Nonlinear Circle-Criterion Observer Design for an Electrochemical Battery Model

Blondel, Pierre; Raël, Stéphane; Benjamin, Sébastien; Desprez, Philippe

doi:10.1109/tcst.2017.2782787

Cited by 17 publications

(26 citation statements)

References 23 publications

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“…In order to use ψ k+1 defined in (38), we need to be able to make (at most) θ + 1 recursive computations at each discrete step k. Note, however, that in this case, the Lyapunov function decreases even if we perform less than θ + 1 steps. Therefore, in case of limited computational power, it is still interesting…”

Section: Multi-step Solutionmentioning

confidence: 99%

“…4) Design the function M k+1 as in (31), and select γ d > 0 small enough. 5) Design the function ψ k+1 as in (30) with ψ k+1,i defined in (35); alternatively, if outer semi-continuity is sought, select ψ k+1 as in (38), with ψ k+1 defined in (37) and ψ k+1,i in (36). 6) Select θ large enough and run the new observer (25) with Gm defined as in ( 27) and ψ k+1 as in the previous step, and with an initial condition x(0) ∈ X .…”

Section: Remarkmentioning

confidence: 99%

“…To give an example, when the concentrations of Lithium-ion in the electrodes of an electrochemical battery are estimated, e.g. [38], it may occur that the estimated concentrations generated by the observer are negative for some time, which is physically impossible. This is the case in general for positive systems (see, e.g., [39]).…”

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confidence: 99%

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Constrained State Estimation for Nonlinear Systems: A Redesign Approach Based on Convexity

Astolfi

Bernard

Marconi

2022

IEEE Trans. Automat. Contr.

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HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

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Section: Multi-step Solutionmentioning

confidence: 99%

Section: Remarkmentioning

confidence: 99%

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Constrained State Estimation for Nonlinear Systems: A Redesign Approach Based on Convexity

Astolfi

Bernard

Marconi

2022

IEEE Trans. Automat. Contr.

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“…L represents the dimension of the state variable and its value is 3. Its relationship satisfies λ+L=3, the calculation process of which is shown in Equation (14).…”

Section: Iterative Calculation With Time-varying Internal Resistancementioning

confidence: 99%

“…Since the battery charged state is a physical quantity that cannot be measured directly [10,11], it should be estimated by the information such as voltage, current, internal resistance and temperature that are related to the operating state of the lithium ion battery packs, so its prediction purpose can be turned into a model parameter reorganization problem according to its special impact on the charged state estimation accuracy [12]. Some adaptive estimation methods have been proposed to be suitable for different application backgrounds of the lithium ion batteries [13][14][15][16], including electric vehicles, substations, smart grids and financial uninterruptible power systems. These approaches can be divided into three categories: simple calculation, data-driven and battery-based modeling methods [17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

A novel charged state prediction method of the lithium ion battery packs based on the composite equivalent modeling and improved splice Kalman filtering algorithm

Wang

Fernandez

et al. 2020

Journal of Power Sources

150

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As the unscented Kalman filtering algorithm is sensitive to the battery model and susceptible to the uncertain noise interference, an improved iterate calculation method is proposed to improve the charged state prediction accuracy of the lithium ion battery packs by introducing a novel splice Kalman filtering algorithm with adaptive robust performance. The battery is modeled by composite equivalent modeling and its parameters are identified effectively by investigating the hybrid power pulse test. The sensitivity analysis is carried out for the model parameters to obtain the influence degree on the prediction effect of different factors, providing a basis of the adaptive battery characterization. Subsequently, its implementation process is carried out including model building and adaptive noise correction that are perceived by the iterate charged state calculation. Its experimental results are analyzed and compared with other algorithms through the physical tests. The polarization resistance is obtained as Rp = 16.66 mΩ and capacitance is identified as Cp=13.71 kF. The ohm internal resistance is calculated as Ro = 68.71 mΩ and the charged state has a prediction error of 1.38% with good robustness effect, providing a foundational basis of the power prediction for the lithium ion battery packs.

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Observer design for continuous-time dynamical systems

Bernard

Andrieu

Astolfi

2022

Annual Reviews in Control

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We review the main design techniques of state observer design for continuous-time dynamical systems, namely algorithms which reconstruct online the full information of a dynamical process on the basis of partially measured data. Starting from necessary conditions for the existence of such asymptotic observers, we classify the available methods depending on the detectability/observability assumptions they require. We show how each class of observer relies on transforming the system dynamics in a particular normal form which allows the design of an observer, and how each observability condition guarantees the invertibility of its associated transformation and the convergence of the observer. Finally, some implementation aspects and open problems are briefly discussed.

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Nonlinear Circle-Criterion Observer Design for an Electrochemical Battery Model

Cited by 17 publications

References 23 publications

Constrained State Estimation for Nonlinear Systems: A Redesign Approach Based on Convexity

Constrained State Estimation for Nonlinear Systems: A Redesign Approach Based on Convexity

A novel charged state prediction method of the lithium ion battery packs based on the composite equivalent modeling and improved splice Kalman filtering algorithm

Observer design for continuous-time dynamical systems

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