Admissible sets for polytopic linear systems subject to slowly-varying unobservable disturbances
Preprint, 2020

This note describes a method to calculate sets of safe initial conditions for polytopic linear systems subject to slowly-varying unobservable disturbances. Such sets are herein called admissible sets; invariant sets are admissible but admissible sets are not necessarily invariant. By examining conditions for admissible sets of this particular system class, we prove that admissible sets can be calculated by only considering a special property that we call \emph{the $\lambda$-proximal-contraction property} at the vertices of the set that bounds the slowly-varying disturbances. An academic example is used to illustrate how to apply the method, and a discussion follows that summarizes the main points.

Robust Positive Invariant

admissible sets

Constraint control

Author

magnus nilsson

Qamcom Research & Technology

Emil Klintberg

Chalmers, Electrical Engineering, Systems and control, Automatic Control

Ankit Gupta

Chalmers, Electrical Engineering, Systems and control, Mechatronics

Paolo Falcone

Chalmers, Electrical Engineering, Systems and control, Mechatronics

Subject Categories

Algebra and Logic

Control Engineering

Mathematical Analysis

Areas of Advance

Transport

More information

Created

3/11/2020