Optimal active pointwise control of vibrating thin plates

✍ Scribed by Maria L. Blanton; Ibrahim S. Sadek

• Book ID: 104134600
• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 754 KB
• Volume: 329
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/s0016-0032(92)90040-n

✦ Synopsis

The optimal control of a class of self-adjoint distributed parameter systems using a combined open-closed loop control mechanism is considered. In particular, the proposed method involves the application qf a finite number of' actuators and sensors to dampen actkell the undesirable transient vibrations qf a rectangular plate. Necessary and s@cient conditions fi)r optimality of the open-loop control are obtained by a variational approach in conjunction with the conrexivity qf the quadratic pecformance index as a system qf inte~qral equations. Parameters describing the closed-loop control are determined numerically by a minimization algorithm. Numerical results.for a simply-supportedplate aregitlen to illustrate the eflktiveness qf the proposed control.