Robust gain-scheduled control of linear parameter-varying systems with uncertain scheduling parameters in the presence of the time-invariant uncertainties

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ASRARI H.; MOHAMMADZAMAN I.; Allahverdizadeh F.

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Journal: Journal of Control Year:2021 | Volume:15 | Issue:1 Page(s): 1-19

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Title

Robust gain-scheduled control of linear parameter-varying systems with uncertain scheduling parameters in the presence of the time-invariant uncertainties

Author(s)

ASRARI H. | MOHAMMADZAMAN I. | Allahverdizadeh F. | Issue Writer Certificate

Keywords

Linear parameter-varying systems

Time-invariant parametric uncertainties

Gain-scheduling

State-feedback

Linear matrix inequalities

Abstract

In this paper, a new approach is presented to design a gain-scheduled State-feedback controller for uncertain Linear parameter-varying systems. It is supposed that the state-space matrices of them are the linear combination of the uncertain scheduling parameters. It is assumed that the existed uncertainties are of type of timeinvariant parametric uncertainties with specified intervals. Simultaneous presence of the concepts of the gainscheduling and the time-invariant uncertainties is a serious challenge. Because, the philosophy of the gainscheduling is variability with time. But, the Time-invariant parametric uncertainties are constant and unknown. To obviate this challenge, a robust State-feedback law is proposed that is robust against the time-invariant uncertainties. In this method, the arbitrary values are selected for the uncertainties from the defined intervals. But, the selected values are not necessarily equal to the true ones. Hence, the new scheduling parameters are presented to calculate the proposed controller. Finally, the proof of the proposed scheme is presented based on Lyapunov concept. To show the effectiveness of the final controller, the proposed method is simulated to stabilize the roll rate of a typical missile. Also, the simulation results are compared with the experimental ones in the presence of the INS (Inertial Navigation System) module.

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APA: Copy

ASRARI, H., MOHAMMADZAMAN, I., & Allahverdizadeh, F.. (2021). Robust gain-scheduled control of linear parameter-varying systems with uncertain scheduling parameters in the presence of the time-invariant uncertainties. JOURNAL OF CONTROL, 15(1 ), 1-19. SID. https://sid.ir/paper/961600/en

Vancouver: Copy

ASRARI H., MOHAMMADZAMAN I., Allahverdizadeh F.. Robust gain-scheduled control of linear parameter-varying systems with uncertain scheduling parameters in the presence of the time-invariant uncertainties. JOURNAL OF CONTROL[Internet]. 2021;15(1 ):1-19. Available from: https://sid.ir/paper/961600/en

IEEE: Copy

H. ASRARI, I. MOHAMMADZAMAN, and F. Allahverdizadeh, “Robust gain-scheduled control of linear parameter-varying systems with uncertain scheduling parameters in the presence of the time-invariant uncertainties,” JOURNAL OF CONTROL, vol. 15, no. 1 , pp. 1–19, 2021, [Online]. Available: https://sid.ir/paper/961600/en

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