Reliable H2 static output feedback control for a class of uncertain continuous-time linear system

The problem of reliable H₂ static output feedback controller design against actuator faults for continuous-time systems with polytopic type uncertainty is addressed based on parameter-dependent Lyapunouv function approach. Sufficient conditions for reliable H₂ static output feedback controller designs are derived via adding auxiliary variables and given in terms of solutions to a set of linear matrix inequalities. An example is given to illustrate the effectiveness of the proposed design methods.