Title
Observer-Based Output Feedback Control Design For Systems With Incrementally Conic Nonlinearities
Abstract
This paper investigates the observer-based output feedback control design problem for a class of nonlinear systems, where the nonlinear time-varying terms satisfy an incremental quadratic inequality that is parameterized by a set of multiplier matrices. The incremental quadratic constraints include a broad class of incrementally conic nonlinearities, such as the globally Lipschitz nonlinearity, the sector bounded nonlinearity, and the polytopic Jacobian nonlinearity, as special cases. We present LMI-based sufficient conditions for the quadratic stability of the closed-loop system where the block diagonal parameterization and the block anti-triangular parameterization of the multiplier matrices are discussed separately. A simulation example is given to illustrate the theoretical results.
Year
Venue
Field
2018
2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC)
Nonlinear system,Matrix (mathematics),Control theory,Computer science,Quadratic equation,Multiplier (economics),Lipschitz continuity,Conic section,Observer (quantum physics),Bounded function
DocType
ISSN
Citations 
Conference
0743-1619
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Xiangru Xu100.68
Behçet Açikmese24115.88
M. Corless326749.21
Hossein Sartipizadeh442.91