Transactions on Control, Automation and Systems Engineering

Institute of Control, Robotics and Systems (제어로봇시스템학회)
권호 표지

Output Feedback Fuzzy H(sup)$\infty$ Control of Nonlinear Systems with Time-Varying Delayed State

  • Lee, Kap-Rai (Dept. of Computer applied Control, Doowon Technical College)
  • Published : 2000.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper presents and output feedback fuzzy H(sup)$\infty$ control problem for a class of nonlinear systems with time-varying delayed state. The Takagi-Sugeno fuzzy model is employed to represent a nonlinear systems with time-varying delayed state. Using a single quadratic Lyapunov function, the globally exponential stability and disturance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of fuzzy H(sup)$\infty$ controllers are given in terms of matrix inequalities. Constructive algorithm for design of fuzzy H(sup)$\infty$ controller is also developed. A simulation example is given to illustrate the performance of the proposed design method.

Keywords

References

  1. Fuzzy Sets Syst. v.45 Stability analysis and design of fuzzy control systems K. Tanaka;M. Sugeno,
  2. Inform. Sci. v.71 Fuzzy stability criterion of a class of nonlinear systems K. Tanaka;M. Sano
  3. Fuzzy Sets Syst. v.57 Analysis and design of fuzzy control systems C. L. Chen;P. C. Chen;C. K. Chen
  4. IEEE Trans. Fuzzy Syst. v.4 no.1 An approach to fuzzy control of nonlinear systems: Stability and design issues H. O. Wang;K. Tanaka;M. F. Griffin
  5. IEEE Trans. Fuzzy Syst. v.2 no.2 A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer K. Tanaka;M. Sano
  6. IEEE Trans. Fuzzy Syst. v.4 no.1 Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: Quadratic stabilizability, H$^{\infty}$ control theory, and linear matrix inequalities K. Tanaka;T. Ikeda;H. O. Wang
  7. IEEE Trans. Fuzzy Syst. v.4 no.1 H$^{\infty}$ tracking design of uncertain nonlinear SISO systems: Adaptive fuzzy approach B. S. Chen;C. H. Lee;Y. C. Chang
  8. IEEE Trans. Fuzzy Syst. v.6 no.1 Analysis and design of fuzzy controller and fuzzy observer X. J. Ma;Z. Q. Sun;Y. Y. He
  9. IEEE Trans. Fuzzy Syst. v.6 no.2 Fuzzy regulator and fuzzy observers: Relaxed stability conditions and LMI-based designs K. Tanaka;T. Ikeda;H. Wang
  10. Lecture Notes in Control Information Science v.8 A Course in H$^{\infty}$ Control Theory B. A. Francis
  11. Linear Robust Control M. Green;D. J. N. Limebeer
  12. Int. J. Robust and Nonlinear Contr. v.7 Global robust H$^{\infty}$ control of a class of nonlinear systems S. K. Nguang
  13. Proc. FUZZ-IEEE State feedback H$^{\infty}$ controller design of fuzzy dynamic systems using LMI techniques Z. Han;G. Feng
  14. Proc. FUZZ-IEEE Synthesis of an LMI-based fuzzy control system with guaranteed optimal H$^{\infty}$ performance S. K. Hong;R. Langari
  15. IEEE Trans. Fuzzy Systems v.7 no.5 Robustness design of nonlinear dynamic systems via fuzzy linear control B. S. Chen;C. S. Tseng;H. J. Uang
  16. IEEE Trans. Automat. Contr. v.39 no.1 Design of robust controllers for time delay systems M. S. Mahmoud;N. F. AI-Muthairi
  17. Automatica v.32 no.9 Robust control for parameter uncertain delay systems in state and control input J. H. Kim;E. T. Jeung;H. B. Park
  18. IEEE Trans. Automat. Contr. v.43 no.7 H$^{\infty}$ output feedback controller design for linear systems with time-varying delayed state E. T. Jeung;J. H. Kim;H. B. Park
  19. Nonlinear Systems Analysis M. Vidysagar
  20. Linear Matrix Inequalities in System and Control Theory S. Boyd;L. E. Ghaoui;E. Feron;V. Balakrishnan
  21. LMI Control Toolbox P. Gahinet;A. Nemirovski;A. J. Laub;M. Chilali