Abstract:

In this paper the non standard robust H ∞ control problem for the systems with parameter uncertainty in all system matrices is investigated. Based on the Linear Matrix Inequality H_∞ controller designing approach, the necessary and sufficient condition that the non standard H_∞ control problem for the systems with parameter uncertainty can be solved is obtained in terms of three linear matrix inequalities. Applying the interior point methods to solve the LMIs, the robust control solutions that stabilize the close loop system quadratically and guarantee the H_∞ norm of transfer function of close loop system bound γ for all possible uncertainties are constructed. This method is applied to design the steady state two variable regulating controller of a non standard system——a certain double spool turbojet aero engine. And through the simulation results on aero thermodynamic model, it shows that a preferable effect is achieved.

Key words: aero-engine;linear matrix inequality;paramet eruncer tainty;robust H_∞, control