State feedback H ∞ control for a class of nonlinear systems using partition of unity method

摘要

The system model is nonlinear with respect to all its variables while the output model is linear. The nonlinear system model is firstly converted into an equivalent linear model with error by using partition of unity method. The stability with decay rate and the disturbance attenuation for the nonlinear system are discussed based on the equivalent model. A state feedback H ∞ controller is then proposed in terms of linear matrix inequalities (LMIs).