Analytical synthesis of reduced order observer for estimation of the bilinear dynamic system state

Dem’yanov, D. N.

doi:10.1109/icieam.2017.8076146

Cited by 2 publications

(1 citation statement)

References 13 publications

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“…In reference [22], based on a hybrid 2-D model of the switched stochastic systems, the observer was designed to solve the tracking control problem. The reduced-order state observers were studied in literature [23,24,25]. In references [26,27,28], distributed state observers were applied to the large scale systems.…”

Section: Introductionmentioning

confidence: 99%

A New Switched State Jump Observer for Traffic Density Estimation in Expressways Based on Hybrid-Dynamic-Traffic-Network-Model

Zha

Guo

et al. 2019

Sensors

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When faced with problems such as traffic state estimation, state prediction, and congestion identification for the expressway network, a novel switched observer design strategy with jump states is required to reconstruct the traffic scene more realistically. In this study, the expressway network is firstly modeled as the special discrete switched system, which is called the piecewise affine system model, a partition of state subspace is introduced, and the convex polytopes are utilized to describe the combination modes of cells. Secondly, based on the hybrid dynamic traffic network model, the corresponding switched observer (including state jumps) is designed. Furthermore, by applying multiple Lyapunov functions and S-procedure theory, the observer design problem can be converted into the existence issue of the solutions to the linear matrix inequality. As a result, a set of gain matrices can be obtained. The estimated states start to jump when the mode changes occur, and the updated value of the estimated state mainly depends on the estimated and the measured values at the previous time. Lastly, the designed state jump observer is applied to the Beijing Jingkai expressway, and the superiority and the feasibility are demonstrated in the application results.

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Section: Introductionmentioning

confidence: 99%

A New Switched State Jump Observer for Traffic Density Estimation in Expressways Based on Hybrid-Dynamic-Traffic-Network-Model

Zha

Guo

et al. 2019

Sensors

View full text Add to dashboard Cite

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Analytical Synthesis of External Perturbation Observer for Bilinear Dynamic System

Dem’yanov

2018

2018 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM)

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Analytical synthesis of reduced order observer for estimation of the bilinear dynamic system state

Cited by 2 publications

References 13 publications

A New Switched State Jump Observer for Traffic Density Estimation in Expressways Based on Hybrid-Dynamic-Traffic-Network-Model

A New Switched State Jump Observer for Traffic Density Estimation in Expressways Based on Hybrid-Dynamic-Traffic-Network-Model

Analytical Synthesis of External Perturbation Observer for Bilinear Dynamic System

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