Abstract | ||
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In this paper we propose a certainty equivalence principle for the stabilization of nonlinear systems via measurement feedback, which clarifies the connection between the solution of a couple of Hamilton Jacobi inequalities (HJIs) and the design constraints imposed on the control and the estimation error fed back in the control loop by the observer itself. Once a solution of these HJIs has been found a measurement feedback controller can be directly implemented. This controller has different features with respect to classical controllers: in classical control schemes an observer consists of a “copy” of the system plus a term proportional to the error between the actual measurement and the “estimated” measurement. Here, we allow a term which is a nonlinear function of this error. This result is particularly powerful in conjunction with step-by-step strategies as illustrated by an application to feedforward systems. |
Year | DOI | Venue |
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2006 | 10.1016/j.sysconle.2005.07.008 | Systems & Control Letters |
Keywords | Field | DocType |
Nonlinear systems,Measurement feedback,Control constraints | Error function,Control theory,Mathematical optimization,Nonlinear system,Nonlinear control,Control theory,Control system,Observer (quantum physics),System identification,Mathematics,Feed forward | Journal |
Volume | Issue | ISSN |
55 | 5 | 0167-6911 |
Citations | PageRank | References |
2 | 0.49 | 3 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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Stefano Battilotti | 1 | 136 | 42.34 |