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Original Articles

Linear adaptive control of a class of SISO nonaffine nonlinear systems

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Pages 2490-2498 | Received 05 Jul 2012, Accepted 08 Jan 2013, Published online: 25 Feb 2013

References

  • Boubakir, A., Labiod, S., and Boudjema, F. (2012), ‘A Stable Self-tuning Proportional-integral-derivative Controller for a Class of Multi-input Multi-output Nonlinear Systems’, Journal of Vibration and Control, 18(2), 228–239.
  • Boulkroune, A., Tadjine, M., Msaad, M., and Farza, M. (2010), ‘Fuzzy Adaptive Controller for MIMO Nonlinear Systems with Known and Unknown Control Direction’, Fuzzy Sets and Systems, 161(6), 797–820.
  • Chang, Y.C. (2000), ‘Robust Tracking Control for Nonlinear MIMO Systems via Fuzzy Approaches’, Automatica, 36(10), 1535–1545.
  • Chen, C.S. (2009), ‘Dynamic Structure Adaptive Neural Fuzzy Control for MIMO Uncertain Nonlinear Systems’, Information Sciences, 179(15), 2676–2688.
  • Dong, W., Zhao, Y., Chen, Y., and Farrell, J.A. (2012), ‘Tracking Control for Nonaffine Systems: A Self-Organizing Approximation Approach’, IEEE Transactions on Neural Networks and Learning Systems, 23(2), 223–235.
  • Fliess, M., and Join, C. (2009), ‘Model-free Control and Intelligent PID Controllers: Towards a Possible Trivialization of Nonlinear Control?’, in 15th IFAC Symposium on System Identification (SYSYID 2009), Saint-Malo, France, 6–8 July, Saint-Malo, France.
  • Ge, S.S., and Zhang, J. (2003), ‘Neural-network Control of Nonaffine Nonlinear System With Zero Dynamics by State and Output Feedback’, IEEE Transactions on Neural Networks, 14(4), 900–918.
  • Huang, Y.S., Chen, X., Zhou, S.W., Yu, L.L., and Wang, Z.W. (2012), ‘HGO-based Decentralised Indirect Adaptive Fuzzy Control for a Class of Large-scale Nonlinear Systems’, International Journal of Systems Science, 43(6), 1133–1145.
  • Ioannou, P.A., and Sun, J. (1996), Robust Adaptive Control, Englewood Cliffs, NJ: Prentice Hall.
  • Labiod, S., and Guerra, T.M. (2007a), ‘Adaptive Fuzzy Control of a Class of SISO Nonaffine Nonlinear Systems’, Fuzzy Sets and Systems, 158(10), 1098–1126.
  • Labiod, S., and Guerra, T.M. (2007b), ‘Direct Adaptive Fuzzy Control for a Class of MIMO Nonlinear Systems’, International Journal of Systems Science, 38(8), 665–675.
  • Li, X.D., Chow, T.W., and Cheng, L. (2013), ‘Adaptive Iterative Learning Control of Non-linear MIMO Continuous Systems With Iteration-varying Initial Error and Reference Trajectory’, International Journal of Systems Science, 44(4), 786–794.
  • Liu, Y.J., and Wang, W. (2007), ‘Adaptive Fuzzy Control for a Class of Uncertain Nonaffine Nonlinear Systems’, Information Sciences, 177(18), 3901–3917.
  • Liu, Y.J., Wang, W., Tong, S.C., and Liu, Y.S. (2010), ‘Robust Adaptive Tracking Control for Nonlinear Systems Based on Bounds of Fuzzy Approximation Parameters’, IEEE Transactions on Systems, Man and Cybernetics, Part A: Systems and Humans, 40(1), 170–184.
  • Mao, Z.Z., and Xiao, X.S. (2011), ‘Decentralized Adaptive Tracking Control of Nonaffine Nonlinear Large-scale Systems With Time Delays’, Information Sciences, 181(23), 5291–5303.
  • Mutha, R.K., Cluett, W.R., and Penlidis, A. (1997), ‘Nonlinear Model-based Predictive Control of Nonaffine Systems’, Automatica, 33(5), 907–913.
  • Nejati, A., Shahrokhi, M., and Mehrabani, A. (2012), ‘Comparison Between Backstepping and Input–output Linearization Techniques for pH Process Control’, Journal of Process Control, 22(1), 263–271.
  • Park, J.H., Park, G.T., Kim, S.H., and Moon, C.J. (2005), ‘Direct Adaptive Self Structuring Fuzzy Controller for Nonaffine Nonlinear System’, Fuzzy Sets and Systems, 153(3), 429–445.
  • Qikun, S., and Tianping, Z. (2012), ‘Novel Design of Adaptive Neural Network Controller for a Class of Non-affine Nonlinear Systems’, Communications Nonlinear Science and Numerical Simulation, 17(3), 1107–1116.
  • Seo, J., Venugopal, R., and Kenné, J.P. (2007), ‘Feedback Linearization Based Control of a Rotational Hydraulic Drive’, Control Engineering Practice, 15(12), 1495–1507.
  • Slotine, J.J., and Li, W. (1991), Applied Nonlinear Control, Englewood Cliffs, NJ: Prentice Hall.
  • Teo, J., How, J.P., and Lavretsky, E. (2010), ‘Proportional-Integral Controllers for Minimum Phase Nonaffine-in-Control Systems’, IEEE Transactions On Automatic Control, 55(6), 1477–1483.
  • Tong, S. (2010), ‘Fuzzy-Adaptive Decentralized Output-Feedback Control for Large-Scale Nonlinear Systems With Dynamical Uncertainties’, IEEE Transactions on Fuzzy Systems, 18(5), 845–861.
  • Tong, S., and Li, H.X. (2003), ‘Fuzzy Adaptive Sliding-mode Control for MIMO Nonlinear Systems’, IEEE Transactions on Fuzzy Systems, 11(3), 354–360.
  • Tong, S., Li, Y., Li, Y., and Liu, Y. (2011), ‘Observer-Based Adaptive Fuzzy Backstepping Control for a Class of Stochastic Nonlinear Strict-Feedback Systems’, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 41(6), 1693–1704.
  • Wang, L.X. (1994), Adaptive Fuzzy Systems and Control : Design and Stability Analysis, Englewood Cliffs, NJ: Prentice Hall.
  • Wang, W.Y., Chien, Y.H., and Lee, T.T. (2011), ‘Observer-Based T-S Fuzzy Control for a Class of General Nonaffine Nonlinear Systems Using Generalized Projection-Update Laws’, IEEE Transactions on Fuzzy Systems, 19(3), 493–504.
  • Wang, W.Y., Chien, Y.H., Leu, Y.G., and Lee, T.T. (2010), ‘Adaptive T-S Fuzzy-neural Modeling and Control for General MIMO Unknown Nonaffine Nonlinear Systems Using Projection Update Laws’, Automatica, 46(5), 852–863.
  • Wen, J., and Jiang, C.S. (2011), ‘Adaptive Fuzzy Control for a Class of Chaotic Systems With Nonaffine Inputs’, Communications Nonlinear Science and Numerical Simulation, 16(1), 475–492.
  • Zhang, W., and Ge, S.S. (2006), ‘A Global Implicit Function Theorem Without Initial Point and its Applications to Control of Nonaffine Systems of High Dimensions’, Journal of Mathematical Analysis and Applications, 313(1), 251–261.
  • Zhang, X., Zhang, H., Sun, Q., and Luo, Y. (2012), ‘Adaptive Dynamic Programming-based Optimal Control of Unknown Nonaffine Nonlinear Discrete-time Systems With Proof of Convergence’, Neurocomputing, 91(15), 48–55.

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