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

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

  • 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.
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