A Computational Approach to Parameter Identification of Spatially Distributed Nonlinear Systems with Unknown Initial Conditions

Kasać, Josip and Milić, Vladimir and Stepanić, Josip and Mester, Gyula (2014) A Computational Approach to Parameter Identification of Spatially Distributed Nonlinear Systems with Unknown Initial Conditions. = A Computational Approach to Parameter Identification of Spatially Distributed Nonlinear Systems with Unknown Initial Conditions. In: IEEE Symposium Series on Computational Intelligence, 9-12.12.2014., Orlando, SAD.

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Official URL: https://doi.org/10.1109/RIISS.2014.7009170

Abstract

In this paper, a high-precision algorithm for parameter identification of nonlinear multivariable dynamic systems is proposed. The proposed computational approach is based on the following assumptions: a) system is nonlinearly parameterized by a vector of unknown system parameters ; b) only partial measurement of system state is available ; c) there are no state observers ; d) initial conditions are unknown except for measurable system states. The identification problem is formulated as a continuous dynamic optimization problem which is discretized by higher-order Adams method and numerically solved by a backward-in-time recurrent algorithm which is similar to the backpropagation-through-time (BPTT) algorithm. The proposed algorithm is especially effective for identification of homogenous spatially distributed nonlinear systems what is demonstrated on the parameter identification of a multi-degree-of-freedom torsional system with nonlinearly parameterized elastic forces, unknown initial velocities and positions measurement only.

Item Type: Conference or Workshop Item (Lecture)
Keywords (Croatian): Spatially Distributed Nonlinear Systems, Parameter Identification, Dynamic Optimization
Subjects: TECHNICAL SCIENCE > Mechanical Engineering
Divisions: 800 Department of Quality > 820 Chair of Non-Destructive Testing
900 Department of Robotics and Production System Automation > 910 Chair of Engineering Automation
Indexed in Web of Science: Yes
Indexed in Current Contents: No
Citations JCR: 2 (12.09.2018.)
Date Deposited: 07 Jul 2016 08:03
Last Modified: 13 Dec 2018 15:21
URI: http://repozitorij.fsb.hr/id/eprint/6217

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