New Approach to Observer-Based Finite-Time H∞ Control of Discrete-Time One-Sided Lipschitz Systems with Uncertainties

Authors

  • Xinyue Tang School of Mathematical Sciences, Tiangong University, Tianjin, 300387, China
  • Yali Dong School of Mathematical Sciences, Tiangong University, Tianjin, 300387, China
  • Meng Liu School of Mathematical Sciences, Tiangong University, Tianjin, 300387, China

DOI:

https://doi.org/10.30564/jeis.v4i2.4684

Abstract

This paper investigates the finite-time H∞ control problem for a class of nonlinear discrete-time one-sided Lipschitz systems with uncertainties. Using the one-sided Lipschitz and quadratically inner-bounded conditions, the authors derive less conservative criterion for the controller design and observer design. A new criterion is proposed to ensure the closedloop system is finite-time bounded (FTB). The sufficient conditions are established to ensure the closed-loop system is H∞ finite-time bounded (H∞ FTB) in terms of matrix inequalities. The controller gains and observer gains are given. A numerical example is provided to demonstrate the effectiveness of the proposed results.

Keywords:

Finite-time H∞ boundedness; Discrete-time systems; One-sided Lipschitz system; Observer-based control

References

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How to Cite

Tang, X., Dong, Y., & Liu, M. (2022). New Approach to Observer-Based Finite-Time H∞ Control of Discrete-Time One-Sided Lipschitz Systems with Uncertainties. Journal of Electronic & Information Systems, 4(2), 1–9. https://doi.org/10.30564/jeis.v4i2.4684