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Volume 1 Issue 4
Oct.  2014

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2014  >  1(4): 423-434
Nhan T. Nguyen and Sivasubramanya N. Balakrishnan, "Bi-Objective Optimal Control Modification Adaptive Control for Systems with Input Uncertainty," IEEE/CAA J. of Autom. Sinica, vol. 1, no. 4, pp. 423-434, 2014.
Citation: Nhan T. Nguyen and Sivasubramanya N. Balakrishnan, "Bi-Objective Optimal Control Modification Adaptive Control for Systems with Input Uncertainty," IEEE/CAA J. of Autom. Sinica, vol. 1, no. 4, pp. 423-434, 2014.
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Bi-Objective Optimal Control Modification Adaptive Control for Systems with Input Uncertainty

  • 1. NASA Ames Research Center, Moffett Field, CA 94035, USA;

  • 2. Missouri University of Science and Technology, Rolla, MO 65409, USA

    Abstract
  • This paper presents a new model-reference adaptive control method based on a bi-objective optimal control formulation for systems with input uncertainty. A parallel predictor model is constructed to relate the predictor error to the estimation error of the control effectiveness matrix. In this work, we develop an optimal control modification adaptive control approach that seeks to minimize a bi-objective linear quadratic cost function of both the tracking error norm and the predictor error norm simultaneously. The resulting adaptive laws for the parametric uncertainty and control effectiveness uncertainty are dependent on both the tracking error and the predictor error, while the adaptive laws for the feedback gain and command feedforward gain are only dependent on the tracking error. The optimal control modification term provides robustness to the adaptive laws naturally from the optimal control framework. Simulations demonstrate the effectiveness of the proposed adaptive control approach.

     

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    • References(27)
  • [1]
    Rohrs C E, Valavani L, Athans M, Stein G. Robustness of continuoustimeadaptive control algorithms in the presence of unmodeled dynamics.IEEE Transactions on Automatic Control, 1985, 30(9): 881-889
    [2]
    Ioannou P A, Kokotovic P V. Instability analysis and improvement ofrobustness of adaptive control. Automatica, 1984, 20(5): 583-594
    [3]
    Narendra K S, Annaswamy A M. A new adaptive law for robustadaptation without persistent excitation. IEEE Transactions on AutomaticControl, 1987, 32(2): 134-145
    [4]
    Hovakimyan N, Cao C Y. L1 Adaptive Control Theory: GuaranteedRobustness with Fast Adaptation. Society for Industrial & AppliedMathematics, 2010.
    [5]
    Cao C Y, Hovakimyan N. Design and analysis of a novel L1 adaptivecontrol architecture with guaranteed transient performance. IEEETransactions on Automatic Control, 2008, 53(2): 586-591
    [6]
    Calise A J, Yucelen T, Muse J A, Yang B J. A loop recovery methodfor adaptive control. In: Proceedings of the 2009 AIAA Guidance,Navigation, and Control Conference. Chicago, Illinois, 2009. AIAA-2009-5967
    [7]
    Yucelen T, Calise A J. A kalman filter optimization approach todirect adaptive control. In: Proceedings of the 2009 AIAA Guidance,Navigation, and Control Conference. Chicago, Illinois, 2009. AIAA-2009-5858
    [8]
    Yucelen T, Calise A J. Derivative-free model reference adaptive control.In: Proceedings of the 2010 AIAA Guidance, Navigation, and ControlConference. Toronto, Ontario, Canada, 2010. AIAA-2010-7769
    [9]
    Schatz S P, Yucelen T, Johnson E N, Holzapfel F. Constraint enforcementmethods for command governor based adaptive control of uncertaindynamical systems. In: Proceedings of the 2013 AIAA Guidance,Navigation, and Control Conference. Boston, MA, 2013. AIAA-2013-4853
    [10]
    Reish B, Chowdhary G, Ure K, How J. Concurrent learning adaptivecontrol in presence of uncertain control allocation matrix. In: Proceedingsof the 2013 AIAA Guidance, Navigation, and Control Conference.Boston, MA, 2013. AIAA-2013-4756
    [11]
    Nguyen N. Least-squares model-reference adaptive control with Chebyshevorthogonal polynomial approximation. Journal of Aerospace InformationSystems, 2013, 10(6): 268-286
    [12]
    Lavretsky E. Combined/composite model reference adaptive control.IEEE Transactions on Automatic Control, 2009, 54(11): 2692-2697
    [13]
    Nguyen N. Optimal control modification for robust adaptive control withlarge adaptive gain. Systems & Control Letters, 2012, 61(4): 485-494
    [14]
    Nguyen N, Krishnakumar K, Boskovic J. An optimal control modificationto model-reference adaptive control for fast adaptation. In:Proceedings of the 2008 AIAA Guidance, Navigation and ControlConference and Exhibit. Honolulu, Hawaii, 2008. AIAA 2008-7283
    [15]
    Jacklin S A. Closing the certification gaps in adaptive flight controlsoftware. In: Proceedings of the 2008 AIAA Guidance, Navigation, andControl Conference and Exhibit. Honolulu, Hawaii, 2008. AIAA-2008-6988
    [16]
    Nguyen N T. Optimal control modification adaptive law for timescaleseparated systems. In: Proceedings of the 2010 American ControlConference. Baltimore, MD: IEEE, 2010. 2470-2475
    [17]
    Yucelen T, Calise A J, Nguyen N T. Evaluation of derivative-freeadaptive controller with optimal control modification. In: Proceedingsof the 2011 AIAA Guidance, Navigation, and Control Conference.Portland, Oregon, 2011. AIAA-2011-6604
    [18]
    Nguyen N, Tuzcu I, Yucelen T, Calise A. Longitudinal dynamics andadaptive control application for an Aeroelastic generic transport model.In: Proceedings of the 2011 AIAA Atmospheric Flight MechanicsConference. Portland, Oregon, 2011. AIAA-2011-6291
    [19]
    Reed S, Steck J, Nguyen N. Demonstration of the optimal controlmodification for general aviation: design and simulation. In: Proceedingsof the 2011 AIAA Guidance, Navigation, and Control Conference.Portland, Oregon, 2011. AIAA-2011-6254
    [20]
    Burken J, Nguyen N T, Griffin B J. Adaptive flight control design withoptimal control modification for f-18 aircraft model. In: Proceedingsof the 2010 AIAA Infotech@Aerospace Conference. Atlanta, Georgia,2010. AIAA-2010-3364
    [21]
    Campbell S F, Kaneshige J T, Nguyen N T, Krishnakumar K S.An adaptive control simulation study using pilot handling qualitiesevaluations. In: Proceedings of the 2010 AIAA Guidance, Navigation,and Control Conference. Toronto, Ontario, Canada, 2010. AIAA-2010-8013
    [22]
    Campbell S F, Kaneshige J T, Nguyen N T, Krishnakumar K S. Implementationand evaluation of multiple adaptive control technologies for ageneric transport aircraft simulation. In: Proceedings of the 2010 AIAAInfotech@Aerospace Conference. AIAA-2010-3322. Atlanta, Georgia,2010.
    [23]
    Nguyen N, Burken J, Hanson C. Optimal control modification adaptivelaw with covariance adaptive gain adjustment and normalization. In:Proceedings of the 2011 AIAA Guidance, Navigation, and ControlConference. Portland, Oregon, 2011. AIAA-2011-6606
    [24]
    Schaefer J, Hanson C, Johnson M A, Nguyen N. Handling qualitiesof model reference adaptive controllers with varying complexity forpitch-roll coupled failures. In: Proceedings of the 2011 AIAA Guidance,Navigation, and Control Conference. Portland, Oregon, 2011. AIAA-2011-6453
    [25]
    Hanson C, Schaefer J, Burken J, Johnson M, Nguyen N. Handling qualitiesevaluations of low complexity model reference adaptive controllersfor reduced pitch and roll damping scenarios. In: Proceedings of the2011 AIAA Guidance, Navigation, and Control Conference. Portland,Oregon, 2011. AIAA-2011-6607
    [26]
    Bryson A E Jr, Ho Y C. Applied Optimal Control: Optimization,Estimation and Control. New York: John Wiley & Sons, Inc., 1975.
    [27]
    Anderson B, Moore J. Linear Optimal Control. Englewood Cliffs, N.J.:Prentice-Hall, Inc., 1971.
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