Order-independent optimal polynomial control of stochastic dynamical systems
by Yong-Bo Peng; Jie Li; Jian-Bing Chen
International Journal of Structural Engineering (IJSTRUCTE), Vol. 3, No. 1/2, 2012

Abstract: As the traditional knowledge of optimal polynomial controls, the control effect of non-linear control strategy hinges on the order of the polynomial controllers either for linear systems or non-linear systems, In the present paper, a novel optimal polynomial control strategy against this knowledge, based on the framework of physical stochastic optimal control, for stochastic dynamical systems is proposed. The control criterion relies on the minimum of a performance function in an energy trade-off sense, as gauged by exceedance probability of system quantities of interest, involving an optimisation programme. For illustrative purposes, non-linear stochastic optimal controls of base-excited multi-degree-of-freedom linear and hysteretic structural systems are carried out, respectively. Numerical results reveal that the optimal polynomial control exhibits the order-independent behaviour that the linear control with the first-order controller suffices even for the hysteretic systems when the exceedance probability based control criterion is employed. This is practically meaningful since it bypasses the need to utilise non-linear controllers which might be associated with dynamical instabilities due to time delay and computational dynamics. It is noted, meanwhile, that the response performance of the controlled structural systems is improved significantly.

Online publication date: Wed, 20-Aug-2014

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Structural Engineering (IJSTRUCTE):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com