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Open-loop and closed-loop D^(α)-type iterative learning control for fractional-order linear multi-agent systems with state-delays
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作者 LI Bingqiang LAN Tianyi +1 位作者 ZHAO Yiyun LYU Shuaishuai 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2021年第1期197-208,共12页
This study focuses on implementing consensus tracking using both open-loop and closed-loop Dα-type iterative learning control(ILC)schemes,for fractional-order multi-agent systems(FOMASs)with state-delays.The desired ... This study focuses on implementing consensus tracking using both open-loop and closed-loop Dα-type iterative learning control(ILC)schemes,for fractional-order multi-agent systems(FOMASs)with state-delays.The desired trajectory is constructed by introducing a virtual leader,and the fixed communication topology is considered and only a subset of followers can access the desired trajectory.For each control scheme,one controller is designed for one agent individually.According to the tracking error between the agent and the virtual leader,and the tracking errors between the agent and neighboring agents during the last iteration(for open-loop scheme)or the current running(for closed-loop scheme),each controller continuously corrects the last control law by a combination of communication weights in the topology to obtain the ideal control law.Through the rigorous analysis,sufficient conditions for both control schemes are established to ensure that all agents can achieve the asymptotically consistent output along the iteration axis within a finite-time interval.Sufficient numerical simulation results demonstrate the effectiveness of the control schemes,and provide some meaningful comparison results. 展开更多
关键词 multi-agent system FRACTIONAL-ORDER consensus control iterative learning control virtual leader STATE-DELAY
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Sliding mode H_∞ control for a class of uncertain nonlinear state-delayed systems 被引量:4
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作者 Wu Ligang Wang Changhong Gao Huijun Zhang Lixian 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第3期576-585,共10页
A new proportional-integral (PI) sliding surface is designed for a class of uncertain nonlinear state-delayed systems. Based on this, an adaptive sliding mode controller (ASMC) is synthesized, which guarantees the... A new proportional-integral (PI) sliding surface is designed for a class of uncertain nonlinear state-delayed systems. Based on this, an adaptive sliding mode controller (ASMC) is synthesized, which guarantees the occurrence of sliding mode even when the system is undergoing parameter uncertainties and external disturbance. The resulting sliding mode has the same order as the original system, so that it becomes easy to solve the H∞ control problem by designing a memoryless H∞ state feedback controller. A delay-dependent sufficient condition is proposed in terms of linear matrix inequalities (LMIs), which guarantees the sliding mode robust asymptotically stable and has a noise attenuation level γ in an H∞ sense. The admissible state feedback controller can be found by solving a sequential minimization problem subject to LMI constraints by applying the cone complementary linearization method. This design scheme combines the strong robustness of the sliding mode control with the H∞ norm performance. A numerical example is given to illustrate the effectiveness of the proposed scheme. 展开更多
关键词 sliding mode control H∞ control NONLINEARITY state-delayed system linear matrix inequality (LMIs)
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Non-Monotonic Lyapunov-Krasovskii Functional Approach to Stability Analysis and Stabilization of Discrete Time-Delay Systems 被引量:2
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作者 Younes Solgi Alireza Fatehi Ala Shariati 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2020年第3期752-763,共12页
In this paper, a novel non-monotonic Lyapunov-Krasovskii functional approach is proposed to deal with the stability analysis and stabilization problem of linear discrete time-delay systems. This technique is utilized ... In this paper, a novel non-monotonic Lyapunov-Krasovskii functional approach is proposed to deal with the stability analysis and stabilization problem of linear discrete time-delay systems. This technique is utilized to relax the monotonic requirement of the Lyapunov-Krasovskii theorem. In this regard, the Lyapunov-Krasovskii functional is allowed to increase in a few steps, while being forced to be overall decreasing. As a result, it relays on a larger class of Lyapunov-Krasovskii functionals to provide stability of a state-delay system. To this end, using the non-monotonic Lyapunov-Krasovskii theorem, new sufficient conditions are derived regarding linear matrix inequalities(LMIs)to study the global asymptotic stability of state-delay systems.Moreover, new stabilization conditions are also proposed for time-delay systems in this article. Both simulation and experimental results on a p H neutralizing process are provided to demonstrate the efficacy of the proposed method. 展开更多
关键词 Linear matrix inequality(LMI) non-monotonic LYAPUNOV-KRASOVSKII functional(NMLKF) pH NEUTRALIZATION plant STABILIZATION STATE-DELAY SYSTEM time-delay SYSTEM
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ROBUST DISSIPATIVE CONTROL FOR STATE-DELAYED SYSTEMS WITH DISSIPATIVE UNCERTAINTY
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作者 李志虎 邵惠鹤 《Journal of Shanghai Jiaotong university(Science)》 EI 2001年第2期165-170,共6页
This paper focused on a class of linear state-delayed systems with or without uncertainty. As for uncertain systems, dissipative uncertainty description contains norm-bounded and positive real uncertainties as special... This paper focused on a class of linear state-delayed systems with or without uncertainty. As for uncertain systems, dissipative uncertainty description contains norm-bounded and positive real uncertainties as special cases. The paper is concerned with the design of dissipative static state feedback controllers such that the closed-loop system is (robustly) asymptotically stable and strictly (Q,S,R)-dissipative. Sufficient conditions for the existence of the quadratic dissipative state feedback controllers are obtained by using a linear matrix inequality (LMI) approach. It is shown that the solvability of dissipative controller design problem is implied by the feasibility of LMIs. The main results of this paper unify the existing results on H ∞ control and passive control. 展开更多
关键词 robust dissipative control state-delayed systems dissipative uncertainty linear matrix inequalities
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A Sliding Mode Control for Uncertain Time-delay Systems
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作者 吴军生 翁正新 +1 位作者 田作华 施颂椒 《Journal of Donghua University(English Edition)》 EI CAS 2008年第3期297-303,共7页
By means of the feasibility of some linear matrix inequalities(LMIs),delay dependent sufficient condition is derived for the existence of a linear sliding surface,which guarantees quadratic stability of the reduced-or... By means of the feasibility of some linear matrix inequalities(LMIs),delay dependent sufficient condition is derived for the existence of a linear sliding surface,which guarantees quadratic stability of the reduced-order equivalent system restricted to the sliding surface.And a reaching motion controller is proposed.A numerical simulation shows the effectiveness of the approach. 展开更多
关键词 sliding mode control time varying state-delay UNCERTAINTY linear matrix inequality (LMI)
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Iterative learning control for nonlinear systems with uncertain state delay and arbitrary initial error 被引量:3
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作者 Hongbin WANG Yan WANG 《控制理论与应用(英文版)》 EI 2011年第4期541-547,共7页
Most of the existing iterative learning control algorithms proposed for time-delay systems are based on the condition that the time-delay is precisely available, and the initial state is reset to the desired one or a ... Most of the existing iterative learning control algorithms proposed for time-delay systems are based on the condition that the time-delay is precisely available, and the initial state is reset to the desired one or a fixed value at the start of each operation, which makes great limitation on the practical application of corresponding results. In this paper, a new iterative learning control algorithm is studied for a class of nonlinear system with uncertain state delay and arbitrary initial error. This algorithm needs to know only the boundary estimation of the state delay, and the initial state is updated, while the convergence of the system is guaranteed. Without state disturbance and output measurement noise, the system output will strictly track the desired trajectory after successive iteration. Furthermore, in the presence of state disturbance and measurement noise, the tracking error will be bounded uniformly. The convergence is strictly proved mathematically, and sufficient conditions are obtained. A numerical example is shown to demonstrate the effectiveness of the proposed approach. 展开更多
关键词 Iterative learning control State-delay system Initial condition Uncertain disturbances
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Novel Non-monotonic Lyapunov-Krasovskii Based Stability Analysis and Stabilization of Discrete State-delay System 被引量:1
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作者 Younes Solgi Alireza Fatehi Ala Shariati 《International Journal of Automation and computing》 EI CSCD 2020年第5期713-732,共20页
This paper proposes a novel less-conservative non-monotonic Lyapunov-Krasovskii stability approach for stability analysis of discrete time-delay systems.In this method,monotonically decreasing requirements of the Lyap... This paper proposes a novel less-conservative non-monotonic Lyapunov-Krasovskii stability approach for stability analysis of discrete time-delay systems.In this method,monotonically decreasing requirements of the Lyapunov-Krasovskii method are replaced with non-monotonic ones.The Lyapunov-Krasovskii functional is allowed to increase in some steps,but the overall trend should be decreasing.The model of practical systems used for stability analysis usually contain uncertainty.Therefore,firstly a non-monotonic stability condition is derived for certain discrete time-delay systems,then robust non-monotonic stability conditions are proposed for uncertain systems.Finally,a novel stabilization algorithm is derived based on the introduced non-monotonic stability condition.The Lyapunov-Krasovskii functional and the controller are obtained by solving a set of linear matrix inequalities(LMI)or iterative LMI based nonlinear minimization.The proposed theorems are first evaluated by some numerical examples,and then by simulation and implementation on the pH neutralizing process plant. 展开更多
关键词 Lyapunov-Krasovskii functional discrete state-delay systems non-monotonic Lyapunov function robust stability STABILIZATION
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