Stabilization of non-homogeneous hidden semi-Markov Jump systems with limited sojourn-time information

Zhang, Lixian; Cai, Bo; Tan, Tianyu; Shi, Yang

doi:10.1016/j.automatica.2020.108963

Cited by 53 publications

(19 citation statements)

References 31 publications

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“…The H ∞ performance 46 of switched LPV system of quadrotors in a fixed time will also be considered. In addition, the proposed control method is expected to be extended to the stochastic switched systems [47][48][49] with application to the fault-tolerant control of quadrotors 27,28 in the future work.…”

Section: Discussionmentioning

confidence: 99%

Switched linear parameter‐varying tracking control for quadrotors with large attitude angles and time‐varying inertia

Nie

Cai

Zhu

et al. 2021

Optim Control Appl Methods

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This paper is concerned with large-angle attitude tracking control for quadrotors in the presence of time-varying inertia and external disturbances using a switched linear parameter-varying (LPV) system method. The attitude system of the quadrotor is divided into two parts, that is, the outer attitude-angle loop and inner angular-velocity loop. A feedback linearization controller is designed in the outer loop to generate the desired angular velocities. In the inner loop, the nonlinear quadrotor dynamics with time-varying inertia is approximated by a switched LPV system that consists of a series of LPV models. The persistent dwell time (PDT) switching logic is adopted to describe the fast and slow switches coexist among these LPV models. Then, both the continuous-time state-feedback and dynamic output-feedback controllers are designed, which ensure the globally uniformly asymptotically stability and  2 −  ∞ external disturbance attenuation performance of the attitude tracking error system. Finally, the effectiveness of the proposed tracking control method of quadrotors is validated with an example. K E Y W O R D S 2 −  ∞ performance, persistent dwell time, quadrotor, switched linear parameter-varying systems INTRODUCTIONIn recent years, the quadrotors have been broadly applied in surveillance, facilities inspection, and rescue missions because of their maneuverability and maintainability. [1][2][3] As the core part of the flight control system in quadrotors, the attitude controller determines the overall performance of quadrotors in various missions. 4 However, the attitude control system of quadrotors is characterized by nonlinearity and strong coupling, which is sensitive to external disturbances and model uncertainties. 5,6 Therefore, it is a challenge to design a satisfactory attitude tracking controller with fast response and high precision.

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Section: Discussionmentioning

confidence: 99%

Switched linear parameter‐varying tracking control for quadrotors with large attitude angles and time‐varying inertia

Nie

Cai

Zhu

et al. 2021

Optim Control Appl Methods

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“…However, Lyapunov function ( 20) is not applicable to systems without time delays. More general and less conservative method to construct Lyapunov function for MJSSs driven by FBMs will be considered, and then extended to semi-Markovian jumping systems and hidden semi-Markovian jumping systems [25][26][27] in future.…”

Section: Discussionmentioning

confidence: 99%

Quantized feedback control for Markovian jumping singular systems driven by fractional Brownian motions

Xie

Meng

Kao

et al. 2021

Intl J Robust & Nonlinear

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The quantized feedback control for a type of delayed Markovian jumping singular systems driven by fractional Brownian motions is investigated. Firstly, the input is quantized by a uniform operator consisting of a linear part to deal with system stochastic stability and a nonlinear part to deal with the error caused by the quantizer. Secondly, to deal with the boundedness of fractional Brownian motions, a new type of Lyapunov function dependent of Hurst index is constructed. Then, utilizing generalized Finsler lemma and Gronwall inequality, some new criteria on the singular stochastic finite-time boundedness are obtained for the considered systems with the designed quantized input. Finally, a numerical example and a DC motor example are presented to verify the effectiveness of the proposed methods and results.

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“…However, due to the limitation of the existing technical implementation, this paper only considered the problem of stochastic consensus of networked Lagrangian systems with semi-Markov switching topologies with certain transition rates. For the future research work regarding networked semi-Markovian system on this issue, such as uncertain transition rates (Xu TB et al, 2019), limited sojourn-time information (Zhang et al, 2020), and so forth, though very challenging, would be expected for more systematic investigations from the view of hybrid multi-agent systems in practice.…”

Section: Discussionmentioning

confidence: 99%

Event-triggered stochastic consensus for networked Lagrangian systems with semi-Markov switching topologies and communication delays

Pan

Miao

et al. 2021

Transactions of the Institute of Measurement and Control

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In this paper, the event-triggered stochastic consensus for networked Lagrangian systems with semi-Markov switching topologies and communication delays is considered. An event-triggered sampling control strategy is used to design the distributed stochastic consensus scheme of networked Lagrangian systems for two cases with leader and leaderless. Two delay-dependent consensus criteria are derived in the sense of mean square by use of a suitable Lyapunov-Krasovskii functional and the stochastic delayed Halanay inequality, respectively. A key feature of the developed event-triggered consensus algorithm is to introduce a suitable adjustment parameter on consensus control gains characterizing the effect of both semi-Markov switching topology and communication delay. Finally, a numerical example of four manipulators with two links is presented to illustrate the effectiveness of the developed event-triggered methodology.

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Stabilization of non-homogeneous hidden semi-Markov Jump systems with limited sojourn-time information

Cited by 53 publications

References 31 publications

Switched linear parameter‐varying tracking control for quadrotors with large attitude angles and time‐varying inertia

Switched linear parameter‐varying tracking control for quadrotors with large attitude angles and time‐varying inertia

Quantized feedback control for Markovian jumping singular systems driven by fractional Brownian motions

Event-triggered stochastic consensus for networked Lagrangian systems with semi-Markov switching topologies and communication delays

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