Two-stage strategy for simultaneous slewing and vibration suppression of flexible structures

✍ Scribed by Xiaojian Liu; Junjiro Onoda

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 801 KB
• Volume: 147
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(97)00027-3

✦ Synopsis

This paper presents an (open loop near-minimum-time solution for simultaneous slewing and vibration suppression of flexible stmctures. The problem is formulated as an open-loop, minimum-system energy and/or control effort optimal control problem in modal space. With parametric control law, a two-level problem-solving strategy is presented. In the first stage, a sequence of rigid mode-based time-optimal control problems is solved and the minimum maneuver time is found by gradually reducing the maneuver time until the solution converges. In the second stage, the optimal parameters of the control law are evaluated using nonlinear programming with prescribed performance index as its objective fuuction. The proposed strategy, through time-optimal control of the rigid mode combined with the parametric quadratic control of the elastic modes, determines the control profiles which give both minimum maneuver time and desired value of performance index. As an example, the optimal control of a slewing flexible beam is presented, and high performance slewing maneuver is achieved.