Journal of Advanced Marine Engineering and Technology (한국마린엔지니어링학회지)
- Volume 28 Issue 8
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- Pages.1299-1312
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- 2004
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- 2234-7925(pISSN)
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- 2234-8352(eISSN)
Stability Analysis and Proposal of a Simple Form of a Fuzzy PID Controller
- Lee, Byung-Kyul (Korea Maritime University) ;
- Kim, In-Hwan (Jin-Ju National University) ;
- Kim, Jong-Hwa (Korea Maritime University)
- Published : 2004.11.01
Abstract
This paper suggests the simple form of a fuzzy PID controller and describes the design principle, tracking performance, stability analysis and changes of parameters of a suggested fuzzy PID controller. A fuzzy PID controller is derived from the design procedure of fuzzy control. It is well known that a fuzzy PID controller has a simple structure of the conventional PID controller but posses its self-tuning control capability and the gains of a fuzzy PID controller become nonlinear functions of the inputs. Nonlinear calculation during fuzzification, defuzzification and the fuzzy inference require more time in computation. To increase the applicability of a fuzzy PID controller to digital computer, a simple form of a fuzzy PID controller is introduced by the backward difference mapping and the analysis of the fuzzy input space. To guarantee the BIBO stability of a suggested fuzzy PID controller, ‘small gain theorem’ which proves the BIBO stability of a fuzzy PI and a fuzzy PD controller is used. After a detailed stability analysis using ‘small gain theorem’, from which a simple and practical method to decide the parameters of a fuzzy PID controller is derived. Through the computer simulations for the linear and nonlinear plants, the performance of a suggested fuzzy PID controller will be assured and the variation of the gains of a fuzzy PID controller will be investigated.
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