Mixed H2/H∞ model predictive control for a class of switched singular systems

The problem of a mixed H
₂
/H
_∞
model predictive control (MPC) for a class of continuous-time switched singular systems with norm bounded disturbance is investigated. By using a switched Lyapunov function, sufficient conditions for the existence of MPC controller and switching strategy are obtained. In terms of linear matrix inequalities, the designed state feedback controller ensures that closed-loop systems satisfy high level of system performance measured by H
₂
norm and a presented H
_∞
disturbance attenuation level λ. Finally, simulation results show the effectiveness of the proposed method.