Stability analysis of parallel fuzzy P + fuzzy I + fuzzy D control systems

被引：10
作者：
Kumar V. [1 ]
Mittal A.P. [1 ]
Singh R. [2 ]
机构：
[1] Division of Instrumentation and Control Engineering, Netaji Subhas Institute of Technology, Delhi University, New Delhi
[2] Indian Society for Technical Education, Shaheed Jeet Singh Marg, New Delhi
来源：
Kumar, V. (vineetkumar27@gmail.com) | 1600年 / Chinese Academy of Sciences卷 / 10期
关键词：
bounded-input and bounded-output (BIBO) stability; fuzzy control; nonlinear process; Proportional plus integral plus derivative (PID);
D O I：
10.1007/s11633-013-0701-5
中图分类号：
学科分类号：
摘要：
The study presented in this paper is in continuation with the paper published by the authors on parallel fuzzy proportional plus fuzzy integral plus fuzzy derivative (FP + FI + FD) controller. It addresses the stability analysis of parallel FP + FI + FD controller. The famous "small gain theorem" is used to study the bounded-input and bounded-output (BIBO) stability of the fuzzy controller. Sufficient BIBO-stability conditions are developed for parallel FP + FI + FD controller. FP + FI + FD controller is derived from the conventional parallel proportional plus integral plus derivative (PID) controller. The parallel FP + FI + FD controller is actually a nonlinear controller with variable gains. It shows much better set-point tracking, disturbance rejection and noise suppression for nonlinear processes as compared to conventional PID controller. © 2013 Institute of Automation, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.
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页码：91 / 98
页数：7
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