scholarly journals Reduced-order model feedback control design: numerical implementation in a thin shell model

2000 ◽  
Vol 45 (7) ◽  
pp. 1312-1324 ◽  
Author(s):  
H.T. Banks ◽  
R.C.H. del Rosario ◽  
R.C. Smith
Keyword(s):  
Feedback Control ◽  
Shell Model ◽  
Thin Shell ◽  
Control Design ◽  
Reduced Order Model ◽  
Numerical Implementation ◽  
Order Model ◽  
Reduced Order

Feedback Control of Cavity Flow Using Experimental Based Reduced Order Model

2005 ◽  
Author(s):  
Edgar Caraballo ◽  
X. Yuan ◽  
Jesse Little ◽  
Marco Debiasi ◽  
P Yan ◽  
...  
Keyword(s):  
Feedback Control ◽  
Cavity Flow ◽  
Reduced Order Model ◽  
Order Model ◽  
Reduced Order

Distributed Feedback Control of the Benjamin-Bona-Mahony-Burgers Equation by a Reduced-Order Model

2015 ◽  
Vol 5 (1) ◽  
pp. 61-74 ◽  
Author(s):  
Guang-Ri Piao ◽  
Hyung-Chun Lee
Keyword(s):  
Feedback Control ◽  
Numerical Experiments ◽  
Burgers Equation ◽  
Distributed Feedback ◽  
Reduced Order Model ◽  
Order Model ◽  
Reduced Order ◽  
Order Case ◽  
Functional Gain ◽  
Proper Orthogonal

AbstractA reduced-order model for distributed feedback control of the Benjamin-Bona-Mahony-Burgers (BBMB) equation is discussed. To retain more information in our model, we first calculate the functional gain in the full-order case, and then invoke the proper orthogonal decomposition (POD) method to design a low-order controller and thereby reduce the order of the model. Numerical experiments demonstrate that a solution of the reduced-order model performs well in comparison with a solution for the full-order description.

scholarly journals Reduced-order model based feedback control of the modified Hasegawa-Wakatani model

2013 ◽  
Vol 20 (4) ◽  
pp. 042501 ◽  
Author(s):  
I. R. Goumiri ◽  
C. W. Rowley ◽  
Z. Ma ◽  
D. A. Gates ◽  
J. A. Krommes ◽  
...  
Keyword(s):  
Feedback Control ◽  
Reduced Order Model ◽  
Order Model ◽  
Reduced Order ◽  
Model Based

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

Optimal Output Feedback Control of Asymmetric Systems Using Complex Modes

1993 ◽  
Vol 115 (2) ◽  
pp. 307-313 ◽  
Author(s):  
G. W. Fan ◽  
H. D. Nelson ◽  
M. P. Mignolet
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Output Feedback Control ◽  
High Order ◽  
Reduced Order Model ◽  
Control Procedure ◽  
Order Model ◽  
Complex Mode ◽  
Reduced Order ◽  
Complex Modes

A Linear Quadratic Regulator (LQR)-based least-squares output feedback control procedure using a complex mode procedure is developed for the optimal vibration control of high-order asymmetric discrete system. An LQ Regulator is designed for a reduced-order model obtained by neglecting high-frequency complex modes of the original system. The matrix transformations between physical coordinates and complex mode coordinates are derived. The complex mode approach appears to provide more accurate reduced-order models than the normal mode approach for asymmetric discrete systems. The proposed least-squares output feedback control procedure takes advantage of the fact that a full-state feedback control is possible without using an observer. In addition, the lateral vibration of a high-order rotor system can be effectively controlled by monitoring one single location along the rotor shaft, i.e., the number of measured states can be much less than the number of eigenvectors retained in producing the reduced-order model while acceptable performance of the controller is maintained. The procedure is illustrated by means of a 52 degree-of-freedom finite element based rotordynamic system. Simulation results show that LQ regulators based on a reduced-order model with 12 retained eigenvalues can be accurately approximated by using feedback of four measured states from one location along the rotor shaft. The controlled and uncontrolled transient responses, using various numbers of measured states, of the original high-order system are shown. Comparisons of reduced-order model results using normal modes and complex modes are presented. The spillover problem is discussed for both collocated and noncollocated cases based on this same example.

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