Abstract
We present a simple and systematic way of designing stabilization fuzzy PID (Proportional-Integral-Differential), PI (Proportional-Integral), and PD (Proportional-Differential) controllers for the T-S fuzzy model. The state space representations of the fuzzy PD, PI, and PID controllers are firstly presented. Then we equivalently transform the fuzzy PID (PI, or PD) control system into the fuzzy static output feedback control system. The fuzzy static output feedback controller design for the latter system can be efficiently solved via the existing numerical optimization methods with some conservatism. Consequently, the fuzzy PID (PI, or PD) controller can be derived due to the one-on-one correspondence between the fuzzy PID controller and the fuzzy static output feedback controller. We use a numerical simulation example to show the effectiveness of our proposed methods.
Original language | English |
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Pages (from-to) | 351-355 |
Number of pages | 5 |
Journal | 2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD) |
Early online date | 13 Jan 2016 |
DOIs | |
Publication status | E-pub ahead of print - 13 Jan 2016 |
Event | 12th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2015 - Zhangjiajie, China Duration: 15 Aug 2015 → 17 Aug 2015 |
Keywords
- fuzzy PID controllers
- linear matrix inequalities (LMIs)
- static output feedback control
- T-S fuzzy models