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Event-triggered \(\mathcal {H}_{\infty }\) controller design for Lurie systems with switching exponential time-varying gains

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Abstract

This paper considers event-triggered \(\mathcal {H}_{\infty }\) control for Lurie systems with switching exponential time-varying gains. An extended switched event-triggered mechanism (ESETM) is proposed by incorporating the state information at the latest triggered instant into the threshold function. A piecewise \(\mathcal {H}_{\infty }\) control law, which includes switching exponential time-varying gains, is introduced. With the aid of a coordinate transformation and a piecewise Lyapunov function, a control approach that ensures the exponential stability of the Lurie system without interference is developed. On this basis, the desired event-triggered \(\mathcal {H}_{\infty }\) controller is designed for the Lurie system with interference. Finally, a flexible joint manipulator model is used to validate the superiority of the proposed ESETM-based \(\mathcal {H}_{\infty }\) controller design.

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Funding

This work was supported by the Natural Science Foundation of the Anhui Higher Education Institutions (Grant Nos. 2022AH050290 and 2022AH050310).

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Authors and Affiliations

  1. School of Computer Science and Technology, Anhui University of Technology, Ma’anshan, 243032, China

    Zhiwei Wan, Xiaofeng Ma, Yu Zhang, Taiping Jiang & Jianping Zhou

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  1. Zhiwei Wan
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  2. Xiaofeng Ma
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  3. Yu Zhang
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  4. Taiping Jiang
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  5. Jianping Zhou
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Correspondence to Taiping Jiang or Jianping Zhou.

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Wan, Z., Ma, X., Zhang, Y. et al. Event-triggered \(\mathcal {H}_{\infty }\) controller design for Lurie systems with switching exponential time-varying gains. Comp. Appl. Math. 42, 281 (2023). https://doi.org/10.1007/s40314-023-02415-6

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  • DOI: https://doi.org/10.1007/s40314-023-02415-6

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