H∞ controller design of networked control systems with a new quantization structure

Song, Jiasheng; Chang, Xiao‐Heng

doi:10.1016/j.amc.2020.125070

Cited by 46 publications

(24 citation statements)

References 33 publications

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“…Remark 6. By the augmented multi-UAV networked system in (10) and (14) and the shifted multi-UAV networked system in (15) and (16), the complex H ∞ team formation control problem of N UAVs in (9) to track the desired reference model becomes the robust H ∞ stabilization problem in (18) of the shifted multi-UAV networked team tracking system in (16).…”

Section: B the Virtual Leader Team Tracking Design Of Multi-uav Evenmentioning

confidence: 99%

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Stochastic Robust Team Formation Tracking Design of Multi-VTOL-UAV Networked Control System in Smart City Under Time-Varying Delay and Random Fluctuation

et al. 2020

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In this study, the robust H ∞ event-triggered team formation tracking control design of multi-VTOL-UAVs in networked system is investigated. To describe the realistic networked system and UAV model, the intrinsic continuous Wiener random fluctuation, discontinuous Poisson random fluctuations, external disturbances and time-varying delays of wireless network are formulated in the proposed nonlinear stochastic jump diffusion system structure. By combining the event-triggered multi-UAV dynamic models and reference model into an augmented system, the robust H ∞ event-triggered multi-UAV networked team tracking problem can be transformed to a Hamilton-Jacobi inequality(HJI)-constraint optimization problem. Due to the difficulties in solving HJI-constraint optimization problem, for practical application, the T-S fuzzy techniques are adopted to efficiently approximate the nonlinear multi-UAVs system by a set of local linearized networked systems. Thus, the HJI-constraint optimization problem for the H ∞ event-triggered robust formation team tracking control can be transformed to a linear matrix inequality(LMI)-constraint optimization problem and can be easily solved by the convex optimization techniques. Finally, a simulation example is given to validate the effectiveness of the proposed event-triggered robust H ∞ team formation tracking control for the multi-VTOL-UAV system. INDEX TERMS Unmanned aerial vehicle networked system, event-triggered control, stochastic control, virtual structure formation control, robust H ∞ fuzzy control.

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Section: B the Virtual Leader Team Tracking Design Of Multi-uav Evenmentioning

confidence: 99%

“…In recent years, advances in communication technologies have facilitated multi-agent control over communication networks [15], [16]. Most of control schemes within the networked control system (NCS) so far are based on the time-triggered communication which makes full use of the sampled data at every time instant.…”

Section: Introductionmentioning

confidence: 99%

Stochastic Robust Team Formation Tracking Design of Multi-VTOL-UAV Networked Control System in Smart City Under Time-Varying Delay and Random Fluctuation

et al. 2020

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“…A non-linear class of fuzzy logic systems [28] has been discussed for the adaptive problem, where it has been concluded that the uncertain statuses can be approximated using the fuzzy logic method. A good result has been produced in a proposed quantization system in [29] for the feedback of the H − in f inity problem in the control systems network. Furthermore, a basic theory that is based on random consensus dynamics has been established for certain application areas [30], while a distributed dual averaging algorithm is proposed in [31] for optimizing the cooperative consensus in delay cooperation in the computational multi-agent network.…”

Section: Introductionmentioning

confidence: 99%

A Fast Non-Linear Symmetry Approach for Guaranteed Consensus in Network of Multi-Agent Systems

Abdulghafor

Almotairi

2020

Symmetry

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There has been tremendous work on multi-agent systems (MAS) in recent years. MAS consist of multiple autonomous agents that interact with each order to solve a complex problem. Several applications of MAS can be found in computer networks, smart grids, and the modeling of complex systems. Despite numerous benefits, a significant challenge for MAS is achieving a consensus among agents in a shared target task, which is difficult without applying certain mathematical equations. Non-linear models offer better possibility of resolving consensus for MAS; however, existing non-linear models are considerably complicated and present no guarantees for achieving consensus. This paper proposes a non-linear mathematical model of semi symmetry quadratic operator (SSQO) in order to resolve the issue of consensus in networks of MAS. The model is based on stochastic quadratic operator theory, with added new notations. An important feature for the proposed model is low complexity, fast consensus, and a guaranteed capability to reach a consensus. We present an evaluation of the proposed SSQO model and comparison with other existing models. We demonstrate that an average consensus can be achieved with our model in addition to the emulation effects for the MAS consensus.

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“…Based on this condition, the robust finite-time stabilization problem is resolved, and the explicit expression of the desired state feedback control law is also given in terms of a set of matrix inequalities. As pointed out in [20], [21], the full state of a system is difficult or impossible to measure sometimes, and in this circumstance, the output feedback control law design is very important to synthesize this system. By following the static output feedback control law design algorithm for discrete-time singular systems in [22] and the dynamic output feedback control law design algorithm for linear singular parameter-varying systems [23], the finite-time output feedback control law design algorithm can be obtained, which is our further research.…”

Section: Introductionmentioning

confidence: 99%

Robust Finite-Time Stabilization for Uncertain Discrete-Time Linear Singular Systems

Wang

et al. 2020

IEEE Access

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This paper considers the robust finite-time stabilization problem for a class of discrete-time linear singular systems with norm-bounded parameter uncertainties. With the introduction of an additional matrix to describe the algebraic relationship between the slow subsystem and fast subsystem of a discretetime linear singular system, a matrix inequality condition is first given for a discrete-time linear singular system to be regular, causal and finite-time stable. With this condition, the robust finite-time stability and robust finite-time stabilization problems are also resolved, and the explicit expression of the desired state feedback control law is also given in terms of a set of matrix inequalities. A numerical example is given to show the effectiveness of the proposed method. INDEX TERMS uncertain linear singular system, discrete-time singular system, finite-time stability, finitetime stabilization, matrix inequality

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H∞ controller design of networked control systems with a new quantization structure

Cited by 46 publications

References 33 publications

Stochastic Robust Team Formation Tracking Design of Multi-VTOL-UAV Networked Control System in Smart City Under Time-Varying Delay and Random Fluctuation

Stochastic Robust Team Formation Tracking Design of Multi-VTOL-UAV Networked Control System in Smart City Under Time-Varying Delay and Random Fluctuation

A Fast Non-Linear Symmetry Approach for Guaranteed Consensus in Network of Multi-Agent Systems

Robust Finite-Time Stabilization for Uncertain Discrete-Time Linear Singular Systems

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