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Robust event-triggered \({\varvec{H}}_{{\varvec{\infty }}}\) controller design for vehicle active suspension systems

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Abstract

In this paper, we investigate the event-triggered \(H_\infty \) controller synthesis issue for vehicle suspension systems with linear fractional uncertainties. An active suspension model of quarter-car is represented by the state-space form. In order to obtain a resource-aware state feedback controller for the system, we propose an event-triggered communication mechanism to check which measurements should be delivered to the controller for updating the control input. Together with the proposed event threshold condition, a piecewise continuous bounded function is introduced to model the intermittent updating intervals. Employing the Lyapunov functional method, we present a stability criterion for the controlled event-triggered active suspension system under parameter uncertainties and some physical constraints. Then, a design method for the event-triggered controller gain is obtained by utilizing some matrix transformations. An example is finally employed to illustrate the validness of the proposed method.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant 61603232, the ShanXi Science and Technology Department of China under Grant 201701D221100, and the Australian Research Council Discovery Projects under Grant DP160103567.

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Authors and Affiliations

  1. Department of Automation, Shanxi University, Taiyuan, 030006, China

    Yanpeng Guan & Huijuan Yao

  2. School of Software and Electrical Engineering, Swinburne University of Technology, Melbourne, VIC, 3122, Australia

    Qing-Long Han & Xiaohua Ge

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  1. Yanpeng Guan
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  2. Qing-Long Han
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  3. Huijuan Yao
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  4. Xiaohua Ge
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Correspondence to Yanpeng Guan or Qing-Long Han.

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Guan, Y., Han, QL., Yao, H. et al. Robust event-triggered \({\varvec{H}}_{{\varvec{\infty }}}\) controller design for vehicle active suspension systems. Nonlinear Dyn 94, 627–638 (2018). https://doi.org/10.1007/s11071-018-4381-0

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  • DOI: https://doi.org/10.1007/s11071-018-4381-0

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