کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
389259 | 661121 | 2014 | 25 صفحه PDF | دانلود رایگان |
In this paper, we address the robust stabilization design problem for nonlinear stochastic partial differential systems (NSPDSs) in the presence of random external disturbances and measurement noise in the spatio-temporal domain. We propose a fuzzy stochastic partial differential system to approximate the NSPDSs based on fuzzy interpolation approach. Next, we develop a fuzzy stochastic spatial state space model to represent the fuzzy stochastic partial differential system by employing a semi-discretization finite difference scheme. Based on this model, we propose a robust fuzzy estimator-based stabilization controller to stabilize the NSPDSs. Furthermore, robust stochastic H∞H∞ stabilization design is suggested to attenuate the effects of random external disturbances and measurement noise in the spatio-temporal domain from the area energy point of view. The LMI technique is applied to solve the issue of control gains and estimator gains of the controller by using a systematic control design procedure. Finally, a simulation is presented as an example to illustrate the design procedure and to confirm the performance of the proposed robust fuzzy estimator-based stabilization design for the NSPDSs.
Journal: Fuzzy Sets and Systems - Volume 248, 1 August 2014, Pages 61–85