Volume 10 Number 2
April 2013
Article Contents
Vineet Kumar, A. P. Mittal and R. Singh. Stability Analysis of Parallel Fuzzy P + Fuzzy I + Fuzzy D Control Systems. International Journal of Automation and Computing, vol. 10, no. 2, pp. 91-98, 2013. doi: 10.1007/s11633-013-0701-5
Cite as: Vineet Kumar, A. P. Mittal and R. Singh. Stability Analysis of Parallel Fuzzy P + Fuzzy I + Fuzzy D Control Systems. International Journal of Automation and Computing, vol. 10, no. 2, pp. 91-98, 2013. doi: 10.1007/s11633-013-0701-5

Stability Analysis of Parallel Fuzzy P + Fuzzy I + Fuzzy D Control Systems

Author Biography:
  • A. P. Mittal received the B. Eng. degree in electrical engineering from Madan Mo- han Malaviya Engineering College Gorakh- pur, India, M.Tech. degree from Univer- sity of Roorkee, India, and Ph. D. de- gree from Indian Institute of Technology, Delhi, India. He worked as a professor at the Electrical Engineering Department, Chhotu Ram State College of Engineering (CRSCE), Murthal, Haryana, India from 1997 to 2001. Also, he served as an assistant professor and lec- turer at Regional Engineering College (REC), Kurukshrtra and Hamirur, India.

  • Corresponding author: Vineet Kumar
  • Received: 2010-11-19
通讯作者: 陈斌, bchen63@163.com
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Stability Analysis of Parallel Fuzzy P + Fuzzy I + Fuzzy D Control Systems

  • Corresponding author: Vineet Kumar

Abstract: 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.

Vineet Kumar, A. P. Mittal and R. Singh. Stability Analysis of Parallel Fuzzy P + Fuzzy I + Fuzzy D Control Systems. International Journal of Automation and Computing, vol. 10, no. 2, pp. 91-98, 2013. doi: 10.1007/s11633-013-0701-5
Citation: Vineet Kumar, A. P. Mittal and R. Singh. Stability Analysis of Parallel Fuzzy P + Fuzzy I + Fuzzy D Control Systems. International Journal of Automation and Computing, vol. 10, no. 2, pp. 91-98, 2013. doi: 10.1007/s11633-013-0701-5
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