Title
Disturbance-observer-based control design for a class of uncertain systems with intermittent measurement.
Abstract
The robust control problem of a class of uncertain systems subject to intermittent measurement as well as external disturbances is considered. The disturbances are supposed to be generated by an exogenous system, while the state information is assumed to be available only on some nonoverlapping time intervals. A composite design consisting of an intermittent state feedback controller augmented by a disturbance compensation term derived from a disturbance observer is formulated. Unlike the conventional disturbance observers, the proposed disturbance observer is modelled by a switched impulsive system, which makes use of the intermittent state data to estimate the disturbances. Stability analysis of the resulting closed-loop system is performed by applying a piecewise time-dependent Lyapunov function. Then a sufficient condition for the existence of the proposed composite controllers is derived in terms of linear matrix inequalities (LMIs). The controller and observer gains can be achieved by solving a set of LMIs. Further, a procedure to limit the norms of the controller and observer gains is given. Finally, an illustrative example is presented to demonstrate the validity of the results.
Year
DOI
Venue
2017
10.1016/j.jfranklin.2017.06.018
Journal of the Franklin Institute
Field
DocType
Volume
Lyapunov function,Mathematical optimization,Control theory,Full state feedback,Matrix (mathematics),Control theory,Uncertain systems,Observer (quantum physics),Robust control,Piecewise,Mathematics
Journal
354
Issue
ISSN
Citations 
13
0016-0032
4
PageRank 
References 
Authors
0.40
10
3
Name
Order
Citations
PageRank
Wu-Hua Chen186958.24
Kui Ding240.40
Xiaomei Lu31248.38