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.
Proceedings of the 37th IEEE Conference on Decision and Control
Chaos, Control systems, Fuzzy systems, Jacobian matrices
Abdallah, Chaouki T.; Ali Jadbabaie; and Peter Dorato. "Guaranteed-cost control of polynomial nonlinear systems." Proceedings of the 37th IEEE Conference on Decision and Control (1998): 4100-4102. doi:10.1109/CDC.1998.761941.