LMI Approach to Exponential Stabilization of Distributed Parameter Control Systems with Delay

Luo, Yiping; Xia, Wenhua; Liu, Guorong; Deng, Fujin

doi:10.3724/sp.j.1004.2009.00299

Cited by 7 publications

(5 citation statements)

References 8 publications

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“…The study of system stability has always been one of the most basic and important problems in distributed parameter systems. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] At present, several control methods have been proposed for various distributed parameter systems, such as robust control, 5 adaptive control, 6,7 sliding mode control, 8 pulse control, 9 boundary control, [11][12][13] and parallel control. 14 With the development of artificial intelligence, intermittent control 10,[19][20][21][22] has attracted more attention.…”

Section: Introductionmentioning

confidence: 99%

“…In the stability analysis of the system, widely used stability concepts such as Lyapunov stability and BIBO stability focus on the system behavior in the infinite time interval in the early stage. [1][2][3][4][5][6][7][8][9][10] However, in practice, the system is expected to be stable in finite time. In the 1960s, Weiss et al first proposed the concept of finite-time convergent stability, and many achievements on finite-time stability have emerged.…”

Section: Introductionmentioning

confidence: 99%

“…The study of system stability has always been one of the most basic and important problems in distributed parameter systems 1–18 . At present, several control methods have been proposed for various distributed parameter systems, such as robust control, 5 adaptive control, 6,7 sliding mode control, 8 pulse control, 9 boundary control, 11–13 and parallel control 14 .…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Finite‐time stable of time‐varying delay distributed parameter systems with input saturation via periodically intermittent control

Xia

Luo

Zhou³

2023

Math Methods in App Sciences

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A class of time-varying delay distributed parameter systems with input saturation is investigated in this paper. The periodic intermittent control method is adopted to make the system stable in finite time, improve the control performance of the system, and save on control cost. A periodic intermittent controller combined saturated input is designed to ensure the stability of the proposed system in finite time. Lyapunov-Krasoviskii stability theory and matrix inequality techniques are used to analyze the finite-time stability of the system, and sufficient conditions for the system to be stable in finite time are obtained. Finally, the correctness of the theorems is verified by simulation experiments.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Finite‐time stable of time‐varying delay distributed parameter systems with input saturation via periodically intermittent control

Xia

Luo

Zhou³

2023

Math Methods in App Sciences

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“…Active control includes blowing and suction [5], plasma control [6], synthetic jet [7], etc. Sweeping jet actuator is a typical active control technology that converts a stable jet into an oscillating jet by utilizing flow instability.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Flow Separation Control over an NACA0018 Airfoil Using Sweeping Jet Actuator

Gao,

Zhao,

Ding

et al. 2023

WJET

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As an active flow control technology and with the advantages of no moving components, the Sweeping jet actuator has become a hotspot in the field of flow control. However, the linear relationship between oscillation frequency and momentum coefficient in a sweeping jet actuator makes it difficult to determine the dominant factors that affect control effectiveness. Decoupling the oscillation frequency and momentum coefficient, as well as determining the control mechanism, is the focus of studying the sweeping jet actuator. In this study, a novel sweeping jet actuator is designed using synthetic jets instead of feedback channels and applied to the flow separation control of NACA0018 airfoil. This article studies the control effect under three oscillation frequencies of F + = f × c/U ∞ = 1, 10, 100 and three momentum coefficients of C μ = 0.45%, 0.625%, 0.9%. The numerical results indicate that all three oscillation frequencies have good control effects on flow separation, and the control effect is best when F + = 1, with the maximum lift coefficient increasing by approximately 14% compared to the other two cases. And the sweeping jet actuator has a better ability to control flow separation as the momentum coefficient increases. By decoupling the characteristics of the sweeping jet actuator and conducting numerical analysis of the flow control effect, it will promote its better engineering application in the field of flow control.

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Some extended Wirtinger׳s inequalities and distributed proportional-spatial integral control of distributed parameter systems with multi-time delays

Wang

2015

Journal of the Franklin Institute

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LMI Approach to Exponential Stabilization of Distributed Parameter Control Systems with Delay

Cited by 7 publications

References 8 publications

Finite‐time stable of time‐varying delay distributed parameter systems with input saturation via periodically intermittent control

Finite‐time stable of time‐varying delay distributed parameter systems with input saturation via periodically intermittent control

Numerical Investigation of Flow Separation Control over an NACA0018 Airfoil Using Sweeping Jet Actuator

Some extended Wirtinger׳s inequalities and distributed proportional-spatial integral control of distributed parameter systems with multi-time delays

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