DISCRETE-TIME MIXED-NORM H-2 H-INFINITY CONTROLLER SYNTHESIS/

H-2/H-infinity optimal control synthesis enables the design of control lers for simultaneous rejection of both narrow-band and wide-band dist urbances and also has applications in robust control. Synthesis equati ons in the form of coupled Riccati and Lyapunov equations are availabl e for both full-order and reduced-order, continuous-time H-2/H-infinit y control design and it is possible to base numerical algorithms on th ese synthesis equations. However, currently it has not been found feas ible to develop such synthesis equations for the equivalent discrete-t ime problems. This highlights the necessity of parameter optimization approaches to the design of discrete-time H-2/H-infinity controllers. This paper considers H-2/H-infinity discrete-time controller design an d develops a solution approach that relies on continuation algorithms. The results are illustrated using a benchmark non-collocated flexible structure example.