Finite‐time output regulation by bounded linear time‐varying controls with applications to the satellite formation flying

Zhang, Kai; Zhou, Bin; Jiang, Huaiyuan; Duan, Guang‐Ren

doi:10.1002/rnc.5832

Cited by 13 publications

(17 citation statements)

References 42 publications

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“…• In contrast to existing results 18,22 on the output regulation problem, the smooth and linear controllers developed here can solve FxTORP which is not related to the initial condition and can avoid terminal singularities. Inspired by Reference 21, the proposed control strategy is based on a novel smooth PDF approach.…”

Section: Introductionmentioning

confidence: 79%

“…▪ Remark 4. Some specific comparisons with a remarkable work on the finite-time output regulation 18 are stated as follows:…”

Section: Observer-based Output Feedbackmentioning

confidence: 99%

“…2. Note that input delay is considered in this article, while Zhang et al 18 do not consider this factor. 3.…”

Section: Observer-based Output Feedbackmentioning

confidence: 99%

“…How to solve the output regulation problem in finite/fixed time has aroused widespread interest of experts and scholars. Until now, some existing results have been reported in References 14‐18. By using a backstepping method, the author in Reference 14 considered the finite‐time state and output feedback regulator problems for linear distributed‐parameter systems.…”

Section: Introductionmentioning

confidence: 99%

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Fixed‐time output regulation of linear delay systems by smooth time‐varying control

2022

Intl J Robust & Nonlinear

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This article investigates the fixed‐time output regulation problem (FxTORP) for linear systems in the presence of input delay. A linear controller consisting of the linear periodic delayed feedback (PDF) gain and the feedforward gain obtained by solving regulator equations is designed, such that FxTORP is addressed. If only the measurable output can be used for feedback, a linear observer with periodic coefficient and artificial delay is designed so that its state converges to the state of the augmented system at a prescribed finite time. Based on the estimated state, the output regulation problem can also be solved by using observer‐based output feedback. The most significant advantages of this article are that the PDF gain can be taken as smooth and the output regulation problem is achieved within a prespecified regulation time. Finally, a simulation example is given to substantiate the validity of the proposed approaches.

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Section: Introductionmentioning

confidence: 79%

“…▪ Remark 4. Some specific comparisons with a remarkable work on the finite-time output regulation 18 are stated as follows:…”

Section: Observer-based Output Feedbackmentioning

confidence: 99%

“…2. Note that input delay is considered in this article, while Zhang et al 18 do not consider this factor. 3.…”

Section: Observer-based Output Feedbackmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fixed‐time output regulation of linear delay systems by smooth time‐varying control

2022

Intl J Robust & Nonlinear

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“…In recent years, the coordination control of MASs has attracted considerable attention for their broad applications in many fields [ 1 , 2 ], such as formation control, cooperative attack, and attitude alignment. The MAS consists of a series of agents, which can communicate and interact with each other to realize multiple missions and adapt to the complex environment [ 3 , 4 ]. In particular, much attention has been paid to the problem of consensus of MASs because of their great potential applications in both economic and military.…”

Section: Introductionmentioning

confidence: 99%

Intelligent L2-L∞ Consensus of Multiagent Systems under Switching Topologies via Fuzzy Deep Q Learning

Cheng

Song

et al. 2022

Computational Intelligence and Neuroscience

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The problem of intelligent L2-L∞ consensus design for leader-followers multiagent systems (MASs) under switching topologies is investigated based on switched control theory and fuzzy deep Q learning. It is supposed that the communication topologies are time-varying, and the model of MASs under switching topologies is constructed based on switched systems. By employing linear transformation, the problem of consensus of MASs is converted into the issue of L2-L∞ control. The consensus protocol is composed of the dynamics-based protocol and learning-based protocol, where the robust control theory and deep Q learning are applied for the two parts to guarantee the prescribed performance and improve the transient performance. The multiple Lyapunov function (MLF) method and mode-dependent average dwell time (MDADT) method are combined to give the scheduling interval, which ensures stability and prescribed attenuation performance. The sufficient existing conditions of consensus protocol are given, and the solutions of the dynamics-based protocol are derived based on linear matrix inequalities (LMIs). Then, the online design of the learning-based protocol is formulated as a Markov decision process, where the fuzzy deep Q learning is utilized to compensate for the uncertainties and achieve optimal performance. The variation of the learning-based protocol is modeled as the external compensation on the dynamics-based protocol. Therefore, the convergence of the proposed protocol can be guaranteed by employing the nonfragile control theory. In the end, a numerical example is given to validate the effectiveness and superiority of the proposed method.

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Disturbance rejection control of multiple integrators system by bounded linear extended observer based output feedback

Zhang

Zhou

Yang

2022

Intl J Robust & Nonlinear

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Summary This paper is concerned with the disturbance rejection control problem of multiple integrators systems subject to actuator saturation and external disturbance. By using the solutions to a class of parametric Lyapunov equations (PLEs), extended observer based bounded linear output feedback controller is designed to solve the considered problem. By constructing a novel Lyapunov function and using the properties of the PLE, the stability of the closed‐loop system is proved and the domain of attraction is estimated. In order to improve control performance, bounded linear time‐varying output feedback controller is also proposed such that the state of the closed‐loop system tends to zero as the time approaches to the prescribed setting time which is independent of the initial conditions and can be assigned in advance. In addition, some comparisons of the proposed methods to existing results are given. Finally, numerical examples verify the effectiveness of the proposed methods.

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Finite‐time output regulation by bounded linear time‐varying controls with applications to the satellite formation flying

Cited by 13 publications

References 42 publications

Fixed‐time output regulation of linear delay systems by smooth time‐varying control

Fixed‐time output regulation of linear delay systems by smooth time‐varying control

Intelligent L2-L∞ Consensus of Multiagent Systems under Switching Topologies via Fuzzy Deep Q Learning

Disturbance rejection control of multiple integrators system by bounded linear extended observer based output feedback

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