Fuzzy control theory: a nonlinear case
Automatica (Journal of IFAC)
General analytical structure of typical fuzzy controllers and their limiting structure theorems
Automatica (Journal of IFAC) - Special section on fault detection, supervision and safety for technical processes
Studies on the output of fuzzy controller with multiple inputs
Fuzzy Sets and Systems
Explicit formulas for fuzzy controller
Fuzzy Sets and Systems
Towards a paradigm for fuzzy logic control
Automatica (Journal of IFAC)
Theory and application of a novel fuzzy PID controller using a simplifier Takagi-Sugeno rule scheme
Information Sciences: an International Journal - Special issue analytical theory of fuzzy control with applications
Industrial Applications of Fuzzy Logic and Intelligent Systems
Industrial Applications of Fuzzy Logic and Intelligent Systems
Analysis of direct action fuzzy PID controller structures
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Fuzzy Systems
Constructing nonlinear variable gain controllers via the Takagi-Sugeno fuzzy control
IEEE Transactions on Fuzzy Systems
PI-Fuzzy controllers for integral plants to ensure robust stability
Information Sciences: an International Journal
Advanced variable structure PI controllers
ETFA'09 Proceedings of the 14th IEEE international conference on Emerging technologies & factory automation
A neural fuzzy framework for system mapping applications
Knowledge-Based Systems
A novel fuzzy framework for nonlinear system control
Fuzzy Sets and Systems
Survey paper: A survey on industrial applications of fuzzy control
Computers in Industry
Some investigations on fuzzy P + fuzzy I + fuzzy D controller for non-stationary process
International Journal of Automation and Computing
Hi-index | 22.14 |
The popular linear PID controller is mostly effective for linear or nearly linear control problems. Nonlinear PID controllers, however, are needed in order to satisfactorily control (highly) nonlinear plants, time-varying plants, or plants with significant time delay. This paper extends our previous papers in which we show rigorously that some fuzzy controllers are actually nonlinear PI, PD, and PID controllers with variable gains that can outperform their linear counterparts. In the present paper, we study the analytical structure of an important class of two- and three-dimensional fuzzy controllers. We link the entire class, as opposed to one controller at a time, to nonlinear PI, PD, and PID controllers with variable gains by establishing the conditions for the former to structurally become the latter. Unlike the results in the literature, which are exclusively for the fuzzy controllers using linear fuzzy sets for the input variables, this class of fuzzy controllers employs nonlinear input fuzzy sets of arbitrary types. Our structural results are thus more general and contain the existing ones as special cases. Two concrete examples are provided to illustrate the usefulness of the new results.