Output Regulation of Polynomial-Fuzzy-Model-Based Control Systems
Output Regulation of Polynomial-Fuzzy-Model-Based Control Systems
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DOI：
10.1109/tfuzz.2012.2211365
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发表时间：
2013-04
影响因子：
11.9
通讯作者：
H. Lam;Ji-Chang Lo
中科院分区：
文献类型：
--
作者：
H. Lam;Ji-Chang Lo
本文研究了基于多项式-模糊模型（PFMB）控制系统的输出调节问题，考虑了系统的稳定性和基于平方和（SOS）方法的控制综合。由多项式模糊模型和积分作用闭环连接的多项式模糊控制器组成PFMB控制系统。考虑了三种基于前提隶属度函数和模糊规则数的PFMB控制系统，它们各自具有各自的特性和优点。基于李亚普诺夫稳定性理论研究了PFMB控制系统的稳定性。考虑隶属函数的信息，得到了每种情况下的基于sos的稳定性条件，保证了系统的稳定性，实现了输出调节。通过仿真实例对三种情况进行了比较，说明了所提方法的有效性。
This paper investigates the output regulation problem of polynomial-fuzzy-model-based (PFMB) control systems with the consideration of system stability and control synthesis using the sum-of-squares (SOS)-based approach. A PFMB control system is formed by a polynomial fuzzy model and a polynomial fuzzy controller with integral action connected in a closed loop. Three cases of PFMB control systems regarding the premise membership functions and number of fuzzy rules, which have their own properties and advantages, are considered. The stability of the PFMB control systems is investigated based on the Lyapunov stability theory. With consideration of the information of membership functions, SOS-based stability conditions corresponding to each case are obtained to guarantee system stability and to realize output regulation. Simulation examples are given to compare the three cases and illustrate the effectiveness of the proposed approach.