Model Predictive Control for Linear Parameter Varying Systems Using Parameter Dependent Lyapunov Function

In this brief, we propose a method of synthesizing a model predictive control (MPC) law for linear parameter varying systems. The proposed method is derived by using the parameter dependent Lyapunov function. The proposed MPC algorithm is reduced to the linear matrix inequality problem. It is shown that the proposed control method achieves less conservative results as compared with the several existing methods. A numerical example is provided to illustrate effectiveness of the proposed method