scholarly journals Greatly enhancing the modeling accuracy for distributed parameter systems by nonlinear time/space separation

2007 ◽  
Vol 376 ◽  
pp. 215-222 ◽  
Author(s):  
Hai-Tao Zhang ◽  
Chen-Kun Qi ◽  
Tao Zhou ◽  
Han-Xiong Li
Keyword(s):  
Distributed Parameter Systems ◽  
Distributed Parameter ◽  
Time Space ◽  
Modeling Accuracy ◽  
Space Separation

Time/Space-Separation-Based SVM Modeling for Nonlinear Distributed Parameter Processes

2011 ◽  
Vol 50 (1) ◽  
pp. 332-341 ◽  
Author(s):  
Chenkun Qi ◽  
Han-Xiong Li ◽  
Xianxia Zhang ◽  
Xianchao Zhao ◽  
Shaoyuan Li ◽  
...  
Keyword(s):  
Distributed Parameter ◽  
Time Space ◽  
Space Separation

scholarly journals Robust Exponential Synchronization for a Class of Master-Slave Distributed Parameter Systems with Spatially Variable Coefficients and Nonlinear Perturbation

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
Chengdong Yang ◽  
Jianlong Qiu ◽  
Kejia Yi ◽  
Xiangyong Chen ◽  
Ancai Zhang ◽  
...  
Keyword(s):  
Direct Method ◽  
Variable Coefficients ◽  
Distributed Parameter Systems ◽  
Exponential Synchronization ◽  
Nonlinear Perturbation ◽  
Linear Matrix ◽  
Distributed Parameter ◽  
Synchronization Problem ◽  
Time Space ◽  
Pde Systems

This paper addresses the exponential synchronization problem of a class of master-slave distributed parameter systems (DPSs) with spatially variable coefficients and spatiotemporally variable nonlinear perturbation, modeled by a couple of semilinear parabolic partial differential equations (PDEs). With a locally Lipschitz constraint, the perturbation is a continuous function of time, space, and system state. Firstly, a sufficient condition for the robust exponential synchronization of the unforced semilinear master-slave PDE systems is investigated for all admissible nonlinear perturbations. Secondly, a robust distributed proportional-spatial derivative (P-sD) state feedback controller is desired such that the closed-loop master-slave PDE systems achieve exponential synchronization. Using Lyapunov’s direct method and the technique of integration by parts, the main results of this paper are presented in terms of spatial differential linear matrix inequalities (SDLMIs). Finally, two numerical examples are provided to show the effectiveness of the proposed methods applied to the robust exponential synchronization problem of master-slave PDE systems with nonlinear perturbation.

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