A structure-specified H∞ optimal control design for practical applications: a genetic approach

In the conventional H1 optimal output feedback control design, the order of the controller is much higher than that of the plant. It is not easy to implement the H1 optimal controller for high-order systems in practical engineering applications. In this work, a robustH1 optimal design problem under a structure-specified controller is investigated for systems with parameter variations and disturbance uncertainties. A simple and facile design algorithm is proposed to solve the structure-specified H 1 optimization problem via genetic searching approach from suboptimal perspective. The proposed design method is very suitable for practical control systems. Therefore, the trench between the theoretical H1 control and practical engineering designs can be filled up. Two examples involving a single input–single output (SISO) phase-locked-loop motor speed system with a lead/lag type controller and an MIMO supermaneuverable F18/HARV fighter aircraft system with a PID-type controller are given to illustrate the design procedure and exhibit the performance of the proposed method.