Adaptive observers for nonlinearly parameterized class of nonlinear systems

Farza, M.; M’Saad, M.; Maatoug, T.; Kamoun, Mohamed

doi:10.1016/j.automatica.2009.06.008

Cited by 197 publications

(207 citation statements)

References 26 publications

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“…Therefore, a state observer design method is of great importance to the implementation of AMD control system in high-rise structures. The references showed the state observers can solve the problem for linear uncertain systems [8][9][10] and nonlinear systems [11][12][13][14][15]. Compared with displacement and velocity, [16] shows that the acceleration signal is easier to be measured and control system based on acceleration feedback is more robust.…”

Section: Introductionmentioning

confidence: 99%

An Observer-Based Controller with a LMI-Based Filter against Wind-Induced Motion for High-Rise Buildings

Chen

Teng

et al. 2017

Shock and Vibration

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Active mass damper (AMD) control system is proposed for high-rise buildings to resist a strong wind. However, negative influence of noise in sensors impedes the application of AMD systems in practice. To reduce the adverse influence of noise on AMD systems, a Kalman filter and a linear matrix inequality-(LMI-) based filter are designed. Firstly, a ten-year return period fluctuating wind load is simulated by mixed autoregressive-moving average (MARMA) method, and its reliability is tested by wind speed power spectrum and correlation analysis. Secondly, a designed state observer with different filters uses wind-induced acceleration responses of a high-rise building as the feedback signal that includes noise to calculate control force in this paper. Finally, these methods are applied to a numerical example of a high-rise building and an experiment of a single span four-storey steel frame. Both numerical and experimental results are presented to verify that both Kalman filter and LMI-based filter can effectively suppress noise, but only the latter can guarantee the stability of AMD parameters.

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Section: Introductionmentioning

confidence: 99%

An Observer-Based Controller with a LMI-Based Filter against Wind-Induced Motion for High-Rise Buildings

Chen

Teng

et al. 2017

Shock and Vibration

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“…This is a standard inverse problem, and many methods for finding solutions to this problem have been developed to date (sensitivity functions [20], splines [6], interval analysis [15], adaptive observers [19], [5], [9], [12], [24], [25], [8] and particle filters and Bayesian inference methods [1]). Despite these methods are based on different mathematical frameworks, they share a common feature: one is generally required to repeatedly find numerical solutions of nonlinear ordinary differential equations (ODEs) over given intervals of time (solve the direct problem).…”

Section: Introductionmentioning

confidence: 99%

Fast Sampling of Evolving Systems with Periodic Trajectories

Tyukin

Gorban

Tyukina

et al. 2016

Math. Model. Nat. Phenom.

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“…The battery model (10) does not admit the nonlinearly parameterized observer form in [51]. This paper mainly performs adaptive SoC estimation based on work [47]. The fact that this paper applies results of work [47] however shall not prevent one from applying other relevant works.…”

Section: A Nonlinear Geometric Observer Approachmentioning

confidence: 99%

“…Earlier work on adaptive observer with nonlinear parameterizations includes a local adaptive observer [51] based on a nonlinearly parameterized observer form, and a semi-global adaptive observer [47] etc. The battery model (10) does not admit the nonlinearly parameterized observer form in [51].…”

Section: A Nonlinear Geometric Observer Approachmentioning

confidence: 99%

“…The transformed system typical takes a certain special structure, e.g. observer form [31], [33], [39], block triangular forms [40]- [43], time scaled observer forms [34], [36], [44], and adaptive observer forms [45]- [47] etc. As the final step, observer design for a system admitting special coordinates can be readily performed, and usually have properties: reduced design complexity, straightforward determination of the observer gain, and simplified estimation error dynamics.…”

Section: A Nonlinear Geometric Observer Approachmentioning

confidence: 99%

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Adaptive Estimation of the State of Charge for Lithium-Ion Batteries: Nonlinear Geometric Observer Approach

Wang

Fang

Şahinoğlu

et al. 2015

IEEE Trans. Contr. Syst. Technol.

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Fang, H.; Sahinoglu, Z.; Wada, T.; Hara, S. TR2014-094 September 2014Abstract This paper considers the state of charge (SoC) and parameter estimation of lithium-ion batteries. Different from various prior arts, where estimation is based on local linearization of a nonlinear battery model, nonlinear geometric observer approach is followed to design adaptive observers for the SoC and parameter estimation based on nonlinear battery models. A major advantage of the proposed approach is the possibility to establish the exponential stability of the resultant error dynamics of state and parameter estimation. The proposed adaptive observers are shown to be robust with respect to unmodeled process uncertainties. Analysis also shows the design tradeoff between the convergence rate and the robustness of the estimation error dynamics with respect to the measurement noise. Simulation and experimental results validate the effectiveness and main advantages of the proposed approach. Error analysis is presented and explains the experimental results. IEEE Transactions on Control Systems TechnologyThis work may not be copied or reproduced in whole or in part for any commercial purpose. Permission to copy in whole or in part without payment of fee is granted for nonprofit educational and research purposes provided that all such whole or partial copies include the following: a notice that such copying is by permission of Mitsubishi Electric Research Laboratories, Inc.; an acknowledgment of the authors and individual contributions to the work; and all applicable portions of the copyright notice. Copying, reproduction, or republishing for any other purpose shall require a license with payment of fee to Mitsubishi Electric Research Laboratories, Inc. All rights reserved. Abstract-This paper considers the State of Charge (SoC) and parameter estimation of Lithium-ion batteries. Different from various prior art, where estimation is based on local linearization of a nonlinear battery model, nonlinear geometric observer approach is followed to design adaptive observers for the SoC and parameter estimation based on nonlinear battery models. A major advantage of the proposed approach is the possibility to establish the exponential stability of the resultant error dynamics of state and parameter estimation. The proposed adaptive observers are shown to be robust with respect to unmodeled process uncertainties. Analysis also shows the design tradeoff between the convergence rate and the robustness of the estimation error dynamics with respect to the measurement noise. Simulation and experimental results validate the effectiveness and main advantages of the proposed approach. Error analysis is presented and explains the experimental results.

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Adaptive observers for nonlinearly parameterized class of nonlinear systems

Cited by 197 publications

References 26 publications

An Observer-Based Controller with a LMI-Based Filter against Wind-Induced Motion for High-Rise Buildings

An Observer-Based Controller with a LMI-Based Filter against Wind-Induced Motion for High-Rise Buildings

Fast Sampling of Evolving Systems with Periodic Trajectories

Adaptive Estimation of the State of Charge for Lithium-Ion Batteries: Nonlinear Geometric Observer Approach

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