Interconnected continuous-time switched systems: Robust stability and stabilization

✍ Scribed by Magdi S. Mahmoud; Fouad M. AL-Sunni

• Publisher: Elsevier
• Year: 2010
• Tongue: English
• Weight: 464 KB
• Volume: 4
• Category: Article
• ISSN: 1751-570X
• DOI: 10.1016/j.nahs.2010.01.001

✦ Synopsis

This paper develops a decentralized approach to the robust stability and stabilization problems of a class of interconnected continuous-time switched systems with conebounded uncertainties and nonlinearities. This class consists of coupled nominally linear subsystems with unknown-but-bounded time-varying state-delay. We showed that multicontroller switched schemes provide an effective and powerful mechanism to cope with highly complex systems with large. We developed a delay-dependent decentralized structure that guarantees global asymptotic stability with local disturbance attenuation on the subsystem level. Then, we constructed decentralized switched control schemes based on state-feedback to ensure stabilizability of the global system with L 2 -performance bound. The theoretical developments are illustrated on a representative example.