Title :
A New Approach to Design Interval Observers for Linear Systems
Author :
Cacace, Filippo ; Germani, Alfredo ; Manes, Costanzo
Author_Institution :
Univ. Campus Bio-Medico di Roma, Rome, Italy
Abstract :
Interval observers are dynamic systems that provide upper and lower bounds of the true state trajectories of systems. In this work we introduce a technique to design interval observers for linear systems affected by state and measurement disturbances, based on the Internal Positive Representations (IPRs) of systems, that exploits the order preserving property of positive systems. The method can be applied to both continuous and discrete time systems.
Keywords :
continuous time systems; discrete time systems; linear systems; observers; IPR; continuous time system; discrete time system; dynamic systems; internal positive representations; interval observer design; linear systems; lower bounds; measurement disturbances; positive systems; state disturbances; state trajectories; upper bounds; Eigenvalues and eigenfunctions; Intellectual property; Linear matrix inequalities; Linear systems; Observers; Trajectory; Vectors; Linear system observers; Positive systems; Uncertain systems; positive systems; uncertain systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2014.2359714
