Abstract
This article focuses on dynamic analysis and the fuzzy fixed-time optimal synchronization control problem of unidirectionally coupled fractional-order (FO) permanent magnet synchronous generator (PMSG) system. The synchronization model between FO master and slave PMSGs with capacitive and resistive couplings is built. The dynamic analysis fully reveals its abundant dynamical behaviors including chaotic oscillations and gives stability/instability boundaries with the designed numerical method. In controller design, the hierarchical type-2 fuzzy neural network (HT2FNN) with a transformation is designed to approximate unknown functions, the fixed-time command filter matched up with the compensating signal is proposed to achieve precise estimate and fast convergence, and a fixed-time preconfigured performance function integrated with a smooth and invertible function is built to realize fixed-time convergence and performance constraint. Then a fuzzy fixed-time optimal synchronization control scheme fusing with the HT2FNN, filter, performance function and optimal control is developed under the FO backstepping theory. The stability analysis proves that all signals of the closed-loop system are bounded along with the cost function being minimized. Finally, numerical simulation results verify the feasibility and advantages of our scheme.
| Original language | English |
|---|---|
| Pages (from-to) | 1742-1755 |
| Number of pages | 14 |
| Journal | IEEE Transactions on Fuzzy Systems |
| Volume | 31 |
| Issue number | 5 |
| Early online date | 17 Nov 2022 |
| DOIs | |
| Publication status | Published - May 2023 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 1993-2012 IEEE.
Funding
This work was supported in part by the National Key Research and Development Program of China under Grant 2021ZD0201300, in part by the National Natural Science Foundation of China under Grant 52065008, Grant 61991403, Grant 61860206008, and Grant 61933012, in part by Science and Technology Planning Project of Guizhou Province underGrant [2021]5634,in part by the Innovation and Entrepreneurship Program forHigh-Level Talents of Guizhou Province underGrant (2021)08, and in part by theMajor Project of National Science and Technology Innovation 2030 under Grant 2018AAA0101803.
Keywords
- Dynamical analysis
- fuzzy fixed-time optimal synchronization control
- hierarchical type-2 fuzzy neural network (HT2FNN)
- uncertainty
- unidirectionally coupled fractional-order (FO) permanent magnet synchronous generator (PMSG) system