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) |
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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