基于平方和方法的非线性多项式模糊系统的静态输出反馈控制综合

2011 2nd International Conference on Instrumentation, Communications, Information Technology, and Biomedical Engineering Pub Date : 2011-12-22 DOI:10.1109/ICICI-BME.2011.6108643

B. W. Sanjaya, B. Trilaksono, A. Syaichu-Rohman

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引用次数: 5

摘要

本文用平方和方法研究了非线性多项式模糊系统的静态输出反馈控制综合问题。开环非线性系统用多项式模糊模型表示。通过考虑输出反馈控制方案中的闭环系统和包含二次Lyapunov函数的多项式Lyapunov函数作为特例，可以用SOS的表示形式推导出稳定性分析和控制设计问题解的充分条件。它可以通过SOSTOOLS进行数值求解。

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Static output feedback control synthesis for nonlinear polynomial fuzzy systems using a sum of squares approach

This paper addresses the static output feedback control synthesis problem for nonlinear polynomial fuzzy systems using a sum of squares (SOS) approach. The open-loop nonlinear systems is represented in the polynomial fuzzy model. By considering the closed-loop system in the output feedback control scheme and the polynomial Lyapunov functions that contain quadratic Lyapunov functions as special cases, sufficient conditions for a solution to the problems of stability analysis and control design can be derived in the representation form of the SOS. It can be numerically solved via the SOSTOOLS.

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2011 2nd International Conference on Instrumentation, Communications, Information Technology, and Biomedical Engineering

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