Optimal regulation of systems described by a countably infinite number of objects

✍ Scribed by S.M. Melzer; B.C. Kuo

• Book ID: 102990642
• Publisher: Elsevier Science
• Year: 1971
• Tongue: English
• Weight: 554 KB
• Volume: 7
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(71)90128-2

✦ Synopsis

For linear optimal regulators comprised of many objects, an infinite object theory, making use of the bilateral z transform, reveals the controller structure, and the theory may be applied to the string o.f vehicles problem.

Summary--A general theory for the optimal regulation of linear systems, comprised of infinite identical objects, is developed. The bilateral z transform generating function is used to eliminate the object indices, which leads to a Riccati equation in the z domain. The theory is applied to the string of vehicles problem where the number of vehicles is infinite. The proper structure for a typical vehicle controller and numerical results for the amount of feedback a typical vehicle requires from other vehicles are obtained.