Observer‐based controller for positive polynomial systems with time delay

Ammar, Imen Iben; Gassara, Hamdi; Tadeo, Fernando; Chaabane, Mohamed

doi:10.1002/oca.2542

Cited by 7 publications

(2 citation statements)

References 22 publications

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“…The delay-free case has a broad range of applications, including passive fault tolerant (Ye et al, 2018), stabilization (Saenz et al, 2021; Zhao et al, 2017), observer design (Liu et al, 2016), and fault detection filter design (Chibani et al, 2018). Previously, numerous outcomes have been suggested in the literature in the manner of exploring so many classes of delayed polynomial systems, for example, stabilization (Gassara et al, 2017), control under actuator saturation (Gassara et al, 2016), and observer-based control (Iben Ammar et al, 2020). These varied conclusions are expressed as SOS, in which conditions are numerically (partially symbolically) solved using SOSTOOLS (Prajna et al, 2015).…”

Section: Introductionmentioning

confidence: 99%

Robust fault estimation for polynomial systems with time delay via a polynomial adaptive observer

Gassara

Elloumi

Naifar

et al. 2022

Transactions of the Institute of Measurement and Control

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In this paper, a robust fault estimation for polynomial systems with time delay via a polynomial adaptive observer is presented and described. In fact, in contrast to previous research works on actuator faults, the learning rate utilized to govern the convergence speed of states and faults errors is not predetermined but is derived using the sum of squares optimization problem. Furthermore, the [Formula: see text] optimization approach was created to reduce the impact of disturbances on state estimation error and fault estimation error. Finally, an illustrative practical example is given to validate the effectiveness of the suggested methodology.

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Section: Introductionmentioning

confidence: 99%

Robust fault estimation for polynomial systems with time delay via a polynomial adaptive observer

Gassara

Elloumi

Naifar

et al. 2022

Transactions of the Institute of Measurement and Control

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“…Mathematical modeling is of great importance for real‐world applications. For systems within intrinsic non‐negative state variables, 1,2 researchers refer to the positive system modeling approach to analyze stability and stabilization issues. In this context, biological, chemical, and wireless sensor network‐based power systems have been widely studied 3,4 …”

Section: Introductionmentioning

confidence: 99%

Exponential stability and stabilization of positive T‐S fuzzy delayed systems

Elloumi

Makni

Mehdi

et al. 2022

Optim Control Appl Methods

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The analysis of positive nonlinear delayed systems is of great importance for many real‐world applications. Such systems' stability and stabilization assessment is still an open topic, and there is limited literature on this field. Moreover, further convergence conditions should be considered for many experimental processes, such as exponential stability analysis, which is highly important. Considering the above, we deal in this study with the problem of exponential stability and stabilization of nonlinear fuzzy positive systems with delay. We establish exponential stability criteria using Lyapunov–Krasovskii functional (LKF) and a delay bi‐decomposition approach for bounded and time‐varying delayed systems. The obtained results are then extended to the exponential stabilization case. The control law is designed using Parallel distributed compensation (PDC). The proposed approach, formulated in terms of linear matrix inequalities (LMIs), allows reducing the conservativeness of the delay‐dependent conditions. A comparative study is presented to illustrate the superiority of our method. Moreover, simulation results for the two tanks process show the advantages of the proposed control design.

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Observer‐based control for nonlinear Hadamard fractional‐order systems via SOS approach

Gassara,

Naifar,

Chaabane

et al. 2024

Asian Journal of Control

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Practical stability refers to the notion that the origin is not an equilibrium point (EP) and that the system states tend to converge toward a sphere centered at the origin. The first goal of this paper is to analyze the concept of “practical stability” in Caputo–Hadamard fractional‐order derivative (CHFOD) systems. Then, using the Lyapunov approach, a polynomial fuzzy (PF) observer‐based controller for stabilizing CHFOD PF systems is created. The observer‐based control is innovative since it was created and proven using the sum‐of‐squares (SOS) method. In conclusion, a numerical illustration is provided to corroborate the theoretical findings.

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Observer‐based controller for positive polynomial systems with time delay

Cited by 7 publications

References 22 publications

Robust fault estimation for polynomial systems with time delay via a polynomial adaptive observer

Robust fault estimation for polynomial systems with time delay via a polynomial adaptive observer

Exponential stability and stabilization of positive T‐S fuzzy delayed systems

Observer‐based control for nonlinear Hadamard fractional‐order systems via SOS approach

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