Robust time-delay estimation for nonlinear systems using inexact output
© 2018 IEEE. This paper considers time-delay estimation problem involving nonlinear dynamic systems using inexact system output. We first propose a new robust time-delay formulation, in which the variance of the least-squares error function is minimized subject to a constraint specifying the sacrifi...
| Main Authors: | , , , , |
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| Format: | Conference Paper |
| Published: |
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/72904 |
| Summary: | © 2018 IEEE. This paper considers time-delay estimation problem involving nonlinear dynamic systems using inexact system output. We first propose a new robust time-delay formulation, in which the variance of the least-squares error function is minimized subject to a constraint specifying the sacrifice from the optimal expectation of the classical time- delay estimation problem. Then, we show that the gradients of the cost and/or constraint functions in the classical and robust estimation problems can be computed by sequently solving the state system forward in time and auxiliary time- delay systems backward in time. On this basis, new gradient-based optimization algorithms are developed to solve the estimation problems. Finally, a numerical example is used to verify the effectiveness of the proposed algorithms. |
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