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Stability Analysis and Synthesis for Nonlinear Networked Control Systems

机译:非线性网络控制系统的稳定性分析与综合

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Abstract: The paper is concerned with stabilization of nonlinear networked systems which are described by the Takagi-Sugeno fuzzy systems. Based on Lyapunov-Krasovskii stability theorem, stability analysis and control design problems are considered. Novel Lyapunov-Krasovskii function and corresponding generalized controller allow to obtain less conservative conditions for the networked control system to be asymptotically stable. Furthermore, free matrix parameter method is introduced. This method is known to reduce the conservatism in control design conditions. With such novel controller and novel Lyapunov-Krasovskii function, a new controller design method is proposed. Resulting conditions for a controller to stabilize the networked control system are less conservative and are applicable for a wider class of nonlinear systems.
机译:摘要:本文涉及由Takagi-Sugeno模糊系统描述的非线性网络系统的稳定性。基于Lyapunov-Krasovskii稳定性定理,考虑了稳定性分析和控制设计问题。新颖的Lyapunov-Krasovskii函数和相应的广义控制器可使网络控制系统渐近稳定,从而获得较少的保守条件。此外,介绍了自由矩阵参数法。已知这种方法可降低控制设计条件中的保守性。利用这种新颖的控制器和新颖的Lyapunov-Krasovskii函数,提出了一种新的控制器设计方法。控制器稳定网络控制系统的结果条件不太保守,适用于更广泛的非线性系统。

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