On overtaking optimal tracking for linear systems

✍ Scribed by Hualin Tan; Wilson J. Rugh

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 468 KB
• Volume: 33
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(97)00108-4

✦ Synopsis

Optimal tracking problems involving a time-varying linear plant and infinite-horizon quadratic performance index are considered. In general, such problems yield an unbounded performance index for every control and thus must be interpreted as so-called overtaking optimal control problems. A completing-the-square argument is used to derive the overtaking optimal control for a general problem formulation, and various properties are discussed.