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ISS of predictor feedback for multi-input affine nonlinear systems with distinct input delays

Author

Listed:
  • Xiushan Cai
  • Dingchao Wang
  • Jie Wu
  • Xisheng Zhan

Abstract

We develop a predictor feedback control scheme for multi-input affine nonlinear systems with distinct input delays in each individual input channel and additive disturbances. The input-to-state stable control Lyapunov function (ISS-CLF) is used to design control laws for the delay-free affine nonlinear systems. Then, a predictor-feedback controller is constructed for this class of nonlinear systems with input delays. We establish input-to-state stability with respect to additive plant disturbances, as well as we show that the control law derives gain margin guarantees. Our proofs are based on the infinite-dimensional backstepping transformation and the construction of a Lyapunov functional. The developed method is applied to the control of vehicular traffic flow at distant bottlenecks.

Suggested Citation

  • Xiushan Cai & Dingchao Wang & Jie Wu & Xisheng Zhan, 2020. "ISS of predictor feedback for multi-input affine nonlinear systems with distinct input delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(13), pages 2326-2342, October.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:13:p:2326-2342
    DOI: 10.1080/00207721.2020.1793238
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