Control of a fourth-order linear system with mixed constraints

✍ Scribed by I.M. Anan'yevskii

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 489 KB
• Volume: 64
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(00)00117-9

✦ Synopsis

A controlled fourth-order linear mechanical system, containing a vibrating member, is considered. Geometric constraints are imposed on the control and phase variables. The problem of bringing the system to a given state in a finite time is solved. The solution employs an approach based on Kalman's general scheme for constructing controls as linear combinations of characteristic motions of the uncontrolled system. Results of a numerical simulation of the dynamics of a closed system are presented.