An LMI approach to synthesis subject to almost asymptotic regulation constraints |
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Authors: | Hakan Krolu Carsten W Scherer |
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Affiliation: | aDelft Center for Systems and Control, Delft University of Technology, Mekelweg 2, 2628 CD, Delft, The Netherlands |
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Abstract: | A multi-objective controller synthesis problem is considered in which an output is to be regulated approximately by assuring a bound on the steady-state peak amplification in response to an infinite-energy disturbance, while also guaranteeing a desired level of performance measured in terms of the worst-case energy gain from a finite-energy input to a performance output. Relying on a characterization of the controllers with which almost asymptotic regulation is accomplished, the problem of guaranteeing the desired level of performance is reduced to solving a system of linear matrix inequalities subject to a set of linear equality constraints. Based on the solution of this system, a procedure is outlined for the construction of a suitable controller whose order is equal to the order of the plant plus the order of the exogenous system. |
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Keywords: | Asymptotic regulation Disturbance attenuation Linear matrix inequalities (LMI) sciencedirect synthesis" target="_blank">com/cache/MiamiImageURL/B6V4X-4R05J15-2-BX/0?wchp=dGLzVzz-zSkWA" alt="View the MathML source" title="View the MathML source" align="absbottom" border="0" height=14 width="30"/> synthesis |
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