Robust Predictive Control of Uncertain Nonlinear System With Constrained Input

  • Son, Won-Kee (School of Electrical Engr., ASRI, Seoul National University) ;
  • Park, Jin-Young (School of Electrical Engr., ASRI, Seoul National University) ;
  • Kwon, Oh-Kyu (School of Electrical and Computer Engineering, Inha University)
  • 발행 : 2002.12.01

초록

In this paper, a linear matrix inequality(LMI)-based robust control method, which combines model predictive control(MPC) with the feedback linearization(FL), is presented for constrained nonlinear systems with parameter uncertainty. The design procedures consist of the following 3 steps: Polytopic description of nonlinear system with a parameter uncertainty via FL, Mapping of actual input constraint by FL into constraint on new input of linearized system, Optimization of the constrained MPC problem based on LMI. To verify the performance and usefulness of the control method proposed in this paper, some simulations with application to a flexible single link manipulator are performed.

키워드

참고문헌

  1. Robot Dynamics and Control M. W. Spong;M. Vidyasagar
  2. Nonlinear Control Systems : An Introduction A. Isidori
  3. Nonlinear Systems H. Khalil
  4. Applied Nonlinear Control J.-J. E. Slotine;W. Li
  5. Nonlinear Systems Analysis M. Vidyasagar
  6. Int. J. Control v.51 Robust output tracking for nonlinear systems S. Behtash https://doi.org/10.1080/00207179008934141
  7. AlChE J. v.34 Robust nonlinear state feed-back under structured uncertainty C. Kravaris;S. Palanki https://doi.org/10.1002/aic.690340708
  8. Proc. of American Control Conference Feasible suboptimal model predictive control for linear plants with state dependent constraints V. Nevistic;L. Del Re
  9. J. Process Control v.7 Input-output linearizing control of constrained nonlinear processes M.J. Kurtz;M.A. Henson https://doi.org/10.1016/S0959-1524(96)00006-6
  10. Linear Matrix Inequalities in System and Control Theory S. Boyd;L. El Ghaoui;E. Feron;V. Balakrishnan
  11. Automatica v.32 no.10 Robust constrained model predictive control using linear matrix inequalities M.V. Kothare;V. Balakrishnan;M. Morari https://doi.org/10.1016/0005-1098(96)00063-5
  12. LMI Control Toolbox P. Gahinet;A. Nemirovski;A. Laub;M. Chilali
  13. LMI Control Toolbox P. Gahinet;A. Nemirovski;A. Laub;M. Chilali