We address the problem of controlling a linear system with unknown parameters ranging over a continuum by means of switching among a finite family of candidate controllers. We present a new hysteresis-based switching logic, designed specifically for this purpose, and derive a bound on the number of switches produced by this logic on an arbitrary time interval. The resulting switching control algorithm is shown to provide stability and robustness to arbitrary bounded noise and disturbances and sufficiently small unmodeled dynamics.
- Linear system
- Modeling uncertainty
- Supervisory control
- Switching logic
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering