Abstract
This paper develops a decentralized approach to the robust stability and stabilization problems of a class of interconnected continuous-time switched systems with cone-bounded uncertainties and nonlinearities. This class consists of coupled nominally linear subsystems with unknown-but-bounded time-varying state-delay. We showed that multi-controller 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 L2-performance bound. The theoretical developments are illustrated on a representative example.
| Original language | English |
|---|---|
| Pages (from-to) | 531-542 |
| Number of pages | 12 |
| Journal | Nonlinear Analysis: Hybrid Systems |
| Volume | 4 |
| Issue number | 3 |
| DOIs | |
| State | Published - Aug 2010 |
Bibliographical note
Funding Information:This research work is supported by KFUPM research project No. FT090015 .
Keywords
- Delay-dependent stability
- LMIs
- Lyapunov-Krasovskii functional
- Switched interconnected systems
- Switched state-feedback
ASJC Scopus subject areas
- Control and Systems Engineering
- Analysis
- Computer Science Applications