Stabilization of linear impulsive systems under dwell-time constraints: Interval observer-based framework

The problem of interval observer design is studied for a class of linear impulsive systems. Ranged and minimum dwell-time constraints are considered under detectability assumption. The first contribution of this paper lies in designing interval observers for linear impulsive systems under ranged and...

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Bibliographic Details
Published in:European journal of control Vol. 42; pp. 1 - 14
Main Authors: Degue, Kwassi H., Efimov, Denis, Richard, Jean-Pierre
Format: Journal Article
Language:English
Published: Philadelphia Elsevier Ltd 01.07.2018
Elsevier Limited
Elsevier
Subjects:
Automatic
Commercial vehicles
Computer simulation
Dimensional stability
Dynamic stability
Engineering Sciences
Error analysis
Estimates
Fault detection
Fault tolerance
Fuel cells
Linear matrix inequalities
Mathematical analysis
Matrix methods
Military vehicles
Observers
Power splitters
Velocity
Russia
ISSN:0947-3580, 1435-5671
Online Access:Get full text
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Summary:The problem of interval observer design is studied for a class of linear impulsive systems. Ranged and minimum dwell-time constraints are considered under detectability assumption. The first contribution of this paper lies in designing interval observers for linear impulsive systems under ranged and minimum dwell-time constraints, and investigating positivity of the estimation error dynamics in addition to stability. Several observers are designed oriented on different conditions of positivity and stability for estimation error dynamics. The boundedness of the estimation error (input-to-state stability property) and the observer stability conditions are stated as infinite-dimensional linear programming problems. Next, an output stabilizing feedback design problem is discussed, where the stability is checked using linear matrix inequalities (LMIs). Efficiency of the proposed approach is demonstrated by computer simulations for a commercial electric vehicle equipped with a low power range extender fuel cell, a bouncing ball, an academic linear impulsive system and for Fault Detection and Isolation (FDI) and Fault-Tolerant Control (FTC) of a power split device with clutch for heavy-duty military vehicles.
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content type line 14
ISSN:0947-3580
1435-5671
DOI:10.1016/j.ejcon.2018.01.001