Output-feedback-guaranteed cost control of fractional-order uncertain linear delayed systems

Chen, Liping; Li, Tingting; Wu, Ranchao; Lopes, António M.; Machado, J. A. Tenreiro; Wu, Kehan

doi:10.1007/s40314-020-01247-y

Cited by 19 publications

(11 citation statements)

References 43 publications

(44 reference statements)

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“…In (6), J x (t) and J u (t) represent the consensus error performance and the control energy consumption for the FOMASs. Reference [31] addressed the guaranteed cost of control for a single system. The works [23][24][25][26]32,33] proposed a guaranteed cost function related to MASs, but that cannot be applied to the guaranteed cost consensus of FOMASs.…”

Section: Problem Statementmentioning

confidence: 99%

Guaranteed Cost Leaderless Consensus Protocol Design for Fractional-Order Uncertain Multi-Agent Systems with State and Input Delays

et al. 2021

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This paper addresses the guaranteed cost leaderless consensus of delayed fractional-order (FO) multi-agent systems (FOMASs) with nonlinearities and uncertainties. A guaranteed cost function for FOMAS is proposed to simultaneously consider consensus performance and energy consumption. By employing the linear matrix inequality approach and the FO Razumikhin theorem, a delay-dependent and order-dependent consensus protocol is formulated for FOMASs with input delay. The proposed protocol not only guarantees the robust stability of the closed-loop system error but also ensures that the performance degradation caused by the system uncertainty is lesser than that obtained with other approaches. Two numerical examples are provided in order to verify the effectiveness and accuracy of the proposed protocol.

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Section: Problem Statementmentioning

confidence: 99%

Guaranteed Cost Leaderless Consensus Protocol Design for Fractional-Order Uncertain Multi-Agent Systems with State and Input Delays

et al. 2021

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“…The problem of finite-time and robust guaranteed cost control of uncertain fractionalorder neural networks were investigated in [42,43], and the output-feedback-guaranteed cost control of a class of FO uncertain linear systems with time delay was discussed in [44]. However, these results are delay-and order-independent.…”

Section: Remarkmentioning

confidence: 99%

“…However, these results are delay-and order-independent. Here, delay-and order-dependent controller methods are obtained, which are less conservative than those presented in [42][43][44].…”

Section: Remarkmentioning

confidence: 99%

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Delay-Dependent and Order-Dependent Guaranteed Cost Control for Uncertain Fractional-Order Delayed Linear Systems

Chai

Chen

et al. 2020

Mathematics

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This paper addresses the guaranteed cost control problem of a class of uncertain fractional-order (FO) delayed linear systems with norm-bounded time-varying parametric uncertainty. The study is focused on the design of state feedback controllers with delay such that the resulting closed-loop system is asymptotically stable and an adequate level of performance is also guaranteed. Stemming from the linear matrix inequality (LMI) approach and the FO Razumikhin theorem, a delay- and order-dependent design method is proposed with guaranteed closed-loop stability and cost for admissible uncertainties. Examples illustrate the effectiveness of the proposed method.

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“…The proposed algorithm ensures system stability and the synchronization errors converge to a small residual set. In Chen et al (2020), the output-feedback-guaranteed cost control of fractional-order uncertain linear delayed systems is investigated. In this paper, a new definition of guaranteed cost control of fractional order system is presented and the norm-bounded and the time-varying parameter uncertainties are assumed.…”

Section: Introductionmentioning

confidence: 99%

Optimal control based on neural observer with known final time for fractional order uncertain non-linear continuous-time systems

Nassajian

Balochian

2020

Comp. Appl. Math.

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In this paper, an optimal control scheme with known final time is presented for continuous time fractional order nonlinear systems with an unknown term in the dynamics of the system. Fractional derivative is considered based on Caputo concept and fractional order is between 0 and 1. First, a neural network observer with fractional order dynamics is designed to estimate system states. Weights of the neural network are updated adaptively and the update laws are presented as equations of fractional order. By using the Lyapunov method, it is shown that state estimation error and weight estimation error are limited. Then, the optimal control problem with known final time for fractional order nonlinear systems is presented based on observed states. Finally, the simulation results show efficiency of the proposed method.

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Output-feedback-guaranteed cost control of fractional-order uncertain linear delayed systems

Cited by 19 publications

References 43 publications

Guaranteed Cost Leaderless Consensus Protocol Design for Fractional-Order Uncertain Multi-Agent Systems with State and Input Delays

Guaranteed Cost Leaderless Consensus Protocol Design for Fractional-Order Uncertain Multi-Agent Systems with State and Input Delays

Delay-Dependent and Order-Dependent Guaranteed Cost Control for Uncertain Fractional-Order Delayed Linear Systems

Optimal control based on neural observer with known final time for fractional order uncertain non-linear continuous-time systems

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