A mathematical explanation via "intelligent" PID controllers of the strange ubiquity of PIDs

The ubiquity of PID controllers in the industry has remained mysterious until now. We provide here a mathematical explanation of this strange phenomenon by comparing their sampling with the the one of "intelligent" PID controllers, which were recently introduced. Some computer simulations nevertheless confirm the superiority of the new intelligent feedback design

Modified Scheme of PID Controllers for Robot Manipulators with an Uncertain Jacobian Matrix

Performance and robustness of the traditional PID controllers are both limited since only three parameters are available to tune in controller design. A new modified scheme of PID controller is proposed in this paper for Cartesian regulation of robot manipulators with uncertain Jacobian matrix, in which the integral action is adapted to error amplitude. The proposed controller improved performance and robustness of the resulting system significantly and it is demonstrated by simulation comparison with the traditional one

Advances in PID Control

Since the foundation and up to the current state-of-the-art in control engineering, the problems of PID control steadily attract great attention of numerous researchers and remain inexhaustible source of new ideas for process of control system design and industrial applications. PID control effectiveness is usually caused by the nature of dynamical processes, conditioned that the majority of the industrial dynamical processes are well described by simple dynamic model of the first or second order. The efficacy of PID controllers vastly falls in case of complicated dynamics, nonlinearities, and varying parameters of the plant. This gives a pulse to further researches in the field of PID control. Consequently, the problems of advanced PID control system design methodologies, rules of adaptive PID control, self-tuning procedures, and particularly robustness and transient performance for nonlinear systems, still remain as the areas of the lively interests for many scientists and researchers at the present time. The recent research results presented in this book provide new ideas for improved performance of PID control applications