Skip to main content
SpringerLink
Log in

Static output feedback control for uncertain Roesser-type continuous-time two-dimensional piecewise affine systems

  • Letter
  • Published:
Science China Information Sciences Aims and scope Submit manuscript

Conclusion

In this study, a class of 2-D piecewise Lyapunov functions are constructed, together with a descriptor system approach, based on which a novel design method for 2-D PWA SOF controllers is proposed for uncertain Roesser-type continuous-time 2-D PWA systems. It is shown that with the proposed less-conservative control method the closed loop system achieves asymptotic stability with optimal \({{\cal H}_\infty }\) performance γmin. Simulation studies (shown in Appendix D) are given to show the effectiveness and less conservativeness of the proposed controller design results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Du C, Xie L, Zhang C. \({{\cal H}_\infty }\) control and robust stabilization of two-dimensional systems in Roesser models. Automatica, 2001, 37: 205–211

    Article  MathSciNet  MATH  Google Scholar 

  2. Zhao D, Ding S X, Karimi H R, et al. Robust \({{\cal H}_\infty }\) filtering for two-dimensional uncertain linear discrete time-varying systems: a Krein space-based method. IEEE Trans Automat Contr, 2019, 64: 5124–5131

    Article  MathSciNet  MATH  Google Scholar 

  3. Rantzer A, Johansson M. Piecewise linear quadratic optimal control. IEEE Trans Automat Contr, 2000, 45: 629–637

    Article  MathSciNet  MATH  Google Scholar 

  4. Lu K, Yang Q, Chen G. Singular cycles and chaos in a new class of 3D three-zone piecewise affine systems. Chaos, 2019, 29: 043124

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

This work was supported in part by National Natural Science Foundation of China (Grant Nos. 62003139, U21B6001, 62073143, 61922063, 62173146), Natural Science Foundation of Shanghai (Grant Nos. 20ZR1415200, 22ZR1416200), and Natural Science Foundation of Shaanxi Province (Grant No. 2020JQ-211).

Author information

Authors and Affiliations

  1. Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai, 200237, China

    Meng Wang, Huaicheng Yan & Zhichen Li

  2. Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, 150080, China

    Jianbin Qiu

  3. School of Astronautics, Northwestern Polytechnical University, Xi’an, 710072, China

    Yue Li

Authors
  1. Meng Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jianbin Qiu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Huaicheng Yan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Zhichen Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Yue Li
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Meng Wang.

Additional information

Supporting information

Appendixes A—D. The supporting information is available online at info.scichina.com and link.springer.com. The supporting materials are published as submitted, without typesetting or editing. The responsibility for scientific accuracy and content remains entirely with the authors.

Supplementary File

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, M., Qiu, J., Yan, H. et al. Static output feedback control for uncertain Roesser-type continuous-time two-dimensional piecewise affine systems. Sci. China Inf. Sci. 65, 219204 (2022). https://doi.org/10.1007/s11432-021-3486-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11432-021-3486-9

Search

Navigation