Design of Fuzzy Lookup Table for a Class of Fuzzy PID Controllers

MATLAB Course Design Course Report Topic: Design of Fuzzy Lookup Table for a Class of Fuzzy PID Controllers 2 Course Report Requirements: Based on lecture content, the course report should include the following complete and detailed components: 1. Design Task: Clearly define design objectives and requirements, including implementing fuzzy logic algorithms to dynamically adjust PID parameters (Kp, Ki, Kd) based on system error and error rate. 2. Determination of Input and Control Variable Universes and Fuzzy Reference Sets: Establish value ranges for input variables (error and error rate) and control variables (PID parameters), and design fuzzy reference sets using appropriate membership functions (e.g., triangular or Gaussian functions) in MATLAB. 3. Determination of Fuzzy Relation Matrix: Create fuzzy relation matrices based on practical control rules, typically implemented through MATLAB's fuzzy logic toolbox functions like addrule() and ruleview(). 4. Input Variable Fuzzification: Convert crisp input values to fuzzy variables using membership functions, which can be programmed using MATLAB's evalfis() function or custom fuzzification algorithms. 5. Fuzzy Inference Calculation: Perform fuzzy inference calculations based on fuzzy relation matrices and fuzzified input results, implementing Mamdani or Sugeno inference methods through MATLAB's fuzzy logic operations. 6. Fuzzy Decision Making: Execute fuzzy decision making (defuzzification) based on inference results using methods like centroid or weighted average, implemented with MATLAB's defuzz() function. 7. Fuzzy Control Lookup Table: Summarize defuzzification results and design a fuzzy control lookup table that maps input combinations to optimized PID parameters, typically stored as a matrix for real-time controller access. Note: The above expands on course report requirements to ensure inclusion of key concepts while adding detailed implementation explanations for fuzzy PID controller development in MATLAB.