Constrained Nonlinear-Based Optimisation Applied to Fuzzy PID Controllers Tuning
| Autor: | Catarina Lucena, Paulo Gil, Ana Sebastiao |
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| Rok vydání: | 2017 |
| Předmět: |
Hessian matrix
0209 industrial biotechnology Mathematical optimization 02 engineering and technology Function (mathematics) Fuzzy logic symbols.namesake Nonlinear system 020901 industrial engineering & automation Mathematics (miscellaneous) Control and Systems Engineering Control theory 0202 electrical engineering electronic engineering information engineering Benchmark (computing) symbols 020201 artificial intelligence & image processing Electrical and Electronic Engineering Differential (infinitesimal) Scaling Mathematics |
| Zdroj: | Asian Journal of Control. 20:135-148 |
| ISSN: | 1561-8625 |
| DOI: | 10.1002/asjc.1549 |
| Popis: | This paper aims at studying the optimal Fuzzy Proportional–Integral– Derivative controllers' tuning problem by considering two different nonlinear constrained optimisation techniques. One relying on a Hessian-based analytical approach, and the other based on a differential evolutionary method. In the case of offline implementation, two basic frameworks are under assessment, depending on the controller parameters to be adjusted. For online scaling factors and membership functions' width tuning, its implementation is based on the parallel computation paradigm. The performance index is described by a quadratic cost function, taking as arguments control errors and the increment of control actions. Constraints on the scaling factors, membership functions' width, as well as on the system inputs and outputs are also included in the optimisation problem. Experiments carried out on a benchmark system favour the offline joint optimisation based on the differential evolutionary approach of scaling factors and membership functions' width. |
| Databáze: | OpenAIRE |
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