Reset control approximates complex order transfer functions

Valério, Duarte; Saikumar, Niranjan; Dastjerdi, Ali Ahmadi; Karbasizadeh, Nima; HosseinNia, S. Hassan

doi:10.1007/s11071-019-05130-2

Cited by 24 publications

(23 citation statements)

References 12 publications

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“…Because of the phase lead provided by CR CgLp, it is expected that CgLp+PI n D show a lower overshoot as compared to PI n D. While this expectation holds, for reset control systems, PM is not the only parameter affecting the transient response. In CR CgLp controllers, ω l also significantly affects the transient response, since as discussed in (9), the resetting condition in closed-loop changes. The effect of presence of CR CgLp and variation ω l on the step response of the CR CgLp+PID control system has been simulated in Simulink environment of Matlab and presented Fig.…”

Section: Closed-loop Transient Responsementioning

confidence: 99%

“…In order to address the drawbacks and exploiting the benefits, the idea was later extended to more sophisticated elements such as "First-Order Reset Element" [4], [5] and "Second-Order Reset Element" [6] or using Clegg's integrator in form of PI+CI [7] or resetting the state to a fraction of its current value, known as partial resetting [8]. Reset control has also recently been used to approximate the complex-order filters [9], [10]. Advantage of using reset control over linear control has been shown in many studies especially in precision motion control [8], [11]- [15], [15]- [19].…”

Section: Introductionmentioning

confidence: 99%

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Stacking Integrators Without Sacrificing the Overshoot in Reset Control Systems

Karbasizadeh,

HosseinNia

2021

Preprint

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According to the well-known loop-shaping control design approach, the steady-state precision of control systems can be improved by stacking integrators. However, due to the waterbed effect in linear control systems, such an action will worsen the transient response by increasing overshoot and creating wind-up problems. This paper presents a new architecture for rest control systems that can significantly decrease the overshoot and create a no-overshoot performance even in presence of stacked integrators. The steady-state analysis of the proposed system will also show that improved precision expected due to stacked integrators can be achieved as well.A numerical simulation study is presented to verify the results and the tuning guide presented.

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Section: Closed-loop Transient Responsementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stacking Integrators Without Sacrificing the Overshoot in Reset Control Systems

Karbasizadeh,

HosseinNia

2021

Preprint

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“…In almost all of the reset elements studied in the literature, all of the coupled states of the reset element reset [7,18,19]. In other words, there is no coupling between a reset and a non-reset state in the architecture of a reset element.…”

Section: Introductionmentioning

confidence: 99%

“…Fractional-order derivatives and integrals have been used for control designs like Fractional PID [21][22][23][24] or CRONE control [25][26][27]. Recently, fractionalorder elements have also been used within reset elements [19,[28][29][30] in order to approximate complexorder behaviour.…”

Section: Introductionmentioning

confidence: 99%

Fractional-order single state reset element

2021

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This paper proposes a fractional-order reset element whose architecture allows for the suppression of nonlinear effects for a range of frequencies. Suppressing the nonlinear effects of a reset element for the desired frequency range while maintaining it for the rest is beneficial, especially when it is used in the framework of a “Constant in gain, Lead in phase” (CgLp) filter. CgLp is a newly introduced nonlinear filter, bound to circumvent the well-known linear control limitation—the waterbed effect. The ideal behaviour of such a filter in the frequency domain is unity gain while providing a phase lead for a broad range of frequencies. However, CgLp’s ideal behaviour is based on the describing function, which is a first-order approximation that neglects the effects of the higher-order harmonics in the output of the filter. Although CgLp is fundamentally a nonlinear filter, its nonlinearity is not required for all frequencies. Thus, it is shown in this paper that using the proposed reset element architecture, CgLp gets closer to its ideal behaviour for a range of frequencies, and its performance will be improved accordingly.

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“…This means that introducing non-linear reset control favours the freedom of design and improves the stability margins. Recent research on reset control can be found in [3]- [8].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Feedforward Control For Reset Feedback Control Systems -- Application in Precision Motion Control

Brummelhuis¹,

Saikumar²,

Wingerden³

et al. 2020

Preprint

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This paper presents a novel adaptive feedforward controller design for reset control systems. The combination of feedforward and reset feedback control promises high performance as the feedforward guarantees reference tracking, while the non-linear feedback element rejects disturbances. To overcome inevitable model mismatches, the feedforward controller adapts to increase precision in reference tracking. Where linear existing adaptive feedforward controllers do not guarantee convergence in the presence of reset, this work presents a novel adaptive law based on converging and diverging regions of adaptation to achieve good tracking. Experimental results demonstrate the claimed advantage of the novel method.

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Reset control approximates complex order transfer functions

Abstract: Important note To cite this publication, please use the final published version (if applicable). Please check the document version above.

Cited by 24 publications

References 12 publications

Stacking Integrators Without Sacrificing the Overshoot in Reset Control Systems

Stacking Integrators Without Sacrificing the Overshoot in Reset Control Systems

Fractional-order single state reset element

Adaptive Feedforward Control For Reset Feedback Control Systems -- Application in Precision Motion Control

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