Design of a GA-based fuzzy PID controller for non-minimum phase systems

Design of hierarchical fuzzy model for classification problem using GAs

“…To make this classification method effective, we adopt the GAs that are based on the mechanics of natural selection and natural genetic to solve both problems. Genetic algorithms achieve a parallel search and keep a population of individual solutions (Kuo & Li, 1999;Li & Shieh, 2000;Ishibuchi, Aguirre, & Tanaka, 2000;Lozano & Larranaga, 1999;Song & Kim, 2000). Using the GAs, the optimization problem should be transformed into an adequate function, which is called the fitness function.…”

“…One advantage of using these linguistic summaries is that we can describe knowledge about a database in that form, which is very natural for a human to understand. Fuzzy linear regression (Redden, 1996;Savic & Pedrycz, 1991;Tanaka, 1987;Wang & Tsaur, 2000) and GA-based fuzzy logic (Kuo & Li, 1999;Li & Shieh, 2000;Mondal & Maiti, 2003; 2. Hierarchical fuzzy classification model for classification problem…”

fuzzy PID control synthesis for Takagi–Sugeno fuzzy systems

“…Significant efforts have been made to investigate the Mamdani fuzzy PID control systems. To mention a few, the analytical structure analysis results are reported in [5][6][7], the stability analysis problems are considered in [8,9], and the controller design methods are proposed in [10][11][12][13][14][15]. For the T-S fuzzy PID control systems, the analytical structure analysis is explored in [16,17], where the results show that a T-S fuzzy PID controller is a nonlinear PID controller with variable gains.…”

Stability analysis of T-S fuzzy PD, PI, and PID control systems

“…Comparisons between the proposed fuzzy PI controllers and ZieglerNichols-tuned PID controllers have shown that the former outperforms the latter with regard to various performance indexes, such as overshoot, settling time, and integral absolute error. The Genetic Algorithms (GAs)-based Mamdani fuzzy PI+PD controller is used to eliminate the overshoot of a nonminimum phase system in [8], where the fuzzy PI controller is implemented to cancel the effect of unstable zeros, and the fuzzy PD controller is applied to reform the transient response. It is reported in [9] that a Mamdani fuzzy PI-like (fuzzy PD controller plus an integrator) controller can be effectively used in the milling process, and the stability is guaranteed by the circle criterion.…”