Partial observer normal form for nonlinear system

Tami, Ramdane; Zheng, Gang; Boutat, Driss; Aubry, Didier; Wang, Haoping

doi:10.1016/j.automatica.2015.10.041

Cited by 14 publications

(12 citation statements)

References 30 publications

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“…Therefore, a more intuitive idea is to construct distributed nonlinear observers by looking for the method of nonlinear observability decomposition. Fortunately, Partial Observable Canonical Form (POCF) [40][41][42][43] put forward in differential geometry is one of the mature theories in nonlinear observable decomposition. This article, motivated by POCF, try to give distributed observers to reconstruct the system states for a class of nonlinear system by the means of differential geometry.…”

Section: Plant Local Observermentioning

confidence: 99%

Distributed observers design for a class of nonlinear systems to achieve omniscience asymptotically via differential geometry

Wang

et al. 2021

Intl J Robust & Nonlinear

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Distributed observers are the framework of fusing observed data by constructing a cooperative observer network. This article renders a scheme of distributed observers for a class of nonlinear system. With this scheme, each local nonlinear observer in the cooperative network can estimate the whole states of the underlying system by their own output measurements and information obtained from their neighbor via communication network. The proposed distributed observers are constructed with Partial Observable Canonical Form, which is a technology studied in differential geometry. The common observable subspace pruning and the weight matrix with spatial transformation are innovatively developed to solve the problem that each local observer is not in the same space. The sufficient conditions are proposed to guarantee the achievement of asymptotical omniscience of distributed nonlinear observers. Furthermore, our distributed observers can also be applied to linear systems and systems with some zero outputs. In addition, comparing with some existing methods of distributed nonlinear observers, our method admits some unbounded systems. Four simulations including multi‐Wen‐bridge oscillator systems, multi‐manipulators systems, unbounded nonlinear system and a linear system are employed to show the validity of the main result.

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Section: Plant Local Observermentioning

confidence: 99%

Distributed observers design for a class of nonlinear systems to achieve omniscience asymptotically via differential geometry

Wang

et al. 2021

Intl J Robust & Nonlinear

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“…Theorem 2. Given the system in (1) and the controller defined in (4)- (6) subject to (8), if ||x(0)|| ∞ < x , andx (0) in the output predictor is chosen such that ‖x (0)‖ ∞ <x, ‖̃(0)‖ ∞ ≤̃, and ‖z (0)‖ ∞ ≤z, then we have…”

Section: Stability and Tracking Analysismentioning

confidence: 99%

“…Researchers have done many works on handling with nonlinear systems using observers. For example, a fuzzy adaptive observer combined with backstepping design techniques is developed for a class of multiple‐input–multiple‐output nonlinear systems with unmeasured states in the work of Tong et al In the work of Tami et al, an estimation problem for a class of partially observable nonlinear systems is investigated, where the existence of a change of coordinates, which can transform the studied system into the proposed partial observer normal form, needs to be guaranteed. A sliding‐mode observer is designed to estimate the coupled disturbances and system states of nonlinear systems in the work of Sun et al In other works, an observer‐based adaptive fuzzy controller is used to handle nonlinear systems with different kinds of unknowns.…”

Section: Introductionmentioning

confidence: 99%

Handling of nonlinear systems using filtered high‐gain output feedback controller

Liu

Shih

et al. 2018

Intl J Robust & Nonlinear

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Summary This paper develops a filtered high‐gain output feedback controller for a class of nonlinear systems in the presence of unknown state‐dependent and time‐varying nonlinearities. It considers that the nonlinearities satisfy a semiglobal Lipschitz condition. The presence of high‐gain observer in the adaptive law delivers a good property of disturbance rejection at the cost of peaking phenomenon as well as reduced robustness. The addition of filtering mechanism in the control law overcomes the cons of high‐gain observer and makes it robust to uncertainties in modeling the nonlinear functions. In this way, the filtered high‐gain output feedback controller realizes nonlinear time‐varying uncertainty cancelation and good tracking delivering with guaranteed robustness. The simulation results demonstrate the high efficiency of our novel design for handling of a class of nonlinear systems in the presence of time‐varying uncertainty when compared with saturated control signal.

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“…As for the forced nonlinear system, there are also lots of achievements, such as Krener and Respondek (1985), Jo and Seo (2002) and Tami et al (2016). They take into account the nonlinear system in the form of _…”

Section: Introductionmentioning

confidence: 99%

Partial observer canonical form for multi-output nonlinear forced system: a new method

Wang

et al. 2020

JIMSE

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PurposeThe purpose of this paper is to investigate the design method of partial observer canonical form (POCF), which is one of the important research tools for industrial plants.Design/methodology/approachMotivated by the two-steps method proposed in Xu et al. (2020), this paper extends this method to the case of Multi-Input Multi-Output (MIMO) nonlinear system. It decomposes the original system into two subsystems by observable decomposition theorem first and then transforms the observable subsystem into OCF. Furthermore, the necessary and sufficient conditions for the existing of POCF are proved.FindingsThe proposed method has a wide range of applications including completely observable nonlinear system, noncompletely observable nonlinear system, autonomous nonlinear system and forced nonlinear system. Besides, comparing to the existing results (Saadi et al., 2016), the method requires less verified conditions.Originality/valueThe new method concerning design POCF has better plants compatibility and less validation conditions.

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Partial observer normal form for nonlinear system

Cited by 14 publications

References 30 publications

Distributed observers design for a class of nonlinear systems to achieve omniscience asymptotically via differential geometry

Distributed observers design for a class of nonlinear systems to achieve omniscience asymptotically via differential geometry

Handling of nonlinear systems using filtered high‐gain output feedback controller

Partial observer canonical form for multi-output nonlinear forced system: a new method

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