Fuzzy control theory: a nonlinear case
Automatica (Journal of IFAC)
Nonlinear systems analysis (2nd ed.)
Nonlinear systems analysis (2nd ed.)
Realization of PID controls by fuzzy control methods
Fuzzy Sets and Systems - Special issue on modern fuzzy control
PID type fuzzy controller and parameters adaptive method
Fuzzy Sets and Systems
Fuzzy PID controller: Design, performance evaluation, and stability analysis
Information Sciences: an International Journal - Special issue analytical theory of fuzzy control with applications
A PID type fuzzy controller with self-tuning scaling factors
Fuzzy Sets and Systems
Fuzzy Control and Modeling: Analytical Foundations and Applications
Fuzzy Control and Modeling: Analytical Foundations and Applications
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Conventional fuzzy control and its enhancement
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Analytical structures and analysis of the simplest fuzzy PDcontrollers
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Design of a hybrid fuzzy logic proportional plus conventional integral-derivative controller
IEEE Transactions on Fuzzy Systems
A systematic study of fuzzy PID controllers-function-based evaluation approach
IEEE Transactions on Fuzzy Systems
New design and stability analysis of fuzzy proportional-derivative control systems
IEEE Transactions on Fuzzy Systems
Brief Parallel structure and tuning of a fuzzy PID controller
Automatica (Journal of IFAC)
Fuzzy controller design for temperatures of continuous soaking process in sugar plant
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 4
Optimal fuzzy control system using the cross-entropy method. A case study of a drilling process
Information Sciences: an International Journal
Survey paper: A survey on industrial applications of fuzzy control
Computers in Industry
Fuzzy control of an electrodynamic shaker for automotive and aerospace vibration testing
Expert Systems with Applications: An International Journal
A multivariable predictive fuzzy PID control system
Applied Soft Computing
Stability analysis of parallel fuzzy P + fuzzy I + fuzzy D control systems
International Journal of Automation and Computing
Performance analysis of fractional order fuzzy PID controllers applied to a robotic manipulator
Expert Systems with Applications: An International Journal
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Analytical structure for a fuzzy PID controller is introduced by employing two fuzzy sets for each of the three input variables and four fuzzy sets for the output variable. This structure is derived via left and right trapezoidal membership functions for inputs, trapezoidal membership functions for output, algebraic product triangular norm, bounded sum triangular co-norm, Mamdani minimum inference method, and center of sums (COS) defuzzification method. Conditions for bounded-input bounded-output (BIBO) stability are derived using the Small Gain Theorem. Finally, two numerical examples along with their simulation results are included to demonstrate the effectiveness of the simplest fuzzy PID controller.