Two considerations for the design of a robust optimal smart structure where control energy is expensive

Thomas G. Ryall

doi:10.1117/12.420877

21 March 2001 Two considerations for the design of a robust optimal smart structure where control energy is expensive

Thomas G. Ryall

Proceedings Volume 4235, Smart Structures and Devices; (2001) https://doi.org/10.1117/12.420877
Event: Smart Materials and MEMS, 2000, Melbourne, Australia

Abstract

Large vibrations in structures are normally unwanted due to corresponding large displacements and accelerations. Other deleterious effects may be caused by the large stresses which are coexistent with these large vibrations; resulting in ultimate failure or at the very least a dramatic reduction in the fatigue life of the structure. A possible solution to this problem is to adopt a "smart structures" approach by using piezoceramic actuators in a feedback control loop to reduce these unwanted vibrations. Two distinct problems will be considered here (although distinct they are of equal importance to the whole control system ).The first problem is the optimal placement of piezoceramics for a given amount of material so as to obtain "maximum modal controllability". A cantilevered plate is examined as an example. The second problem considered is the design of robust optimal controllers which maximize the damping of the lightest damped mode in the closed ioop system. Restricting the position of the poles of the controller to lie within a certain domain effectively limits the bandwidth of the controller and ensures robustness. The non-linear problem of maximizing the minimum damping using only a certain amount of control energy whilst the controller is restricted in the aforementioned way is solved. In the case of expensive control energy which motivates our study it is seen that the results agree with our intuition via some simple examples.

Citation Download Citation

Thomas G. Ryall "Two considerations for the design of a robust optimal smart structure where control energy is expensive", Proc. SPIE 4235, Smart Structures and Devices, (21 March 2001); https://doi.org/10.1117/12.420877

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available