A Supervised Switching Control Policy for LPV Systems With Inaccurate Parameter Knowledge

This technical note deals with the switched supervised control of linear parameter varying systems whose parameters values are online acquirable only with an arbitrarily large degree of uncertainty. The purpose is to define a switching policy inside a family of predesigned controllers so that the sw...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2012-06, Vol.57 (6), p.1527-1532
Main Authors: Jetto, L., Orsini, V.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control systems
Control theory. Systems
Controllers
Criteria
Exact sciences and technology
Linear parameter varying (LPV) system
Numerical stability
Observability
On-line systems
Policies
Stability
Stability criteria
supervised switched control problem (SSCP)
Switches
Switching
System theory
Uncertainty
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Description
Summary:This technical note deals with the switched supervised control of linear parameter varying systems whose parameters values are online acquirable only with an arbitrarily large degree of uncertainty. The purpose is to define a switching policy inside a family of predesigned controllers so that the switched closed-loop system result to be exponentially stable. The proposed switching logic is based on a performance-evaluation criterion which uses a measurable Lyapunov-like functional of the output. The exponential stability condition is derived imposing a sufficient long time interval over which the functional is decreasing. An interesting feature of the technical note is that no particular structure on the kind of uncertainty affecting the parameter values is assumed.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2011.2174690