147
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

Novel hybrid MRAC-LQ control schemes: synthesis, analysis and applications

, &
Pages 940-961 | Received 12 Jan 2007, Accepted 16 Jul 2007, Published online: 10 Feb 2011

References

  • Anderson , BDO and Moore , JB . 1971 . Linear Optimal Control , Englewood Cliff, NJ : Prentice Hall .
  • Beard , GS and Stoten , DP . 1996 . Energy efficient pressure control of a hydraulic actuator circuit using mcs adaptive control . Proceedings of the IEEE UKACC International Conference on Control , 2 : 1474 – 1478 .
  • Bittanti , S . July 2002 . Identificazione dei Modelli e Sistemi Adattativi , 5th , Pitagora .
  • Chen , H and Guo , L . 1986 . Convergence rate of least-square identification and adaptive control . Int. J. Control , 44 : 1459 – 1476 .
  • El-Farra , NH and Christofides , PD . 1999 . Robust optimal control of nonlinear systems . Proceedings of the 1999 American Control Conference , 1 : 124 – 128 .
  • Feldbaum , AA . 1965 . Optimal Control Systems , New York : Accademic Press .
  • Filatov , NM and Unbehauen , H . 2000 . “Survey of adaptive dual control methods . Proc. IEE International Journal of Control Theory Application , 147 : 118 – 128 .
  • Hespanha , JP , Liberzon , D and Morse , AS . 2003 . Hysteresis-based switching algorithms for supervisory control of uncertain systems . Automatica , 39 : 263 – 272 .
  • Hillis , A , Harrison , AJL and Stoten , DP . 2005 . A comparison of two adaptive algorithms for the control of active engine mounts . J. Sound and Vibration , 1286 : 37 – 54 .
  • Hodgson , SP and Stoten , DP . 1996 . Passivity-based analysis of the control synthesis algorithm . Int. J. Contr. , 63 : 67 – 84 .
  • Huang , T . 1990 . A note on adaptive optimal control of ion accelerator facilities . IEEE Trans. Nucle. Sci. , 3 : 1461 – 1466 . Giugno
  • Iftar , A . “Robust optimal control for uncertain systems” . IEEE International Conference on Systems Engineering . pp. 119 – 122 . Fairborn, , USA
  • Ioannou , PA and Sun , J . 2003 . Robust Adaptive Control , Englewood, NY : Prentice Hall .
  • Liberzon , D . 2000 . Switching in Systems and Control , New York : McGraw-Hill .
  • Liberzon , D . 2003 . Switching in Systems and Control , Boston : Birkhäuser .
  • Liung , L . 1999 . Sistem Identification: Theory for the User , Englewood Cliff, , NY : Prentice Hall .
  • Miklovicova , E , Hejda , I , Cervenka , V and Bouslimani , M . 1993 . Optimal adaptive control using the delta operator: a case study . Proceedings of the International Conference on Systems, Man and Cybernetics. Systems Engineering in the Service of Humans , 5 : 223 – 228 .
  • Mori , T , Fukuma , N and Kuwufara , M . 1986 . On the lyapunov matrix differential equation . IEEE Trans. Autom. Contr. , AC-31 : 868 – 869 .
  • Prandini , M . 2002a . “Switching control of stochastic linear systems: Stability and performance results . Proc. VI SIMAI National Congress ,
  • Prandini , M . “Switching control of stochastic linear systems: stability and performance results” . Proc. of VI SIMAI National Congress . May .
  • Prandini , M . “A self-optimizing swithing control scheme for uncertain armax systems” . Proc. IEEE Conference on Decision and Control, and European Control Conference . pp. 2853 – 2858 .
  • Prandini , M and Campi , M . 2001 . Adaptive LQG control of input-output systems – a cost-biased approach . SIAM J. Contr. Optimiz. , 39 : 1499 – 1519 .
  • Rusnak , I . “Optimal state estimation and parameters identification of mimouncertain stochastic linear systems” . IEEE International Conference on Systems, Man and Cybernetics. ‘Intelligent Systems for the 21st Century’ . Vol. 5 , pp. 3966 – 3970 .
  • Rusnak , I and Guez , A . “Optimal adaptive control of uncertain stochastic linear systems” . Proceedings of the American Control Conference . pp. 2520 – 2524 . Seattle, , USA
  • Rusnak , I and Guez , A . 1995b . Optimal adaptive control of uncertain stochastic linear systems . Proc. Am. Contr. Conference , 4 : 2520 – 2524 .
  • Soos , A and Malik , OP . 2002 . An H2 optimal adaptive power system stabilizer . IEEE Trans. Energy Convers. , 17 : 143 – 149 .
  • Soroka , E and Shaked , U . 1984 . On the robustness of LQ regulators . IEEE Trans. Autom. Contr. , 29 : 664 – 665 .
  • Stoten , DP . 1992 . Implementation of minimal control sinthesis on a servo-hydraulic testing machine . Proceedings of the Proc. Inst. Mechanical Engineers , 206 : 189 – 194 .
  • Stoten , DP . 1995 . The adaptive minimal control synthesis algorithm with integral action . Proceedings of the 1995 IEEE IECON 21st International Conference on Industrial Electronics, Control, and Instrumentation , 2 : 1646 – 1651 .
  • Stoten , DP . 2003 . Dynamic substructuring via the adaptive mcs algorithm . Proc. Third World Conference on Structural Control , 2 : 819 – 825 .
  • Stoten , DP and Beenchoubane , H . 1992a . The decentralized minimal control synthesis algorithm . Int. J. Contr. , 56 : 967 – 983 .
  • Stoten , DP and Beenchoubane , H . 1992b . The extended minimal control synthesis algorithm . Int. J. Contr. , 56 : 1139 – 1165 .
  • Stoten , DP and Beenchoubane , H . 1998 . Passivity-based analysis of the decentralized and extended minimal control synthesis algorithms . Int. J. Contr. , 69 : 633 – 646 .
  • Stoten , DP and Benchoubane , H . 1990a . Empirical studies of an mrac algorithm with minimal controller synthesis . Int. J. Contr. , 55 : 823 – 849 .
  • Stoten , DP and Benchoubane , H . 1990b . Robustness of a minimal controller synthesis algorithm . Int. J. Contr. , 55 : 850 – 861 .
  • Stoten , DP and di Bernardo , M . 1996 . Application of the minimal control synthesis algorithm to the control and synchronisation of chaotic systems . Int. J. Contr. , 65 : 925 – 938 .
  • Stoten , DP and di Bernardo , M . 1996 . Application of the minimal control synthesis algorithm to the control and synchronization of chaotic systems . Int. J. Contr. , 65 : 925 – 938 .
  • Stoten , DP and Gmez , EG . 2001 . Adaptive control of shaking tables using the minimal control synthesis algorithm . Philosophical Trans. Royal Society A: Math. Phys. Eng. Sci. , 359 : 1697 – 1723 .
  • Stoten , DP and Hodgson , SP . 1992 . The application of the minimal control synthesis algorithm to hybrid control of a class of 1 manipulator . Int. J. Contr. , 56 : 499 – 523 .
  • Stoten , DP and Neild , SA . 2003 . The error-based minimal control synthesis algorithm with integral action . J. Institut. Mech. Engineers, Part I: J. Syst. Contr. Eng. , 217 : 187 – 201 .
  • Stoten , DP , Dye , MG and Webb , M . 1994 . The implementation of the minimal control synthesis algorithm on a web control problem . Proceedings of the Institution of Mechanical Engineers. Pt.I. Journal of Systems and Contr. Engineering , 208 : 53 – 60 .
  • Svantesson , T and Olsson , G . “Optimal adaptive control of an ash stabilization batch mixing process using change detection . Proceedings of the 2000 IEEE International Conference on Control Applications . Vol. 1 , pp. 109 – 114 . Anchorage, , USA
  • Unbehauen , H . “Adaptive dual control systems: a survey” . Proc. IEE of the IEEE Symposium on Adaptive Systems for Signal Processing, Communications, and Control . pp. 171 – 180 .
  • van Impe , JF and Bastin , G . 1993 . Optimal adaptive control of an ash stabilization batch mixing process using change detection . Proceedings of Second IEEE International Conference on Control Applications , 1 : 469 – 474 .
  • Wong , WSH , Holliday , D and Stoten , DP . 2003 . Robust adaptive control for direct torque controlled induction motor drives . IEMDC’03. IEEE International Conference on Electric Machines and Drives , 2 : 1012 – 1018 .
  • Xue , A , Lu , Y and Sun , Y . 1999 . Robust LQ optimal controller designing for refining process . Proceedings of the 1999 IEEE International Conference on Control Applications , 1 : 403 – 408 .
  • Zang , C and Fu , M . 1996 . A revisit to the gain and phase margins of linear quadratic regulators . IEEE Tran. Autom. Contr. , 41 : 1527 – 1530 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.