Observer for differential inclusion systems with incremental quadratic constraints

Yang, Lin; Huang, Jun; Zhang, Min; Yang, Ming

doi:10.1080/00207721.2020.1805041

Cited by 5 publications

(10 citation statements)

References 32 publications

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“…Remark 2.2. Huang et al (2021) and Yang et al (2020) only consider the case of fixed topology, but in reality, due to the movement of agents in the system, most of the interaction structures between agents change constantly. Therefore, we consider the mathematical model under switching topologies, so that the conclusions have more practical application value.…”

Section: Preliminaries and Problem Statementmentioning

confidence: 99%

“…In order to elaborate on the superiority of the proposed control method over the existed methods, we assume that the nonlinearity ϕ ( x ) satisfies Lipschitz condition, that is, equation (2) holds where ρ is the Lipschitz constant. Then, based on Yang et al (2020), we have the following Corollary.…”

Section: Consensus Protocol Analysismentioning

confidence: 99%

“…By choosing appropriate incremental multiplier matrices ( δ MMs), many general nonlinearities can be transformed into the form of δ QC, such as quadratic inner-boundedness (QIB), Lipschitz, OSL and so on. For centralized systems, there have been some conclusions in this regard (such as Açıkmeşe and Corless, 2011; Yang et al, 2020; Zhang et al, 2021; Zhao et al, 2018). The observers designed by Açıkmeşe and Corless (2011) and Zhao et al (2018) for δ QC nonlinear systems were full-order and reduced-order, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…The observers designed by Açıkmeşe and Corless (2011) and Zhao et al (2018) for δ QC nonlinear systems were full-order and reduced-order, respectively. Yang et al (2020) studied differential inclusion systems satisfying δ QC and proposed an observer design method. Then, Zhang et al (2021) further extended the systems to semi-Markov jump systems with δ QC and solved the stochastic observer design problem.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Consensus based on output for nonlinear multi-agent systems with switching topologies

Zhang

Chen

Huang

et al. 2022

Transactions of the Institute of Measurement and Control

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This article addresses the consensus problem based on static output feedback for a kind of leader-following multi-agent systems. Traditional nonlinear constraints, such as Lipschitz and one-sided Lipschitz, cannot describe most nonlinear functions. The incremental quadratic constraints and switching topologies are considered to extend the application range and practical significance of the existing consensus control protocol. By investigating the topology having a directed spanning tree and constructing a proper Lyapunov function, this article gives sufficient conditions for the consensus problem, including the dwell time by a threshold value. Then, a design method for the static output feedback gain matrix is deduced and an algorithm for achieving consensus is presented. Finally, two simulation examples are used to verify the validity as well as the superiority of the designed protocol. It is the first piece of work to study the consensus problem of multi-agent with incremental quadratic constraints under switching topologies.

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Section: Preliminaries and Problem Statementmentioning

confidence: 99%

Section: Consensus Protocol Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Consensus based on output for nonlinear multi-agent systems with switching topologies

Zhang

Chen

Huang

et al. 2022

Transactions of the Institute of Measurement and Control

Self Cite

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“…Recently, the investigation for systems satisfying 𝛿QC has yielded fruitful results. [18][19][20][21][22][23][24][25][26] In Reference 21, a technique for designing state observers for incrementally quadratic systems has been presented to address the problem of secure chaotic communication. Adaptive state observers for nonlinear systems with 𝛿QC have been put forward in References 19,20.…”

Section: Introductionmentioning

confidence: 99%

State and adaptive disturbance observer co‐design for incrementally quadratic nonlinear descriptor systems with nonlinear outputs

Liu

Wen

et al. 2023

Intl J Robust & Nonlinear

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The problem of designing state and adaptive disturbance observers for a class of nonlinear descriptor systems with the disturbance generated by an unknown exogenous system is addressed in this paper. Especially, the nonlinear terms satisfy incremental quadratic constraints parameterized by a bunch of multiplier matrices, which can represent various classes of nonlinearities. For three different cases in the output equation, the state and adaptive disturbance observers are proposed. Some sufficient conditions formulated in terms of linear matrix inequalities and algebraic constraints are derived to guarantee that state and disturbance error systems, simultaneously, are asymptotically stable with performance level. The availability of proposed observers is validated by two practical examples.

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Stubborn State and Disturbance Observer Co‐Design for Nonlinear Descriptor Systems With δQC$$ \delta \mathrm{QC} $$ via a Dynamic Event‐Triggered Mechanism

Liu,

Wen,

et al. 2024

Intl J Robust & Nonlinear

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This article studies the state and disturbance simultaneous estimation problem for a class of nonlinear descriptor systems with using a dynamic event‐triggered mechanism. refers to incremental quadratic constraints, which can provide a unified description of many types of common nonlinear functions. To reduce the negative impact of measurement outliers on the identification estimation, a stubborn state and disturbance observer co‐design scheme is proposed for the first time by embedding dynamic saturation output estimation errors. Meanwhile, a dynamic event‐triggered mechanism is introduced to avoid the need for continuously available output information, which can reduce the pressure on communication resources. By constructing a Lyapunov function, existence conditions of the stubborn state and disturbance observer are obtained in the form of a convex optimization problem so that the error estimation maintains an acceptable estimation performance. Finally, simulation examples illustrate the universality and stubbornness of the proposed observer.

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Observer for differential inclusion systems with incremental quadratic constraints

Cited by 5 publications

References 32 publications

Consensus based on output for nonlinear multi-agent systems with switching topologies

Consensus based on output for nonlinear multi-agent systems with switching topologies

State and adaptive disturbance observer co‐design for incrementally quadratic nonlinear descriptor systems with nonlinear outputs

Stubborn State and Disturbance Observer Co‐Design for Nonlinear Descriptor Systems With δQC$$ \delta \mathrm{QC} $$ via a Dynamic Event‐Triggered Mechanism

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