Title | ||
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Certainty-Equivalence Feedback Design With Polynomial-Type Feedbacks Which Guarantee ISS |
Abstract | ||
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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 Ebenbauer | 1 | 200 | 30.31 |
Tobias Raff | 2 | 36 | 3.79 |
Frank Allgower | 3 | 97 | 9.63 |