In this paper, we extend the popular integral control technique to systems evolving on Lie groups. More explicitly, we provide an alternative definition of “integral action” for proportional(derivative)-controlled systems whose configuration evolves on a nonlinear space, where configuration errors cannot be simply added up to compute a definite integral. We then prove that the proposed integral...

This work proposes a new kind of trajectory tracking controller for the differential drive mobile robot (DDMR), namely, nonlinear neural network fractional-order proportional integral derivative (NNFOPID) controller. The suggested controller’s coefficients comprise integral, proportional, and gains as well powers. adjustment these turns design proposed NNFOPID control further problematic than c...

In this Paper, a novel approach based on Cuckoo search optimization, with dominant eigen value shift for designing robust decentralized load frequency control system for interconnected power system is presented. A proportional integral – derivative (PID) controller is considered to exemplify the optimum parameter search. To demonstrate the robustness of the obtained controller, a two-area non r...

Educational issues of Proportional, Integral (PI) and Proportional, Integral, and Derivative (PID) type controller design in undergraduate course on control, graduate course on control, advanced control topics are discussed. The main attention is devoted to multi-time-scale control systems where PI PID type controllers designed for nonlinear systems in the presence of plant parameter variations...

In this work, a new control scheme for synchronization of AC microgrids with upstream power grid is presented. The effects of V2Gs (vehicle to grid) dynamics on synchronization process is studied. This new control approach is based on the optimal fractional calculus and has been developed for synchronization of the microgrid. The V2Gs effect on the dynamics of the microgrid is analyzed through ...