Control of Nonlinear and LPV Systems: Interval Observer-Based Framework

The problem of output stabilization of a class of nonlinear systems subject to parametric and signal uncertainties is studied. First, an interval observer is designed estimating the set of admissible values for the state. Next, it is proposed to design a control algorithm for the interval observer p...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2013-03, Vol.58 (3), p.773-778
Main Authors: Efimov, D., Raissi, T., Zolghadri, A.
Format: Article
Language:English
Subjects:
Automatic
Convergence
Design engineering
Dynamical systems
Engineering Sciences
Interval estimation
Intervals
linear-parameter-varying (LPV) systems and control
Mathematical analysis
Nonlinear dynamics
nonlinear stabilization
Nonlinear systems
Observers
Symmetric matrices
Time varying systems
Vectors
Vectors (mathematics)
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Summary:The problem of output stabilization of a class of nonlinear systems subject to parametric and signal uncertainties is studied. First, an interval observer is designed estimating the set of admissible values for the state. Next, it is proposed to design a control algorithm for the interval observer providing convergence of interval variables to zero, that implies a similar convergence of the state for the original nonlinear system. An application of the proposed technique shows that a robust stabilization can be performed for linear time-varying and linear-parameter-varying (LPV) systems without assumption that the vector of scheduling parameters is available for measurements. Efficiency of the proposed approach is demonstrated through two examples.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2013.2241476