Iterative Learning Control for Uncertain Singular System

Piao, Fengxian; Zhang, Qingling; Wang, Zhefeng

doi:10.1109/icia.2006.305974

Cited by 13 publications

(11 citation statements)

References 2 publications

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“…From the control point of view, it is also necessary to study the ILC for singular systems. Until now, there are few results reported on introducing ILC methods to studying of tracking control for singular systems [12,13]. Recently, increasing attentions are paid to fractional differential equations and their applications in various science and engineering fields [14,15].…”

Section: U T F U T E T E T Y T Y Tmentioning

confidence: 99%

Fractional-order iterative learning control for singular fractional- order system: (P) - PDa type

Lazarević¹,

Djurovic²,

Cvetković³

et al. 2016

Sci Tech Rev

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Iterative learning control (ILC) is one of the recent topics in control theories and it is suitable for controlling a wider class of mechatronic systems -it is especially suitable for the motion control of robotic systems. This paper addresses the problem of application of fractional order ILC for fractional order singular system. Particularly, we study fractional order singular systems in the pseudo-state space. An closed-loop fractional order PDalpha type ILC of the fractional-order singular system is investigated. Also, open-closed loop of the fractional order P-PDa type ILC is considered. Sufficient conditions for the convergence in the time domain of the proposed ILC schemes are given by the corresponding theorems and proved. Finally, numerical simulations show the feasibility and effectiveness of the proposed approach.

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Section: U T F U T E T E T Y T Y Tmentioning

confidence: 99%

Fractional-order iterative learning control for singular fractional- order system: (P) - PDa type

Lazarević¹,

Djurovic²,

Cvetković³

et al. 2016

Sci Tech Rev

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“…From the control point of view it is also necessary to study I the ILC for singular systems.When dealing with the ILC issue of singular systems, it becomes far more interesting and challenging, and the ILC problem of such systems has been widely discussed so far. In [20] the convergence results for a continuous linear time-invariant singular system is proposed by the close-loop PD-type iterative learning control algorithm. Further, in [21], a new iterative learning control algorithm to study the state tracking for a class of singular systems is proposed and the convergence of the algorithm is completely analyzed.…”

Section: Introductionmentioning

confidence: 99%

Closed-loop iterative learning control for fractional-order linear singular time-delay system: PDα-type

Lazarević¹,

Cvetković²,

Mandić³

2018

Sci Tech Rev

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In this paper a closed-loop PD α-type iterative learning control (ILC) of fractional order linear singular time-delay system is considered. The sufficient conditions for the convergence in time domain of the proposed PD-alpha type ILC for a class of fractional order singular system are given by the corresponding theorem together with its proof. Also, for the first time, we proposed a proposed ILC PD α type for a given class of uncertain, fractional order, singular systems. Finally, the validity of the proposed PD α ILC scheme for a class of fractional order singular time-delay system is verified by a numerical example.

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“…Hitherto, many significant results based on the theory of normal systems have been successfully extended to singular systems and the related research has been published (see [9][10][11][12][13] and the references therein). Meanwhile, there is some work which has been reported on the ILC for singular systems, but most of it has focused mainly on the continue-time singular systems (see [14][15][16][17]). For instance, reference [14] analyzed the convergence of D-type and PD-type closed-loop learning algorithms for linear singular systems in the sense of the Frobenius norm.…”

Section: Introductionmentioning

confidence: 99%

“…Meanwhile, there is some work which has been reported on the ILC for singular systems, but most of it has focused mainly on the continue-time singular systems (see [14][15][16][17]). For instance, reference [14] analyzed the convergence of D-type and PD-type closed-loop learning algorithms for linear singular systems in the sense of the Frobenius norm. Based on the Weierstrass canonical form of singular systems, reference [15] proposed a P-type ILC algorithm for the fast subsystems with impulse.…”

Section: Introductionmentioning

confidence: 99%

“…For instance, reference [14] analyzed the convergence of D-type and PD-type closed-loop learning algorithms for linear singular systems in the sense of the Frobenius norm. Based on the Weierstrass canonical form of singular systems, reference [15] proposed a P-type ILC algorithm for the fast subsystems with impulse. In [16], the ILC technique was applied to a class of singular systems with state delay, then the convergence of the algorithm and the possibility of the state tracking were analyzed.…”

Section: Introductionmentioning

confidence: 99%

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Iterative learning control for a class of discrete-time singular systems

Tian

Liu

2018

Adv Differ Equ

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This paper is concerned with the iterative learning control problem for a class of discrete-time singular systems. According to the characteristics of the systems, a closed-loop PD-type learning algorithm is proposed and the convergence condition of the algorithm is established. It is shown that the algorithm can guarantee the system output converges to the desired trajectory on the whole time interval. Moreover, the presented algorithm is also suitable for discrete-time singular systems with state delay. Finally, the validity of the presented algorithm is verified by two numerical examples.

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Iterative Learning Control for Uncertain Singular System

Cited by 13 publications

References 2 publications

Fractional-order iterative learning control for singular fractional- order system: (P) - PDa type

Fractional-order iterative learning control for singular fractional- order system: (P) - PDa type

Closed-loop iterative learning control for fractional-order linear singular time-delay system: PDα-type

Iterative learning control for a class of discrete-time singular systems

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