Observer‐based leader‐following consensus of one‐sided Lipschitz multi‐agent systems over input saturation and directed graphs

Razaq, Muhammad Ahsan; Rehan, Muhammad; Hussain, Muntazir; Ahmed, Shakeel; Hong, Keum–Shik

doi:10.1002/asjc.3047

Cited by 4 publications

(2 citation statements)

References 36 publications

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“…Furthermore, many real-world systems may be rep-resented as one-sided Lipschitz nonlinear systems. OSL NSs, for example, have been used to describe the dynamics of robotic manipulators, power systems, and chemical processes, as shown in [30][31][32][33][34]. In other words, OSL is a mathematical concept used in the analysis of differential equations and control systems.…”

Section: For Peer Review 3 Of 15mentioning

confidence: 99%

“…Let 0 < ռ < 1, 0 < ℎ ≤ 1 and S be a constant and symmetric, definite positive matrix. Then, −µt to describe the dynamics of robotic manipulators, power systems, and chemical processes, as shown in [30][31][32][33][34]. In other words, OSL is a mathematical concept used in the analysis of differential equations and control systems.…”

Section: 𝑓𝑜𝑟 𝑡 ∈ (𝑎 𝑏] 0< ռ<1 0<ℎ≤1mentioning

confidence: 99%

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Unknown Input Observer Scheme for a Class of Nonlinear Generalized Proportional Fractional Order Systems

et al. 2023

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In this study, an unknown input observer is proposed for a class of nonlinear GPFOSs. For this class of systems, both full-order and reduced-order observers have been established. The investigated system satisfies the one-sided Lipschitz nonlinear condition, which is an improvement of the classic Lipschitz condition. Sufficient conditions have been proposed to ensure the error dynamics’ Mittag–Leffler stability. The value of this work lies in the fact that, to the best of the authors’ knowledge, this is the first research work that investigates the issue of Observer Design (OD) for GPFOSs. To exemplify the usefulness of the suggested observers, an illustrative numerical example is suggested.

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Section: For Peer Review 3 Of 15mentioning

confidence: 99%

Section: 𝑓𝑜𝑟 𝑡 ∈ (𝑎 𝑏] 0< ռ<1 0<ℎ≤1mentioning

confidence: 99%

Unknown Input Observer Scheme for a Class of Nonlinear Generalized Proportional Fractional Order Systems

et al. 2023

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Practical finite‐time and fixed‐time multigroup consensus for second‐order nonlinear multi‐agent systems with Markov switching topology

Lu,

Wu,

Zhan

et al. 2024

Asian Journal of Control

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Practical finite‐time and fixed‐time multigroup consensus questions for second‐order nonlinear multi‐agent systems (MASs) with Markov switching topologies are investigated in this article. Based on the topology of switching, each agent will appear to switch between different groups, and by setting up group switching signal variables embedded in error variables for each agent, finite‐time and fixed‐time control protocols are proposed, respectively, such that the conditions that must be satisfied for all agents to achieve practical finite‐time multigroup consensus and practical fixed‐time multigroup consensus can be obtained, respectively. For unknown nonlinear functions in the dynamical system, a radial basis function neural network (RBFNN) fit is used for approximation. Correspondingly, two examples are provided to verify the control effects of the control protocols.

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Output feedback distributed optimization algorithms of higher‐order uncertain nonlinear multi‐agent systems

Li,

Gao,

Rauf

2024

Asian Journal of Control

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Output feedback distributed optimization problem is studied for higher‐order multi‐agent systems with uncertain nonlinearities, which are assumed to satisfy linear growth conditions. The agents dynamics are permitted to be heterogenous with different nonlinearities. The problem is solved by embedded control approach based output feedback distributed optimization algorithms. First, a first‐order optimal signal generator is designed, of which outputs reach the minimizer of the global cost function. Second, embedding the generator into the feedback loop and taking the outputs of the generator as the reference outputs of the agents, output feedback tracking controllers are designed for the higher‐order multi‐agent systems on the basis of nonseparation principle and feedback domination technique. Under the proposed control algorithms, all the agents outputs asymptotically approach a bounded neighbor region of the global minimizer. Simulations demonstrate the effectiveness of the proposed output feedback distributed optimization algorithms.

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Observer‐based leader‐following consensus of one‐sided Lipschitz multi‐agent systems over input saturation and directed graphs

Cited by 4 publications

References 36 publications

Unknown Input Observer Scheme for a Class of Nonlinear Generalized Proportional Fractional Order Systems

Unknown Input Observer Scheme for a Class of Nonlinear Generalized Proportional Fractional Order Systems

Practical finite‐time and fixed‐time multigroup consensus for second‐order nonlinear multi‐agent systems with Markov switching topology

Output feedback distributed optimization algorithms of higher‐order uncertain nonlinear multi‐agent systems

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