Finite-time adaptive optimal consensus control for multi-agent systems subject to time-varying output constraints

Xu, Jiahong; Wang, Lijie; Liu, Yang; Sun, Jize; Pan, Yingnan

doi:10.1016/j.amc.2022.127176

Cited by 14 publications

(3 citation statements)

References 32 publications

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“…According to (21) and Lemma 1 in Xu et al [51], it can be concluded that the nonlinear system is SGPFS for ∀t ≥ t 1 .…”

Section: Stability Analysismentioning

confidence: 92%

“…Denote

{t}_1&amp;amp;amp;#x0003D;\frac{1}{\left(1-\delta \right)\eta c}\left[{\mathrm{\daleth}}&amp;amp;amp;#x0005E;{1-\delta}\left(e(0)\right)-{\left(\frac{\sigma }{\left(1-\eta \right)c}\right)}&amp;amp;amp;#x0005E;{\left(1-\delta \right)/\delta}\right]

, where

\eta \in \left(0,1\right)

. According to () and Lemma 1 in Xu et al [51], it can be concluded that the nonlinear system is SGPFS for

\forall t\ge {t}_1

. Combining the above description, system () is SGPFS by utilizing the proposed optimal control input () and the tuning law of the critic ().…”

Section: Stability Analysismentioning

confidence: 99%

See 1 more Smart Citation

Finite‐time optimal tracking control for a class of nonlinear systems with prescribed performance

Wang

Liu

et al. 2023

Asian Journal of Control

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In this paper, a finite‐time optimal tracking control scheme based on integral reinforcement learning is developed for partially unknown nonlinear systems. In order to realize the prescribed performance, the original system is transformed into an equivalent unconstrained system so as to a composite system is constructed. Subsequently, a modified nonlinear quadratic performance function containing the auxiliary tracking error is designed. Furthermore, the technique of experience replay is used to update the critic neural network, which eliminates the persistent of excitation condition in traditional optimal methods. By combining the prescribed performance control with the finite‐time optimization control technique, the tracking error is driven to a desired performance in finite time. Consequently, it has been shown that all signals in the partially unknown nonlinear system are semiglobally practical finite‐time stable by stability analysis. Finally, the provided comparative simulation results verify the effectiveness of the developed control scheme.

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“…According to (21) and Lemma 1 in Xu et al [51], it can be concluded that the nonlinear system is SGPFS for ∀t ≥ t 1 .…”

Section: Stability Analysismentioning

confidence: 92%

“…Denote

{t}_1&amp;amp;amp;#x0003D;\frac{1}{\left(1-\delta \right)\eta c}\left[{\mathrm{\daleth}}&amp;amp;amp;#x0005E;{1-\delta}\left(e(0)\right)-{\left(\frac{\sigma }{\left(1-\eta \right)c}\right)}&amp;amp;amp;#x0005E;{\left(1-\delta \right)/\delta}\right]

, where

\eta \in \left(0,1\right)

. According to () and Lemma 1 in Xu et al [51], it can be concluded that the nonlinear system is SGPFS for

\forall t\ge {t}_1

. Combining the above description, system () is SGPFS by utilizing the proposed optimal control input () and the tuning law of the critic ().…”

Section: Stability Analysismentioning

confidence: 99%

Finite‐time optimal tracking control for a class of nonlinear systems with prescribed performance

Wang

Liu

et al. 2023

Asian Journal of Control

Self Cite

View full text Add to dashboard Cite

show abstract

“…It is verified [17] that asymptotic consensus can be achieved for nonlinear leaderless MASs. Although the results in [15][16][17] provide some excellent analytical methods for the average consensus problem, it is important to realize consensus in a finite time in practical applications with higher accuracy requirements or more stringent convergence time [18][19][20][21][22][23]. In addition, different from asymptotic consensus and exponential consensus, the finite-time consensus method enables information processing within limited time for more economic benefits [14].…”

Section: Introductionmentioning

confidence: 99%

Fixed-Time Average Consensus for Delayed Multi-Agent Systems with Discontinuous Dynamics under Fixed and Switching Topology

Yan

2023

Preprint

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This paper is concerned with the fixed-time average consensus problem of delayed multi-agent systems (MASs) under the framework of discontinuous inherent dynamics. By introducing the weighted average state as the virtual leader, the leaderless fixed-time consensus problem can be transformed into the stability problem of the error system. Two distributed control protocols are skillfully proposed based on the neighbors’ information to guarantee that the MASs can achieve finite- and fixed-time consensus, respectively. By establishing a relationship between any two nodes in the MASs, some sufficient conditions are derived such that the resulting consensus tracking errors can be converged to zero within a finite/fixed time, respectively. In addition, an analytical expression of the setting time is given, which does not rely on the initial conditions. Moreover, finite-/fixed-time control under switching topology is also studied, and the relevant results are achieved. The theoretical results are illustrated by two examples.

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A Unified Adaptive Event‐Triggered Output Feedback Consensus for Multi‐Agent Systems With or Without Output Constraints

Huang,

Karimi,

Niu

et al. 2024

Intl J Robust & Nonlinear

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This paper is dealing with the problem of adaptive event‐triggered leader‐follower consensus for multi‐agents systems with output constraints and dead‐zone inputs. By introducing an advanced nonlinear mapping technique to obtain the unconstrained auxiliary variables of constrained system states, a new systems model without output constraints is constructed. Unlike existing schemes, the proposed strategy can be used in both constrained and unconstrained situations without requiring changes to the control structure. Moreover, a state estimator is constructed to observe the unavailable states. To conserve communication resources, an event‐triggered rule with a dynamic threshold is designed to decrease superfluous information transmissions from the controller to the actuator. It is proven that all signals in closed‐loop systems are ultimately bounded, and the system output does not violate the given constraint range. At last, a numerical simulation example is provided to confirm the correctness and efficiency of the proposed method.

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Finite-time adaptive optimal consensus control for multi-agent systems subject to time-varying output constraints

Cited by 14 publications

References 32 publications

Finite‐time optimal tracking control for a class of nonlinear systems with prescribed performance

Finite‐time optimal tracking control for a class of nonlinear systems with prescribed performance

Fixed-Time Average Consensus for Delayed Multi-Agent Systems with Discontinuous Dynamics under Fixed and Switching Topology

A Unified Adaptive Event‐Triggered Output Feedback Consensus for Multi‐Agent Systems With or Without Output Constraints

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