Pseudo-invariant H2 multi variable robust control of a flexible beam

2001 ◽  
Author(s):  
F. A. Devy Vareta ◽  
G. Montseny
Keyword(s):  
Robust Control ◽  
Flexible Beam

H ∞ Robust Control of Flexible Beam Vibration by Using a Hybrid Damper

1996 ◽  
Vol 118 (3) ◽  
pp. 643-648 ◽  
Author(s):  
Chong-Won Lee ◽  
Won-Ho Jee
Keyword(s):  
Robust Control ◽  
Laboratory Test ◽  
Cantilever Beam ◽  
Large Amplitude ◽  
Vibration Absorber ◽  
Flexible Beam ◽  
Test Rig ◽  
Control Scheme ◽  
Large Amplitude Vibrations ◽  
Hybrid Damper

A new hybrid damper is proposed to suppress the vibration of a flexible cantilever beam at its free end. It consists of an active piezoelectric-type servo-damper and a passive dampled vibration absorber to effectively suppress both the small and large amplitude vibrations. The H∞ control scheme is successfully applied to a laboratory test rig equipped with the hybrid damper when its overhung length is continually changed.

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.

Active Vibration Control of Beams by Combining Precompressed Layer Damping and ACLD Treatment: Performance Comparison of Various Robust Control Techniques

2012 ◽  
Vol 134 (2) ◽  
Author(s):  
Rajiv Kumar
Keyword(s):  
Robust Control ◽  
Closed Loop ◽  
Active Vibration Control ◽  
Flexible Structures ◽  
Performance Comparison ◽  
Loop System ◽  
Flexible Beam ◽  
Closed Loop System ◽  
Linear Quadratic ◽  
System Parameters

It is a well known fact that system parameters of the flexible structures keep on changing due to several reasons. Ordinary controllers lose their effectiveness in changed situations and do not guarantee the stability of the closed loop system. However, controllers designed based on robust control theory not only maintain the closed loop stability of the perturbed system with a large variation in system parameters but also maintain the best performance. H∞ loop shaping controller is designed and implemented experimentally on a smart flexible beam treated with precompressed layer damping and ACLD treatment. It outperforms linear quadratic Gaussian and standard H∞ controller both in terms of robust stability and robust performance. Relative merits and demerits of the μ-synthesis based controller are also discussed. Afterwards, these controllers were digitized at certain sampling frequencies and applied to the experimental flexible structure. Certain time domain parameters of the closed loop system discuss the relative superiority of these controllers which otherwise cannot be captured using frequency domain results alone.

Frequency domain analysis and robust control design for an ideal flexible beam

Automatica ◽  
1991 ◽  
Vol 27 (6) ◽  
pp. 947-961 ◽  
Author(s):  
Kathryn Lenz ◽  
Hitay Özbay ◽  
Allen Tannenbaum ◽  
Janos Turi ◽  
Blaise Morton
Keyword(s):  
Robust Control ◽  
Frequency Domain ◽  
Control Design ◽  
Domain Analysis ◽  
Frequency Domain Analysis ◽  
Flexible Beam ◽  
Robust Control Design
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