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Stability analysis of linear time-delay differential inclusion systems subject to input saturation

Stability analysis of linear time-delay differential inclusion systems subject to input saturation

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Stability analysis of linear differential inclusion systems with time-delay and input saturation is devoted in this study. The convex hull Lyapunov function is used to construct Lyapunov–Krasovskii functionals. A continuous state feedback law is designed. By the state feedbacks, sufficient conditions for saturated stabilisation are acquired and the domain of attraction is estimated. Furthermore, disturbance rejection with minimal reachable set is studied under two types of disturbances. Moreover, least L2 gain is obtained under the unit energy disturbances. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design technique.

References

    1. 1)
      • P. Loewen , R. Rockafellar . Optimal control of unbounded differential inclusions. SIAM J. Control and Optim. , 442 - 470
    2. 2)
      • G. Smirnov . (2002) Introduction to the theory of differential inclusions.
    3. 3)
      • D. Angeli , B. Ingalls , D. Sontag , Y. Wang . Uniform global aysmptotic stability of differential inclusions. J. Dyn. Control Syst. , 391 - 412
    4. 4)
      • M. Krastanov , N. Ribarska , T. Tsachev . On the existence of solutions to differential inclusions with nonconvex right-hand sides. SIAM J. Control Optim. , 733 - 751
    5. 5)
      • S. Boyd , L. Ei Ghaoui , E. Feron , V. Balakrishnan . (1994) Linear martrix inequalities in systems and control theory.
    6. 6)
      • M. Bichegkuev . On a weakened Cauchy problem for a linear differential inclusion. Math. Notes , 483 - 487
    7. 7)
      • X. Cai , L. Liu , W. Zhang . Saturated control design for linear differential inclusions subject to disturbance. Nonlinear Dyn. , 487 - 496
    8. 8)
      • T. Hu , Z. Lin . Composite quadratic Lyapunov functions for constrained control systems. IEEE Trans. Autom. Control , 440 - 450
    9. 9)
      • G. Rafal , A. Teel , T. Hu , Z. Lin . Conjugate convex Lyapunov functions for dual linear differential inclusions. IEEE Trans. Autom. Control , 661 - 666
    10. 10)
      • T. Hu . Nonlinear control design for linear differential inclusions via convex hull of quadratics. Automatica , 685 - 692
    11. 11)
      • T. Hu , A. Teel , L. Zaccarian . Stability and performance for saturated systems via quadratic and nonquadratic Lyapunov function. IEEE Trans. Autom. Control , 1770 - 1786
    12. 12)
      • T. Hu , Z. Lin , B. Chen . An analysis and design method for linear systems subject to actuator saturation and disturbance. Automatica , 351 - 359
    13. 13)
      • T. Hu , Z. Lin , B. Chen . Analysis and design for discrete-time linear systems subject to actuator saturation. Syst. Control Lett. , 97 - 112
    14. 14)
      • M. Jankovic . Control Lyapunov–Razumikhin functions and robust stabilisation of time delay systems. IEEE Trans. Autom. Control , 1048 - 1060
    15. 15)
      • Y. Cao , Z. Lin , T. Hu . Stability analysis of linear time-delay systems subject to input saturation. IEEE Trans. Circuits Syst. , 233 - 240
    16. 16)
      • F. Mazenc , P. Bliman . Backstepping design for time-delay nonlinear system. IEEE Trans. Autom. Control , 149 - 154
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