Stabilizability and a separation principle for periodic orbits

✍ Scribed by V. Sundarapandian

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 386 KB
• Volume: 15
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(01)00108-2

✦ Synopsis

In this paper, we derive a result for stabilizability and a separation principle for periodic orbits. First, using degree theory, we derive a necessary condition for local asymptotic stabilizability of periodic orbits. This condition is similar to the famous Brockett's necessary condition (1983) for local asymptotic stabilizability for equilibria. Next, we derive a separation principle for periodic orbits. Our separation principle states that if a state feedbsck system defined in the neighborhood of a periodic orbit is asymptotically stabilizable and if an exponentially good state estimator is known, then the composite state feedback-state estimator scheme is locally orbitally asymptotically stable.