Limit Cycles in Sampled-Data Relay Feedback Systems

Bazanella, Alexandre Sanfelice; Parraga, Adriane

doi:10.1007/s40313-016-0239-1

Cited by 10 publications

(3 citation statements)

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“…Then, the calculations can be carried out in the discrete domain using similar state‐space analysis. An insight into discrete‐time implementation can be found in the work of [35, 36]. However, incorrect relay switching could be a problem in a discrete‐time system, detail of the problem and a probable solution has been proposed in [37].…”

Section: Resultsmentioning

confidence: 99%

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Relay‐based identification of Wiener model

Meher

Majhi

2020

IET Circuits, Devices & Systems

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Wiener model belongs to a broad class of non-linear model structures called the block-oriented models. Various chemical, biological and electrical processes can be represented as a Wiener structure. There are vast numbers of approaches to identify the Wiener model; however, most of them are only theoretically sound. Therefore, there is a need for developing an industrial grade, simple identification scheme. The present research work attempts to explore the possibility of identifying Wiener models using relay feedback identification technique, which has been applied efficiently but limited mostly to linear structures. Here, the authors consider not all but wider probable cases of the linear subsystem, which include real roots, complex conjugate roots, first-order, integrating second-order and repeated roots. The proposed method is simple and requires less prior knowledge about the system. The technique being somehow general can be applied effectively to linear and unstable systems as well. Various simulation examples are used to demonstrate the efficacy of the proposed identification scheme.

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Section: Resultsmentioning

confidence: 99%

“…With a relay setting of h = 1, ε = 0.2, various measurements on the limit cycles are done. Using (35), the time constant is found as T 1 = 3.0003 and the time delay is measured as θ = 1.0015. For the static gain, various points of v(t) in time range t 0 ⩽ t ⩽ t 01 is calculated using (42).…”

Section: Example 2: Sopdt Modelsmentioning

confidence: 99%

Relay‐based identification of Wiener model

Meher

Majhi

2020

IET Circuits, Devices & Systems

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“…In addition, several controller tuning techniques depend on a correct theoretical prediction of the limit cycles for obtaining their tuning formulas. Thus, the determination of the existence and stability of the limit cycles of RFS remain important issues until today (Bazanella and Parraga 2016;Yoon and Johnson 2018).…”

Section: Introductionmentioning

confidence: 99%

A Robust Relay Feedback Structure for Processes Under Disturbances: Analysis and Applications

Silva

Barros

2019

J Control Autom Electr Syst

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In this paper, a robust relay feedback structure is used to provide a stable oscillation under large static disturbances or drift. This relay structure is composed of a block to remove static disturbance or drift followed by a relay. The robust relay structure is analyzed using the describing function method. Furthermore, based on Poincaré map, the conditions for the existence and local stability of the limit cycle are obtained. In order to estimate multiple frequency points of the process, a step change and periodic square waves with frequencies lower than the ultimate frequency are applied at the process input. Thus, these frequencies information are used to identification of first-order plus time delay models over a wider frequency region. For these models, a phase adjustment is proposed from the frequencies information of the additional signal. From simulated and experimental studies, it is verified that the robust relay structure provides a symmetrical oscillation at the process output, independent of the disturbance in the process input and iterations between the loops.

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