Guaranteed-cost control of polynomial nonlinear systems

This paper deals with the control of polynomial nonlinear systems which are affine in the control. We use Bernstein polynomials and polytopic linear differential inclusion (PLDI) to design gain-scheduled controllers using a guaranteed cost framework.

[1]  Chaouki T. Abdallah,et al.  Linear Quadratic Control: An Introduction , 2000 .

[2]  A. Jadbabaie,et al.  Robust, non-fragile and optimal controller design via linear matrix inequalities , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[3]  A. Jadbabaie,et al.  Guaranteed-cost design of continuous-time Takagi-Sugeno fuzzy controllers via linear matrix inequalities , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[4]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[5]  Kazuo Tanaka,et al.  An approach to fuzzy control of nonlinear systems: stability and design issues , 1996, IEEE Trans. Fuzzy Syst..

[6]  Vladimir A. Yakubovich,et al.  Linear Matrix Inequalities in System and Control Theory (S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan) , 1995, SIAM Rev..

[7]  Kazuo Tanaka,et al.  Stability analysis and design of fuzzy control systems , 1992 .