A variance-constrained proportional-integral feedback controller that tunes itself

2000 ◽  
Vol 32 (6) ◽  
pp. 479-491 ◽  
Author(s):  
ENRIQUE DEL CASTILLO
2018 ◽  
Vol 51 (4) ◽  
pp. 1-6
Author(s):  
Michiel Haemers ◽  
Stijn Derammelaere ◽  
Clara-Mihaela Ionescu ◽  
Kurt Stockman ◽  
Jasper De Viaene ◽  
...  

2016 ◽  
Vol 65 ◽  
pp. 284-295 ◽  
Author(s):  
Pouria Sarhadi ◽  
Abolfazl Ranjbar Noei ◽  
Alireza Khosravi

2019 ◽  
Vol 26 (11-12) ◽  
pp. 976-988 ◽  
Author(s):  
Mustafa S Ayas ◽  
Erdinc Sahin ◽  
Ismail H Altas

Stewart platform or other parallel manipulators with a Stewart structure are commonly used in flight simulators, surgical operations, medical rehabilitation processes, machine tools, industrial applications, etc. Therefore, researchers have paid attention to position control of these manipulators in addition to their design and development process. In this study, a developed Stewart platform and its inverse kinematic analysis are presented first. Then, a model-free control scheme called a high order differential feedback controller scheme is designed for the Stewart platform in order to improve its trajectory tracking performance and robustness against to different reference trajectories. Real-time trajectory tracking experiments with varied reference trajectories are carried out to show the robustness and effectiveness of the high order differential feedback controller scheme compared to the traditional proportional–integral–derivative controller of which the parameters are optimally tuned. The obtained visual trajectory tracking results and numerical performance results based on error-based performance measurement metrics such as integral of absolute error, integral of squared error, and integral of time-weighted absolute error are provided for both the proposed high order differential feedback controller scheme and the optimal tuned proportional–integral–derivative controller. Experimental results show that the proposed high order differential feedback controller scheme is more robust than the proportional–integral–derivative controller. Furthermore, the high order differential feedback controller scheme has superiority in both transient and steady-state responses and even the parameters of the proportional–integral–derivative controller are optimally tuned.


2000 ◽  
Vol 276 (5-6) ◽  
pp. 245-256 ◽  
Author(s):  
Hector Puebla ◽  
Jose Alvarez-Ramirez

Author(s):  
Lina Hao ◽  
Jinhai Gao ◽  
Hongpeng Che

In the recent past, it has been observed that flexure-based microposition stages with a large workspace and high motion precision are gaining popularity for performing practical micromanipulation tasks. Thus, a piezoactuated flexible two-degrees-of-freedom micromanipulator integrated with a pair of displacement amplifiers is developed. To enhance the practical positioning performance of the micromanipulator, this paper proposes a feed-forward frictional-order proportional–integral–derivative based feedback control approach to eliminate the undesired resonant mode of a piezoactuated microposition stage to satisfy the accuracy of the system. The control approach is composed of the integration inverse feed-forward compensator, the feedback controller, and the frictional-order proportional–integral–derivative controller. The integration inverse feed-forward compensator with an extended unparallel Prandtl–Ishlinskii model is introduced for addressing the nonlinearity of the piezoactuated microposition stage, leading to an approximately linear system. When all the roots of the system characteristic equation are negative real numbers or have negative real parts, the feedback controller is guaranteed to have tracking stability. Next, a frictional-order proportional–integral–derivative controller is designed to enhance the tracking performance of the microposition stage. Finally, comparative experiments with the conventional proportional–integral–derivative controller are performed, revealing that the practical positioning performance has been increased by nearly 35%. The experimental results demonstrate that the performance with the frictional-order proportional–integral–derivative+feedback controller is improved significantly.


2017 ◽  
Vol 865 ◽  
pp. 561-564
Author(s):  
Rong Rong Song

In order to improve the nonlinear and uncertain characteristics of the suspension system, using the differential geometry, the suspension system is transformed into two linear subsystems. The state feedback controller and the proportional integral derivative (PID) controller based on the genetic algorithm are designed, and the fuzzy comprehensive evaluation method based on the analytic hierarchy process is modified, which can evaluate the suspension performance of the controllers. The evaluation results show that the proportional integral derivative controller with the genetic algorithm is better than the state feedback controller.


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