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Passive Fuzzy Controller Design for Perturbed Nonlinear Drum-Boiler System with Multiplicative Noise

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並列摘要


This paper addresses the problem of designing robust passive fuzzy controller for uncertain nonlinear drum-boiler system with multiplicative noise. For this problem, the Takagi-Sugeno (T-S) fuzzy model is employed to represent the nonlinearities of boiler system to be an analyzed system. Based on the T-S fuzzy model, the sufficient stability conditions are developed as the Linear Matrix Inequality (LMI) problem by Itô's formula and Lyapunov function. Besides, the strictly input passive theory is employed to discuss the external disturbance effect on system and investigate attenuation performance for disturbance. With applying the proposed controller design technique, the perturbed nonlinear boiler system with multiplicative noise can be guaranteed to be mean square stable and strict input passive.

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