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

机译:并行模糊P + Fuzzy I + Fuzzy D控制系统的稳定性分析

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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.
机译:本文的研究与作者发表的有关并行模糊比例比例加模糊积分加模糊导数(FP + FI + FD)控制器的论文是连续的。它解决了并行FP + FI + FD控制器的稳定性分析。著名的“小增益定理”用于研究模糊控制器的有界输入和有界输出(BIBO)稳定性。为并行FP + FI + FD控制器开发了足够的BIBO稳定性条件。 FP + FI + FD控制器是从常规并行比例加积分加微分(PID)控制器派生而来的。并行FP + FI + FD控制器实际上是具有可变增益的非线性控制器。与传统的PID控制器相比,它对非线性过程显示出更好的设定点跟踪,干扰抑制和噪声抑制。

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