The Stability Analysis for Multivariable System Based on Lyapunov’s Function and its Application in Oil-Water Separation

Ai Hua Xu; Ying Zi Yuan

doi:10.4028/www.scientific.net/AMR.926-930.3310

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 926-930The Stability Analysis for Multivariable System...

The Stability Analysis for Multivariable System Based on Lyapunov’s Function and its Application in Oil-Water Separation

Abstract:

By choosing even universal Lyapunov’s function, we obtain sufficient condition of independent stability and exponential stability of delayed system . By choosing a set of suitable parameters, we can reduce the conservation of condition. As a result, this method provides a new way to ameliorate stability in robustness bounds and robustness control for uncertain system with delayed state. Analyze oil-water separation process of control system in the unite station. Obtain variation relevancy chart with oil-water separation process. Clear classify the relation among variation.