Stability analysis of multiple time-delayed system

Zheng, Da-Zhong; Ren, Zhigang; Fang, Jian‐an

doi:10.1016/j.isatra.2008.02.003

Cited by 3 publications

(4 citation statements)

References 30 publications

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“…Moreover, the predictive PI controller has excellent robustness and stability. When the actual model parameters of the controlled object change in a certain range, it can also ensure the good performance of the negative feedback system [23,24]. The schematic diagram of predictive PI control is shown in Figure 4.…”

Section: Predictive Pi Controlmentioning

confidence: 99%

“…The predictive PI control algorithm combines the predictive strategy with th tional PI control method, and introduces the relevant closed-loop transfer functi the traditional PI control algorithm, so that the whole control strategy not only advantages of easy realization of the PI controller, but also has a predictive func the face of the first-order inertia lag model, the predictive PI control algorithm c prove the delay of the controlled object and optimize the whole control process effe Moreover, the predictive PI controller has excellent robustness and stability. Wh actual model parameters of the controlled object change in a certain range, it can a sure the good performance of the negative feedback system [23,24]. The schema gram of predictive PI control is shown in Figure 4.…”

Section: Predictive Pi Controlmentioning

confidence: 99%

“…Dimensionless step response curve y * (t) can be expressed as Equation (23). Measure the values of y * (t 1 ) and y * (t 2 ) corresponding to t 1 and t 2 on the response curve of the transfer function G(s), and then calculate the value of T and τ according to Equations ( 24) and (25).…”

Section: Determination Of Parameters T and τmentioning

confidence: 99%

See 2 more Smart Citations

Research on Cascaded Single Phase PFC Based on Predictive PI Control

Shi

Qian

2022

WEVJ

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In order to improve the charging speed and reduce the occupied volume of an electric vehicle charger, a single-phase boost power factor corrector (PFC) system with cascade CHB (cascaded H-bridge) topology was adopted. Due to the periodic fluctuation of single-phase AC input, there is a large double power frequency ripple component in the output voltage of an AC-DC converter. When capacitor voltage is used as output for feedback control, the control system has the characteristics of a non-minimum phase system. In light of these factors that affect the dynamic stability of the system, a control method is proposed to improve the dynamic characteristics of the system without affecting its steady-state performance. The predictive PI control strategy was adopted to predict the error input signal of the lag process to attenuate the jitter in the control system and improve the dynamic performance and anti-interference of the system. Finally, the feasibility of the scheme was verified by experiments.

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Section: Predictive Pi Controlmentioning

confidence: 99%

Section: Predictive Pi Controlmentioning

confidence: 99%

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Research on Cascaded Single Phase PFC Based on Predictive PI Control

Shi

Qian

2022

WEVJ

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“…Such systems are time-delay systems with (1 − e − θs )/θs, which bring great difficulties to the stability analysis of control systems. Zheng [32,33] uses the stability analysis method based on Kronecker's theory and Routh array to analyze the multi-timedelay system with coefficients and delay uncertainties.…”

Section: Combined Integrating Controller Robustness Analysismentioning

confidence: 99%

Combined Integrating Control Based on Dynamic Optimization Estimation

Chen

Ren

Fan

et al. 2020

Mathematical Problems in Engineering

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In this paper, a new type of controller based on the combined integrating systems is proposed, which is called a combined integrating controller. The controller’s current output is determined only by the current input and the average value of the controller’s previous output. The innovation is to introduce a time-delay positive feedback in the controller. The memory characteristics of the time-delay term keep accumulating error information and repeatedly learning so that the system can stably track and restrain any input signal without error. Simultaneously, the combined integrating controller is applied to conventional process systems based on dynamic optimization estimation in the case study to show absolute superiority over the nonpredictive control method (such as the classical PID control method).

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