Abstract
The article studies the reachable set estimation problem for large-scale switched systems with multimodes that have mixed switching signals consisting of both dwell time switching and arbitrary switching. First, based on a novel decentralized time-scheduled Lyapunov function method, the method of the reachable set estimation of large-scale switched systems is developed. By means of the novel Lyapunov function especially constructed for large-scale switched systems, a sufficient condition is derived to ensure that the systems state is constrained in the prescribed set under the mixed dwell time switching and arbitrary switching. The concept of a decentralized control synthesis is then introduced and a time-varying decentralized state feedback controller is developed to ensure the state trajectories of closed-loop large systems are confined in a prescribed set. Finally, some examples are provided to illustrate our results.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 6909-6930 |
| Number of pages | 22 |
| Journal | International Journal of Robust and Nonlinear Control |
| Volume | 30 |
| Issue number | 16 |
| DOIs | |
| State | Published - Nov 10 2020 |
Keywords
- decentralized control synthesis
- dwell time switching
- large-scale switched systems
- reachable set estimation
ASJC Scopus subject areas
- Control and Systems Engineering
- Chemical Engineering(all)
- Biomedical Engineering
- Aerospace Engineering
- Mechanical Engineering
- Industrial and Manufacturing Engineering
- Electrical and Electronic Engineering