H∞ Switched-Gain Based Observer vs Nonlinear Transformation Based Observer for a Vehicle Tracking Model

Mohite, S.; Zemouche, Ali; Haddad, Mohammed; Alma, Marouane; Delattre, Cédric; Singh, Navdeep

doi:10.1016/j.ifacol.2021.10.340

Cited by 2 publications

(2 citation statements)

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“…shivaraj.mohite@mv.rptu.de in [10], [7], [11] and [9]. Recently, the authors of [12] had established a new matrix-multiplier-based LMI approach for continuous-time nonlinear observer design. The LMI condition presented in [12] is less conservative than the one shown in [2].…”

Section: Introductionmentioning

confidence: 99%

“…Recently, the authors of [12] had established a new matrix-multiplier-based LMI approach for continuous-time nonlinear observer design. The LMI condition presented in [12] is less conservative than the one shown in [2]. It inspires the authors to derive a new LMI condition for the development of nonlinear observers for discrete-time systems through the utilisation of new matrix multipliers, reformulated Lipschitz property and Young inequalities.…”

Section: Introductionmentioning

confidence: 99%

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A New Matrix Multiplier-Based LMI Approach for Nonlinear Observers

Mohite

Alma

Zemouche

2022

2022 30th Mediterranean Conference on Control and Automation (MED)

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This letter focuses on the H ∞ observer design for a class of nonlinear discrete systems under the presence of measurement noise or external disturbances. A novel Linear Matrix Inequality (LMI) condition is developed in this method through the utilisation of the reformulated Lipschitz property, a new variant of Young inequality and the well-known Linear Parameter Varying (LPV) approach. One of the key components of the proposed LMI is the generalised matrix multipliers. The deliberate use of these multipliers enables us to introduce more numbers of decision variables inside LMIs than the one illustrated in the literature. It aids in adding some extra degrees of freedom from a feasibility point of view, thus enhancing the LMI conditions. Thus, the proposed LMIs are less conservative than existing ones. Later on, the effectiveness of the developed LMIs and observer is highlighted through the numerical example and an application of state of charge (SoC) estimation in the Li-ion battery model.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A New Matrix Multiplier-Based LMI Approach for Nonlinear Observers

Mohite

Alma

Zemouche

2022

2022 30th Mediterranean Conference on Control and Automation (MED)

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Switched Observer Design for a Class of Non-Linear Systems

Yupanqui Tello,

Coutinho,

Mendoza Rabanal

2024

ASI

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This paper is concerned with the switched observer design for a class of systems subject to locally Lipschitz non-linearities. By performing a suitable description of the estimation error dynamics into a linear parameter varying (LPV) system representation, sufficient conditions for the existence of a switching output injection gain are proposed such that the asymptotic stability of the estimation error is guaranteed. These conditions can be conveniently expressed by means of linear matrix inequalities (LMIs), which are easily computationally tractable. A numerical example is provided to show the favorable performance achieved by the proposed observer, which can be applied to a large class of non-linear systems.

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H∞ Switched-Gain Based Observer vs Nonlinear Transformation Based Observer for a Vehicle Tracking Model

Cited by 2 publications

References 8 publications

A New Matrix Multiplier-Based LMI Approach for Nonlinear Observers

A New Matrix Multiplier-Based LMI Approach for Nonlinear Observers

Switched Observer Design for a Class of Non-Linear Systems

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