Output Sensitivity Analysis of Time-invariant Linear Systems Using Polynomial Series |
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| Institution: | 1. Department of Energy Sciences, Lund University, Lund 221 00, Sweden;2. IDMEC, Mechanical Engineering Department, Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal;1. Université Libre de Bruxelles, Ecole Polytechnique de Bruxelles, Aero-Thermo-Mechanics Laboratory, Bruxelles, Belgium;2. Ecole Centrale Paris, Grande Voie des Vignes, 92295 Chatenay-Malabry, France;3. CNRS, UPR 288 Ç Laboratoire d’Energétique moléculaire et macroscopique, combustion, Grande Voie des Vignes, 92295 Chatenay-Malabry, France;4. Department of Chemical Engineering, University of Utah, Salt Lake City, UT, 84112, USA |
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| Abstract: | A new approximate method is proposed for the determination of the output sensitivity function of linear time-invariant systems using polynomial series expansions. The novelties of the proposed method are the use of the operational matrix of differentiation for the derivation of the algebraic equations approximating the differential equation, and the use of the operational matrix of polynomial series transformation, for the simplification of the computer code. The approach appears to be more direct and computationally simple than other presently known techniques. |
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