A nonlinear control approach for a class of nonlinear systems based on SOS techniques

Based on sum of squares theory, this paper is concerned with the nonlinear control for a special class of nonlinear systems. The nonlinear state feedback controller with a reduced-order observer is designed via the polynomial-type Lyapunov function and sum of squares optimization toolbox, so that the controlled system has good stability and dynamic characteristics, meanwhile it can suppress various types of external disturbances well. The simulation results verify the effectiveness and feasibility of the design method.