Optimization Strategy for PID-Controller Design of AMB Rotor Systems

Abstract

Most industrial active magnetic bearings (AMBs) are controlled by proportional-integral-derivative (PID) controllers. Usually, a time-consuming iterative manual tuning procedure is required to design these PID controllers. In this contribution, we introduce the strategy, algorithms, and results from an AMB controller design, including optimization using a multiobjective genetic algorithm. We focus on the combination of frequency-and time-domain-based optimization, a strategy for the evaluation of fitness functions for complex PID-controller design, and a sensitivity-based parameter reduction for optimization. Two AMB system controller designs are considered and satisfactory results are obtained using the suggested optimization strategy. For validation purposes, the optimized controller design is experimentally implemented for the first AMB system, which contains a flexible test rotor supported by two AMBs. The maximal rotational speed of 15 000 r/min is achieved for the test rotor. A comparison between simulated and experimental results is presented.Index Terms-Active magnetic bearings (AMBs), controller design, multiobjective optimization, optimization strategy. 1063-6536

Improvement of flexible rotor/active magnetic bearings system performance using pi-d control

“…Because of that, in the last few decades, a lot of research has been done in order to find out the best way to design a proper controller for the flexible rotor control using AMB [3 -5] and [12]. Also, tuning of PID control parameters is in the focus of research right now [13,14]. Reviewing the literature it can be noticed that there is no research which focuses on different types of PID control used to control flexible rotor/AMB system.…”

Design proportional‐integral‐derivative/proportional‐derivative controls for second‐order time‐varying switched nonlinear systems

“…In 1942, Ziegler and Nichols first proposed a method for designing the PID controller parameters . After that, many techniques had been proposed to improve PID tuning . It is noteworthy that recent research on PID control mainly focused on second‐order nonlinear uncertain systems, stochastic systems, and so on .…”

“…46 After that, many techniques had been proposed to improve PID tuning. [62][63][64][65][66][67][68] It is noteworthy that recent research on PID control mainly focused on second-order nonlinear uncertain systems, 41,69,70 stochastic systems, 71 and so on. 72 Especially, Zhao and Guo 41 recently constructed a three-dimensional manifold, in which three PID parameters can be chosen arbitrarily to globally stabilize second-order nonlinear systems with affine uncertainties; Gu et al 61 investigated the PD/PI control for global synchronization of general complex dynamical networks with directed topologies.…”

Active vibration control of the flexible high-speed rotor with magnetic bearings via phase compensation to pass critical speed

“…Therefore, some researchers propose that based on the simple PID, general filters such as lead and lag filter, notch filter should be introduced to stabilize the rotor flexible modes. [10][11][12][13] Lei and Palazzolo introduce the lead compensator and notch filter to the PID control in the C-Vehicle flywheel system to stabilize the rotor flexible mode. However, there is only simulation analysis without experimental results.…”