Simultaneous H2 design of structural and controller parameters with state-feedback

The simultaneous H2 performance state-feedback design of plant structure parameters (passive components) and controller (active components) is considered to achieve the optimal system performance. With LFT (Linear Fractional Transformation) formulation, the simultaneous design problem can be transferred into a design problem of a controller with specific construction. The simultaneous state-feedback design could be transferred into a two-steps convex optimal procedure, first, with variable elimination, a Lyapunov matrix that satisfies the control performance is solved, then substituting the Lyapunov matrix into original matrix inequalities, the simultaneous state-feedback design could be formulated with standard linear matrix inequality (LMI) optimal technique.