Optimal Open-Closed Loop Control of Mechanical Systems with Structural Damping

✍ Scribed by R.S. Esfandiari; I.S. Sadek; J.M. Sloss

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 256 KB
• Volume: 163
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1993.1147

✦ Synopsis

Optimal open-closed loop control of a class of self-adjoint systems governed by linear partial differential equations is investigated. Such a class of problems is of considerable importance in large space structures. A technique is proposed to actively damp out the undesired vibrations via open and closed loop control. A performance measure, involving energy at terminal time, as well as open and closed loop control efforts, is introduced. The closed loop control law is assumed to be of proportional type and the optimal open loop control relative to the performance measure is obtained by using the techniques of calculus of variations. Subsequently, the corresponding optimal closed loop control is found numerically. The proposed method is applied to a beam exhibiting structural damping, and the numerical results are presented in graphical form. The effectiveness of a feedback control in the presence of an open loop control is also discussed.