Jun Zhou You-He Zhou K M Liew |
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Affiliation: | (1) School of Mechanical Engineering, The State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an, 710049, People’s Republic of China |
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Abstract: | A new method based on wavelets is proposed for stability analysis of vibration control system with multiple delays. In this
method, solutions of the initial-value problem of time delayed vibration control systems are approximated by wavelets. Applying
wavelet collocation method, the initial-value problem of the time delayed vibration control systems is transformed to a mapping
system. The stability of the original system depends on the maximal modulus of eigenvalues of the mapping matrix, and the
numerical solution of the initial-value problem are obtained by solving the mapping system. Numerical examples show that the
method can locate stable and unstable regions in parameter planes and produces accurate numerical solutions of initial-value
problems of time delayed systems. |
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Keywords: | |
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