Title
Certainty-Equivalence Feedback Design With Polynomial-Type Feedbacks Which Guarantee ISS
Abstract
The purpose of this note is to establish a certainty- equivalence feedback design for inverse optimally controlled affine systems. In particular, it is shown that a class of polynomial-type state feedbacks in conjunction with a globally asymptotically convergent observer leads to a globally asymptot- ically stable closed-loop. A key step in the proposed certainty- equivalence feedback design procedure is the identification of a new class of polynomial-type inverse optimal feedbacks which guarantees input-to-state stability with respect to measurement errors. As a consequence, the proposed certainty-equivalence feedback design has the important feature that the state feedback is allowed to contain polynomial nonlinearities of arbitrarily high degree in the unmeasured states. This feature is illustrated on an example.
Year
DOI
Venue
2007
10.1109/TAC.2007.894538
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Polynomials,State feedback,Optimal control,Asymptotic stability,Control systems,Measurement errors,Automatic control,Output feedback,Robust control,Control theory
Mathematical optimization,Optimal control,Polynomial,Separation principle,Control theory,Exponential stability,Equivalence class,Observer (quantum physics),System identification,Mathematics,Stability theory
Journal
Volume
Issue
ISSN
52
4
0018-9286
Citations 
PageRank 
References 
7
0.66
7
Authors
3
Name
Order
Citations
PageRank
Christian Ebenbauer120030.31
Tobias Raff2363.79
Frank Allgower3979.63