scholarly journals Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model

2018 ◽  
Author(s):  
Peter Benner ◽  
Tim Mitchell ◽  
Michael L. Overton
Keyword(s):  
Control Design ◽  
Reduced Order Model ◽  
Order Model ◽  
Reduced Order ◽  
Stability Constraint ◽  
Low Order

Investigation of Robust Combination Control for Elastic Vehicle Based on Reduced-Order Model

2013 ◽  
Vol 378 ◽  
pp. 3-12
Author(s):  
Zi Jian Zhang ◽  
Bin Liu
Keyword(s):  
Circuit Design ◽  
Error Bounds ◽  
Control Method ◽  
Design Method ◽  
Reduced Order Model ◽  
Equivalent Model ◽  
Order Model ◽  
Reduced Order ◽  
Design Error ◽  
Low Order

Putting forward with an integrated flight and aeroelasticity control method of elastic air vehicle and aiming at the reduction errors introduced during combination dynamic model reduction, the paper adopts mixed sensitivity H∞control to design low-order combination control law that satisfies its robustness based on reduced-order model. Against to the wide reduced-order error bounds that may influence control performance, the two-circuit design method is used, and combined with inner-circuit suboptimal feedback design, error bounds of equivalent model are greatly narrowed. Without any orders extra added to the controllers, the outer-circuit robust controller designed on that basis will effectively improve the performance of the system, significantly superior to the single circuit design method. It is shown in simulation results that such low-order combination law will not only provide satisfactory robustness and performance, but will also effectively suppress the occurrence of servo flutter, while the greatly-reduced orders will be helpful for the realization of projects.

scholarly journals Active Vibration Suppression of Smart Cantilever Beam with Sliding Mode Observer Using Two Piezoelectric Patches

2017 ◽  
Vol 13 (1) ◽  
pp. 50-65
Author(s):  
Shibly A. AL-Samarraie ◽  
Mohsin N. Hamzah ◽  
Imad A. Abdulsahib
Keyword(s):  
Cantilever Beam ◽  
Vibration Suppression ◽  
Sliding Mode ◽  
Control Design ◽  
Sliding Mode Observer ◽  
Reduced Order Model ◽  
Control Law ◽  
Order Model ◽  
Reduced Order ◽  
Tip Displacement

This paper presents a vibration suppression control design of cantilever beam using two piezoelectric ‎patches. One patch was used as ‎an actuator element, while the other was used as a sensor. The controller design was designed via the balance realization reduction method to elect the reduced order model that is most controllable and observable. ‎the sliding mode observer was designed to estimate six states from the reduced order model but three states are only used in the control law. Estimating a number of states larger than that used is in order to increase the estimation accuracy. Moreover, the state ‎estimation error is proved bounded. An ‎optimal LQR controller is designed then using the ‎estimated states with the sliding mode observer, to ‎suppress the vibration of a smart cantilever ‎beam via the piezoelectric elements. The control spillover problem was avoided, by deriving an avoidance ‎condition, to ensure the ‎asymptotic stability for the proposed vibration ‎control design. ‎The numerical simulations were achieved to ‎test the vibration attenuation ability of the ‎proposed optimal control. For 15 mm initial tip ‎displacement, the piezoelectric actuator found ‎able to reduce the tip displacement to about 0.1 ‎mm after 4s, while it was 1.5 mm in the ‎open loop case.  The current experimental results showed a good performance of the proposed LQR control law and the sliding mode observer, as well a good agreement with theoretical results.

scholarly journals Control Design for Soft Robots based on Reduced Order Model

2018 ◽  
pp. 1-1 ◽  
Author(s):  
Maxime Thieffry ◽  
Alexandre Kruszewski ◽  
Christian Duriez ◽  
Thierry-marie Guerra
Keyword(s):  
Control Design ◽  
Reduced Order Model ◽  
Order Model ◽  
Soft Robots ◽  
Reduced Order

Sliding mode control design via reduced order model approach

2007 ◽  
Vol 4 (4) ◽  
pp. 329-334 ◽  
Author(s):  
B. Bandyopadhyay ◽  
Alemayehu G/Egziabher Abera ◽  
S. Janardhanan ◽  
Victor Sreeram
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Control Design ◽  
Reduced Order Model ◽  
Order Model ◽  
Reduced Order ◽  
Mode Control ◽  
Model Approach
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