Abstract
We describe a new switching logic, called "hierarchical hysteresis switching", and establish a bound on the number of switchings produced by this logic on a given interval. The motivating application is the problem of controlling a linear system with large modeling uncertainty. We consider a control algorithm consisting of a finite family of linear controllers supervised by the hierarchical hysteresis switching logic. In this context, the bound on the number of switching enables us to prove stability of the closed-loop system in the presence of noise, disturbances, and unmodeled dynamics.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 484-489 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 1 |
| DOIs | |
| State | Published - Dec 2000 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization