The widely used backpropagation algorithm based on stochastic gradient descent suffers from typically slow convergence to either local or global minimum error. This backpropagation algorithm bears great resemblance to a classic proportional integral derivative (PID) control system. Fractional calculus shows promise for improving stability and response in feedback control through the use of non-...

Fractional Calculus is usually applied to control systems by means of the well-known PI?D? scheme, which adopts integral and derivative components non-integer orders ? µ. An alternative approach add equally distributed fractional-order terms PID scheme instead replacing integer-order (Distributed Order PID, DOPID). This work analyzes properties DOPID with five terms, that PII1/2DD1/2 (the half-...

Proportional Integral Derivative (PID) controller is one of the most classical controllers, which has a good performance in industrial applications. The traditional PID parameter tuning relies on experience, however, intelligent algorithm used to optimize controller, makes it more convenient. Fish Migration Optimization (FMO) an excellent that mimics swim and migration behaviors fish biology. E...

Genetic algorithm (GA) has been used in this study for a new approach of suboptimal model reduction in the Nyquist plane and optimal time domain tuning of proportional-integral-derivative (PID) and fractional-order (FO) PI(λ)D(μ) controllers. Simulation studies show that the new Nyquist-based model reduction technique outperforms the conventional H(2)-norm-based reduced parameter modeling techn...

Abstract In this work, chaos game optimization (CGO), a robust approach, is employed for efficient design of novel cascade controller four test systems with interconnected power (IPSs) to tackle load–frequency control (LFC) difficulties. The CGO method based on theory principles, in which the structure fractals seen via chaotic principle and fractals’ self-similarity characteristics are conside...

— The objective of this work is to nd out optimum settings for a fractional PI D controller in order to ful l ve different design speci cations for the closed-loop system, taking advantage of the fractional orders, and . Since these fractional controllers have two parameters more than the conventional PID controller, two more speci cations can be met, improving the performance of the system. Fo...