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Dissipativity-based iterative learning control for singular systems

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE 2024年第7期55卷 1410-1419页

作者： Zhang, Meiyu Gu, panpan Tian, Senping South China Univ Technol Sch Automat Sci & Engn Guangzhou Peoples R China Hefei Univ Technol Sch Elect Engn & Automat Hefei Peoples R China

In this paper, the framework of dissipativity-based iterative learning control for singular systems (SSs) is established for the first time. Firstly, under the p-type learning algorithm, it has been demonstrated that the dissipative SSs can achieve the accurate tracking for the desired trajectory in a finite time interval. Secondly, a sufficient condition for the SSs to satisfy dissipativity is given by using the linear matrix inequality (LMI) method, and the solvability criterion of the LMI is further presented. Moreover, the relationship between dissipativity and positive realness is revealed. Finally, two examples are given to verify the effectiveness of the proposed method.

关键词： Singular systems iterative learning control dissipativity p-type learning algorithm positive realness

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Learnability of Linear Fractional-Order ILC Systems

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IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXpRESS BRIEFS 2021年第3期68卷 963-967页

作者： Gu, panpan Chen, YangQuan Tian, Senping South China Univ Technol Sch Automat Sci & Engn Guangzhou 510640 Peoples R China Univ Calif Merced Sch Engn Merced CA 95343 USA

The problem of learnability of linear fractional-order systems is investigated, where the systems have the same dimensions of input and output. Firstly, we show from the viewpoint of dissipativity that why a p-type learning algorithm can enable such systems to possess the perfect tracking capability over a finite time interval. Then, two criteria are provided for determining the dissipative property of fractional-order systems. Moreover, the relationship between learnability and strictly positive real is given, it is shown that the strictly positive real implies the learnability of fractional-order systems with an extra condition. Finally, the correctness of the obtained main results is illustrated with an example.

关键词： Learnability linear fractional-order systems p-type learning algorithm dissipativity strictly positive real

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High-order internal model-based iterative learning control design for nonlinear distributed parameter systems

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INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 2020年第14期30卷 5404-5417页

作者： Gu, panpan Tian, Senping South China Univ Technol Sch Automat Sci & Engn Guangzhou 510640 Peoples R China

This article deals with the problem of iterative learning control algorithm for a class of nonlinear parabolic distributed parameter systems (DpSs) with iteration-varying desired trajectories. Here, the variation of the desired trajectories in the iteration domain is described by a high-order internal model. According to the characteristics of the systems, the high-order internal model-based p-type learning algorithm is constructed for such nonlinear DpSs, and furthermore, the corresponding convergence theorem of the presented algorithm is established. It is shown that the output trajectory can converge to the desired trajectory in the sense of(L-2,lambda)-norm along the iteration axis within arbitrarily small error. Finally, a simulation example is given to illustrate the effectiveness of the proposed method.

关键词： iterative learning control iteration-varying desired trajectory high-order internal model nonlinear parabolic distributed parameter systems p-type learning algorithm

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Iterative learning Control for Switched Linear parabolic Systems in Space W1,2 28

Iterative Learning Control for Switched Linear Parabolic Sys...

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第28届中国控制与决策会议

作者： Gu panpan Fu Qin Li Xiangdong School of Mathematics and Physics Suzhou University of Science and Technology

ISBN: (纸本)9781467397155

This paper deals with the problem of iterative learning control for a class of switched linear parabolic systems in space ***,the considered switched systems with arbitrary switching rules are operated during a finite time interval *** to the characteristics of the systems,iterative learning control laws are proposed for such switched parabolic systems based on the p-type learning *** the contraction mapping method,it is shown that the algorithm can guarantee the output tracking errors on W space converge along the iteration axis.A simulation example illustrates the effectiveness of the proposed algorithm.

关键词： Switched linear parabolic systems Iterative learning control p-type learning algorithm W1,2 space

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