2019
DOI: 10.1109/access.2019.2918186
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Improving Boundary Level Calculation in Quantized Iterative Learning Control With Encoding and Decoding Mechanism

Abstract: This paper investigates an iterative learning control for single-input, single-output, and linear time-invariant discrete system. The special design of the learning gain matrix is introduced, where a finite uniform quantizer is incorporated with an encoding and decoding mechanism to realize the zero-error convergence of a tracking problem. Furthermore, the boundary-level calculation is considerably improved using lifting technique and infinity-norm of vectors under this mechanism. Some illustrations of the sim… Show more

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Cited by 8 publications
(6 citation statements)
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“…The proposed scheme achieves zero‐error tracking performance. Whereafter, the tight upper bounds of quantization level are established using the lifting method for a linear system, 45 where the computed upper bounds are considerably close to the actual maximum input value. This is superior for the practical selection of the finite‐level uniform quantizer and vitally improves the existing results 30,40,44 …”
Section: Introductionmentioning
confidence: 99%
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“…The proposed scheme achieves zero‐error tracking performance. Whereafter, the tight upper bounds of quantization level are established using the lifting method for a linear system, 45 where the computed upper bounds are considerably close to the actual maximum input value. This is superior for the practical selection of the finite‐level uniform quantizer and vitally improves the existing results 30,40,44 …”
Section: Introductionmentioning
confidence: 99%
“…This study is a deeper investigation of the mechanism and algorithm design of NCSs based on previous studies 30,39,40,44,45 . Specifically, the problems of quantized iterative learning control (QILC) for a generally networked structure, 30 and QILC combined with an encoding–decoding mechanism for an unreliable communication network at the measurement side 44 have been considered.…”
Section: Introductionmentioning
confidence: 99%
“…In the repeated operation process, based on previous information, iterative learning control (ILC) adopts the iterative method to make the change process of the control quantity gradually approach the expected change process [3]- [5]. ILC has been applied in many different control fields [1], [6]- [9]. The conventional iterative learning control strategy was adopted to control the piezoelectric actuators in [1], results showed that it is superior to pure proportional-integral (PI) controller.…”
Section: Introductionmentioning
confidence: 99%
“…On the other hand, the design and convergence analysis of an ILC with data quantization is also significant and several achievements have been made using quantizers to quantify the output data, input data, and tracking error, respectively (Bu et al, 2015; Huo and Shen 2019a; Shen and Xu, 2016, 2017; Xiong et al, 2017; Zhang and Li, 2017). In Bu et al (2015), the convergence of ILC with output quantization is proved for a linear system.…”
Section: Introductionmentioning
confidence: 99%
“…The consensus tracking problem of quantized iterative learning controllers for digital networks with time-varying topologies is discussed for linear systems in Xiong et al (2017). Both a probability quantizer and a finite uniform quantizer-based ILC method have been proposed for linear systems, respectively, in Shen and Xu (2017) and Huo and Shen (2019a) for the zero-error tracking problem. An extended result for linear discrete-time systems has been proposed in Huo and Shen (2019b) by combining random data dropouts.…”
Section: Introductionmentioning
confidence: 99%