Robust stabilising controller synthesis for discrete-time recurrent neural networks via state feedback

Zhang, Jianhai; Zhang, Huaixiang; Dai, Guojun; Zhang, Senlin; Liu, Meiqin

doi:10.1504/ijmic.2010.035277

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U-model based LMI robust controller design

Liu

Yuan

Zhu

et al. 2014

Proceedings of the 33rd Chinese Control Conference

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Abstract:In this study, an LMI (Linear Matrix Inequality) based H∞ robust controller design approach is proposed to improve the performance of the designed U-pole placement control systems. Unlike the classical design procedures, the control-oriented U-model based nonlinear control systems cancel the nonlinearity of the nonlinear models. Therefore, the closed loop transfer function of U-pole placement control system can be regarded as a linear block. The solvability and sub-optimality of discrete-time H ∞ robust control are converted to find feasible solutions for LMIs. Once the internal parameters changed, the LMI based H∞ controllers have a higher level of robustness compared with traditional controllers. A nonlinear dynamic model is selected to test the performance of the LMI robust controller to demonstrate the proposed approach effective.

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