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Universal output feedback and Nussbaum gain adaptive control of supersonic missiles with unknown control direction

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Abstract

Based on the previous works in Lei and Lin (Syst Control Lett 56:529–537, 2007) and Kim et al. (Control Eng Pract 12:149–154, 2004) two kinds of novel universal output feedback controllers are proposed to solve the unmeasurable states problem for a uncertain missile system. Furthermore, in order to solve the unknown control direction problem which is not considered in the above reference, the unilateral Nussbaum gain method is adopted. Finally, to integrate the universal output feedback method with the Nussbaum gain method better, a special regulation law for the controller is designed to update the Nussbaum gain. Also, the numerical simulation result testified the rightness of this method.

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References

  • Bechlioulis, C.P., Rovithakis, G.A.: Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems. Automatica 45, 532–538 (2009)

    Article  MathSciNet  Google Scholar 

  • Chen, W.: Adaptive NN control for discrete-time pure-feedback systems with unknown control direction under amplitude and rate actuator constraints. ISA Trans. 48, 304–311 (2009)

    Article  Google Scholar 

  • Fuh, C.C., Tung, P.C.: Controlling chaos using differential geometric approach. Phys. Rev. Lett. 75(16), 2952–2955 (1995)

    Article  Google Scholar 

  • Gauthier, J.P., Hammouri, H., Othman, S.: A simple observer for nonlinear systems, applications to bioreactors. IEEE Trans. Autom. Control 37, 875–880 (1992)

    Article  MathSciNet  Google Scholar 

  • Ge, S.S., Wang, J.: Robust adaptive tracking for time-varying uncertain nonlinear systems with unknown control coefficients. IEEE Trans. Autom. Control 48(8), 1463–1469 (2003)

    Article  MathSciNet  Google Scholar 

  • Ge, S.S., Hong, F., Lee, T.H.: Adaptive neural control of nonlinear time-delay system with unknown virtual control coefficients. IEEE Trans. Syst. Man Cybern. Part B Cybern. 34(1), 499–516 (2004)

    Article  Google Scholar 

  • Hull, R.A., Qu, Z.: Design and evaluation of robust nonlinear missile autopilot from a performance perspective. In: Proceedings of the ACC, pp. 189–193 (1995)

  • Jagannathan, S., He, P.: Neural-network-based state-feedback control of a nonlinear discrete-time system in nonstrict feedback form. IEEE Trans. Neural Netw. 19(12), 2073–2087 (2008)

    Article  Google Scholar 

  • Ke, H., Ye, X.: Robust adaptive controller design for a class of nonlinear systems with unknown high frequency gains. Univ. Sci. A 7(3), 315–320 (2006)

    MATH  Google Scholar 

  • Khalil, H.K., Saberi, A.: Adaptive stabilization of a class of nonlinear systems using high-gain feedback. IEEE Trans. Autom. Control 32, 1031–1035 (1987)

    Article  MathSciNet  Google Scholar 

  • Kim, S.-H., Kim, Y.-S., Song, C.: A robust adaptive nonlinear control approach to missile autopilot design. Control Eng. Pract. 12, 149–154 (2004)

    Article  Google Scholar 

  • Krstic, M., Sun, J., Kokotovic, P.V.: Control of feedback linearizable systems with input unmodeled dynamics. In: Proc. of the 33rd Conference on Decision and Control, Lake Buena Vista, pp. 1633–1638 (1994)

  • Lei, H., Lin, W.: Universal adaptive control of nonlinear systems with unknown growth rate by output feedback. Automatica 42, 1783–1789 (2006)

    Article  MathSciNet  Google Scholar 

  • Lei, H., Lin, W.: Adaptive regulation of uncertain nonlinear systems by output feedback: a universal control approach. Syst. Control Lett. 56, 529–537 (2007)

    Article  MathSciNet  Google Scholar 

  • Li, Y., Chen, Y.Q.: When is a Mittag–Leffler function a Nussbaum function? Automatica 45, 1957–1959 (2009)

    Article  MathSciNet  Google Scholar 

  • Nussbaum, R.D.: Some remarks on the conjecture in parameter adaptive control. Syst. Control Lett. 3(3), 243–246 (1983)

    Article  MathSciNet  Google Scholar 

  • Polycarpou, M.M., Ioannou, P.A.: A robust adaptive nonlinear control design. Automatica 32(3), 423–427 (1996)

    Article  MathSciNet  Google Scholar 

  • Qian, C., Lin, W.: Output feedback control of a class of nonlinear systems: a nonseparation principle paradigm. IEEE Trans. Autom. Control 47, 1710–1715 (2002)

    Article  MathSciNet  Google Scholar 

  • Tsinias, J.: A theorem on global stabilization of nonlinear systems by linear feedback. Syst. Control Lett. 17, 357–362 (1991)

    Article  MathSciNet  Google Scholar 

  • Xu, H.J., Mirmirani, M.: Robust adaptive sliding control for a class of MIMO nonlinear systems. In: AIAA Guidance, Navigation, and Control Conference and Exhibit, Montreal, p. 4168 (2001)

  • Yang, C., Ge, S.S., Xiang, C., Chai, T.Y., Lee, T.H.: Output feedback NN control for two classes of discrete-time systems with unknown control directions in a unified approach. IEEE Trans. Neural Netw. 19(11), 1873–1886 (2008)

    Article  Google Scholar 

  • Ye, X.D., Jiang, J.P.: Adaptive nonlinear design without a priori knowledge of control directions. IEEE Trans. Autom. Control 43(11), 1617–1621 (1998)

    Article  MathSciNet  Google Scholar 

  • Ye, X.: Global adaptive control of nonlinear systems with unknown control directions—non-overparameterization design. J. China Jiliang Univ. 14(1), 169–173 (2005)

    Google Scholar 

  • Yunguang, L.: Output-feedback adaptive control for a class of nonlinear systems with unknown control directions. Acta Autom. Sin. 33(12), 1306–1312 (2007)

    MathSciNet  Google Scholar 

  • Zhang, T.P., Ge, S.S.: Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs. Automatica 43, 1021–1033 (2007)

    Article  MathSciNet  Google Scholar 

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Acknowledgements

The authors wish to thank his friend Heidi in Angels (a town of Canada) for her help, and thank his classmate Amado for his many helpful suggestions.

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Correspondence to Junwei Lei.

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Lei, J., Li, H. & Wang, R. Universal output feedback and Nussbaum gain adaptive control of supersonic missiles with unknown control direction. Int J Intell Robot Appl 3, 407–417 (2019). https://doi.org/10.1007/s41315-019-00104-4

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  • DOI: https://doi.org/10.1007/s41315-019-00104-4

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