Switching LTI Models via Haar Transform for Non-Stationary Dynamic Systems Modeling
This paper presents a new technique for modeling Linear Parameter Varying (LPV) and quasi-LPV systems, which can be used to represent a wide range of nonlinear dynamic systems, by a set of switched Linear Time Invariant (LTI) models. The switched LPV model is obtained by minimizing, for frozen param...
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| Veröffentlicht in: | Revista IEEE América Latina 2012-03, Vol.10 (2), p.1496-1503 |
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| creator | Oliveira de Araujo, Leonardo Ferreira Galdino, Juraci Pellanda, Paulo Cesar |
| description | This paper presents a new technique for modeling Linear Parameter Varying (LPV) and quasi-LPV systems, which can be used to represent a wide range of nonlinear dynamic systems, by a set of switched Linear Time Invariant (LTI) models. The switched LPV model is obtained by minimizing, for frozen parameter values, the error between its dynamics and that of the original system. The proposed method is based on the use of Haar Transform, particularly on its properties of approximating any function by a piecewise constant function and on its ability to concentrate energy in few coefficients in the transform domain. Numerical results presented here show the good performance of the proposed technique. |
| doi_str_mv | 10.1109/TLA.2012.6187592 |
| format | Article |
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| subjects | Approximation Bills of materials Dynamical systems Frozen Haar Transform Invariants Mathematical analysis Mathematical models Modeling Nonlinear Control Nonlinear dynamical systems Nonlinear dynamics Numerical models Robustness Switches Transforms |
| title | Switching LTI Models via Haar Transform for Non-Stationary Dynamic Systems Modeling |
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