Near minimax robust control of flexible structures

2004 ◽  
Author(s):  
M. Muenchhof ◽  
T. Singh
Keyword(s):  
Robust Control ◽  
Flexible Structures

Identification and robust control of flexible structures using shape memory actuators

1993 ◽  
Author(s):  
Robert W. Lashlee ◽  
Rajendra R. Damle ◽  
Vittal S. Rao ◽  
Frank J. Kern
Keyword(s):  
Robust Control ◽  
Shape Memory ◽  
Flexible Structures ◽  
Shape Memory Actuators

Robust vibration control of flexible panel: modeling and simulation

2017 ◽  
Vol 14 (5) ◽  
pp. 433-442
Author(s):  
Aalya Banu ◽  
Asan G.A. Muthalif
Keyword(s):  
Robust Control ◽  
Vibration Control ◽  
Controller Design ◽  
Control Strategies ◽  
Active Vibration Control ◽  
Flexible Structures ◽  
Parametric Uncertainty ◽  
Design Algorithm ◽  
Content Type ◽  
And Performance

Purpose This paper aims to develop a robust controller to control vibration of a thin plate attached with two piezoelectric patches in the presence of uncertainties in the mass of the plate. The main goal of this study is to tackle dynamic perturbation that could lead to modelling error in flexible structures. The controller is designed to suppress first and second modal vibrations. Design/methodology/approach Out of various robust control strategies, μ-synthesis controller design algorithm has been used for active vibration control of a simply supported thin place excited and actuated using two piezoelectric patches. Parametric uncertainty in the system is taken into account so that the robust system will be achieved by maximizing the complex stability radius of the closed-loop system. Effectiveness of the designed controller is validated through robust stability and performance analysis. Findings Results obtained from numerical simulation indicate that implementation of the designed controller can effectively suppress the vibration of the system at the first and second modal frequencies by 98.5 and 88.4 per cent, respectively, despite the presence of structural uncertainties. The designed controller has also shown satisfactory results in terms of robustness and performance. Originality/value Although vibration control in designing any structural system has been an active topic for decades, Ordinary fixed controllers designed based on nominal parameters do not take into account the uncertainties present in and around the system and hence lose their effectiveness when subjected to uncertainties. This paper fulfills an identified need to design a robust control system that accommodates uncertainties.

Modeling and Active Vibration Control for Bridge Tower Structures Under Construction

1997 ◽  
Author(s):  
Kazuto Seto ◽  
Fumio Doi ◽  
Mingzhang Ren
Keyword(s):  
Robust Control ◽  
Control Theory ◽  
Active Vibration Control ◽  
Flexible Structures ◽  
Suboptimal Control ◽  
Lumped Mass ◽  
Modes Of Vibration ◽  
Active Vibration ◽  
Under Construction ◽  
Bridge Tower

Abstract For controlling multi-modes of vibration of flexible bridge towers under construction, a lumped mass modeling method and a new method of simple robust control are proposed. Although the robust control theory such as H∞ theory is useful for controlling systems with unknown factors and variable parameters, it is not effective to control multi-modes of vibration of flexible structures. This proposed methods are specified by combining the suboptimal control theory for reducing sensor number and filtering technique for preventing spillover of neglected high modes of vibration. Effectiveness of the method is demonstrated by showing that the first five modes of vibration of a model structure of flexible bridge tower are well controlled without spillover of neglected high modes.

Uncertainty Bounding of CFRP Beams Towards Robust Control of Flexible Composite Structures

2017 ◽  
Author(s):  
Alexander H. Pesch ◽  
Tamunomiesiya LongJohn ◽  
Kristopher Wagner ◽  
Brian J. McAndrews
Keyword(s):  
Composite Materials ◽  
Robust Control ◽  
Composite Structures ◽  
Flexible Structures ◽  
Element Model ◽  
Modal Parameters ◽  
Parametric Uncertainties ◽  
Beam Model ◽  
Carbon Fiber Reinforce Polymer ◽  
Control Framework

As composite materials are becoming increasingly applied in actively controlled flexible structures, the need for practical uncertainty bounding to capture the effect of normal manufacturing variations on their dynamic behavior is also increasing. Currently, there is a lack of quantification of manufacturing variation of composite materials cast in a robust control framework. This work presents a simple experimental study on a particular case of composite member. The modal parameters of a set of 12 unidirectional carbon fiber reinforce polymer beams are identified. A nominal finite element model is numerically fit to the average experimental natural frequencies and antiresonances. The model is augmented with real parametric uncertainties placed on the modal parameters. The bound on the uncertainties is found both deterministically, to capture all experimentally observed data, and stochastically using a predetermined confidence interval. The two uncertainty bounding approaches are compared through the resulting bound on the beam model frequency response. Also, simulations are conducted to compare possible time responses using the two uncertainty bounds. It is found that the utilized structure of parametric uncertainties is effective at capturing the experimentally observed behavior.

Robust Control of Flexible Structures Using Multiple Shape Memory Alloy Actuators

1994 ◽  
Vol 5 (5) ◽  
pp. 702-712 ◽  
Author(s):  
Robert Lashlee ◽  
Robert Butler ◽  
Vittal Rao ◽  
Frank Kern
Keyword(s):  
Robust Control ◽  
Shape Memory Alloy ◽  
Shape Memory ◽  
Flexible Structures

Robust Control for Rapid Reorientation of Flexible Structures

1989 ◽  
Author(s):  
O. Akhrif ◽  
G. L. Blankenship ◽  
W.H. Bennett
Keyword(s):  
Robust Control ◽  
Flexible Structures

Robust Tracking for Uncertain Flexible Structures Using Mixed Time-Optimal and Sliding Mode Control

1997 ◽  
Author(s):  
Nader Jalili ◽  
Nejat Olgac
Keyword(s):  
Robust Control ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Flexible Structures ◽  
Body Motion ◽  
Flexible Beam ◽  
Two Stage ◽  
Mass System ◽  
Mode Control ◽  
Time Optimal

Abstract An improvement step in robust control is studied for uncertain (linear or nonlinear) systems. The proposed two-stage control scheme first modifies the original desired trajectory, and then imposes robustness against uncertainties in tracking this modified trajectory. For the trajectory modification stage, a simple scheme is considered : time optimal-rigid body motion (TO). The robustness stage is performed using Sliding Mode Control with Perturbation Estimation (SMCPE), an advanced form of SMC. This routine brings some strong features as demonstrated by examples. A rotating hub with flexible beam attachment is taken as the first example, and an undercontrolled two-mass system with a linear spring as the second. The comparative studies show superior results for the combination of TO-SMCPE over the basic SMCPE. Moreover, this two-stage control exhibits stable and highly advantages performance even for cases where H∞-type of robust control structure is declared unstable by earlier investigations.

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