Name
Abstract | ||
|---|---|---|
A function-based evaluation approach is proposed for a systematic study of fuzzy proportional-integral-derivative (PID)-like controllers. This approach is applied for deriving process-independent design guidelines from addressing two issues: simplicity and nonlinearity. To examine the simplicity of fuzzy PID controllers, we conclude that direct-action controllers exhibit simpler design properties than gain-scheduling controllers. Then, we evaluate the inference structures of direct-action controllers in five criteria: control-action composition, input coupling, gain dependency, gain-role change, and rule/parameter growth. Three types of fuzzy PID controllers, using one-, two- and three-input inference structures, are analyzed. The results, according to the criteria, demonstrate some shortcomings in Mamdani's two-input controllers. For keeping the simplicity feature like a linear PID controller, a one-input fuzzy PID controller with "one-to-three" mapping inference engine is recommended. We discuss three evaluation approaches in a nonlinear approximation study: function-estimation-based, generalization-capability-based and nonlinearity-variation-based approximations. The study focuses on the last approach. A nonlinearity evaluation is then performed for several one-input fuzzy PID controllers based on two measures: nonlinearity variation index and linearity approximation index. Using these quantitative indices, one can make a reasonable selection of fuzzy reasoning mechanisms and membership functions without requiring any process information. From the study we observed that the Zadeh-Mamdani's "max-min-gravity" scheme produces the highest score in terms of nonlinearity variations, which is superior to other schemes, such as Mizumoto's "product-sum-gravity" and "Takagi-Sugeno-Kang" schemes |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1109/91.963756 | IEEE T. Fuzzy Systems |
Keywords | Field | DocType |
nonlinearity variation,one-input fuzzy pid controller,nonlinearity evaluation,fuzzy pid controllers-function-based evaluation,nonlinearity variation index,fuzzy reasoning mechanism,direct-action controller,systematic study,linear pid controller,fuzzy pid controller,nonlinear approximation study,fuzzy proportional-integral-derivative,proportional control,membership function,engines,indexation,fuzzy systems,control systems,common sense reasoning,proportional integral derivative,gain scheduling,linear approximation,fuzzy logic,fuzzy control,nonlinearity,process design,pid controller | Mathematical optimization,Nonlinear system,PID controller,Proportional control,Control theory,Inference,Fuzzy logic,Inference engine,Fuzzy control system,Control system,Mathematics | Journal |
Volume | Issue | ISSN |
9 | 5 | 1063-6706 |
Citations | PageRank | References |
50 | 3.51 | 17 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hu Bao-Gang | 1 | 1386 | 83.23 |
| Mann, G.K.I. | 2 | 139 | 13.77 |
| R. G. Gosine | 3 | 258 | 22.50 |