Robust $H_{\infty}$ Fuzzy Control Approach for a Class of Markovian Jump Nonlinear Systems
Robust $H_{\infty}$ Fuzzy Control Approach for a Class of Markovian Jump Nonlinear Systems
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DOI：
10.1109/tfuzz.2006.877359
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发表时间：
2006-12
影响因子：
11.9
通讯作者：
N. Arrifano;V. Oliveira
中科院分区：
文献类型：
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作者：
N. Arrifano;V. Oliveira
本文研究了使用具有H∞性能的鲁棒随机模糊控制器来稳定一类具有马尔可夫跳变参数的非线性系统的问题。所考虑的跳变非线性系统类别由两层模糊模型描述：一个表示跳变的清晰层和一个表示系统非线性的模糊层。将模糊模型与跳变非线性系统之间的逼近误差视为范数有界不确定性，我们基于耦合李雅普诺夫函数开发了一种系统技术，以获得一个鲁棒随机模糊控制器，该控制器保证闭环系统相对于外部输入的L2增益等于或小于规定值。给出了一个在热电联产方案下运行的工业发电厂的仿真示例，以说明所提出的稳定控制器在减少振荡以及在局部负载波动情况下维持期望运行条件方面的有效性。
This paper addresses the problem of stabilizing a class of nonlinear systems subject to Markovian jump parameters using a robust stochastic fuzzy controller with Hinfin performance. The class of jump nonlinear systems considered is described by a fuzzy model composed of two levels: A crisp level which represents the jumps and a fuzzy level which represents the system nonlinearities. Considering the approximation error between the fuzzy model and the jump nonlinear system as norm-bounded uncertainties, we develop a systematic technique based on a coupled Lyapunov function to obtain a robust stochastic fuzzy controller which guarantees the L2 gain of the closed-loop system in respect to external inputs to be equal to or less than a prescribed value. A simulation example on an industrial power plant operating in a cogeneration scheme is presented to illustrate the effectiveness of the proposed stabilizing controller in reducing oscillations as well as maintaining a desired operation condition in the presence of fluctuations in the local load