Robust observer-based control of switched nonlinear systems with quantized and sample output

Pérez, Carlos Herrera; Mera, Manuel

doi:10.14736/kyb-2015-1-0059

Cited by 2 publications

(2 citation statements)

References 42 publications

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“…In the aforementioned paper, an observer is proposed, assuming the switching function is known for the designing observer. A different observation problem is considered in Reference 18, where an observer‐based control is designed for nonlinear systems with quantized and sampled output, with known active mode. An adaptive observer is proposed in Reference 19, where the system is assumed to have a regular form (a sort of chain of integrators); also the switching function is used in the observer design.…”

Section: Introductionmentioning

confidence: 99%

Continuous state observability and mode reconstructability of switched nonlinear systems with unknown switching function

Bejarano

Mera

2020

Intl J Robust & Nonlinear

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Summary For switched nonlinear systems, the problems of continuous state observability and mode reconstructability are tackled, assuming the switching function is unknown. First, we give a condition under which the continuous state is observable and the active mode is reconstructible. Furthermore, we provide some relaxed conditions that guarantee the observability of the continuous state vector x(t); those conditions allow estimating x(t) even if the active mode cannot be reconstructed. The observability analysis is carried out by the study of an invariant manifold on which the outputs of two systems (fixing each pair of different modes) are equal. Moreover, by assuming that there is a known minimum dwell‐time, we propose a way of reconstructing the state vector and the switching function, provided the respective observability conditions are fulfilled. The reconstruction procedure involves the use of finite‐time homogeneous sliding mode differentiator. In a short section, we show how the obtained observability conditions match with the known structural ones for linear systems. Then, we see that the proposed state reconstruction scheme can also be applied to that particular class of systems. We point out that the original system is not required to be in any specific form, which may be an advantage of the estimation method proposed in this paper. By an academic example with simulations, we illustrate the analysis carried out along the paper and the respective reconstruction method.

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Section: Introductionmentioning

confidence: 99%

Continuous state observability and mode reconstructability of switched nonlinear systems with unknown switching function

Bejarano

Mera

2020

Intl J Robust & Nonlinear

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“…Thus, researchers have paid great enthusiasm and energy into sampled-data systems. Recently, there are three main approaches of sampled-data observer design for nonlinear systems, such as continuous designed and then discretization [1,7,16], design based on a discrete-time approximation model [18,33], continuous and discrete design [6,19,22,23,25,27,30]. Inspired by [4], we want to extend observer design for Lipschitz nonlinear systems with outputs sampled at discrete instants by the third method, i. e., continuous and discrete design.…”

Section: Introductionmentioning

confidence: 99%

Robust sampled-data observer design for Lipschitz nonlinear systems

Yu¹,

Shen²

2018

Kybernetika

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Robust observer-based control of switched nonlinear systems with quantized and sample output

Abstract: Robust Observer-based control of switched nonlinear systems with quantized and sampled output Kybernetika, Vol. 51 (2015)

Cited by 2 publications

References 42 publications

Continuous state observability and mode reconstructability of switched nonlinear systems with unknown switching function

Continuous state observability and mode reconstructability of switched nonlinear systems with unknown switching function

Robust sampled-data observer design for Lipschitz nonlinear systems

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