Mixed H/sub 2//H/sub /spl infin// control for uncertain systems under pole placement constraints using genetic algorithms and LMIs

This work is concerned with the mixed H/sub 2//H/sub /spl infin// control problem combined with robust pole placement in linear matrix inequality (LMI) regions. Continuous-time linear systems subject to polytopic parametric uncertainties are studied. Based on genetic algorithms (GA) and LMI, a hybrid algorithm is presented for numerical computation of a robust fixed-order, static or dynamic, output feedback controller. This approach does not require that all specifications are enforced by a single closed-loop Lyapunov function. This allows to reduce the conservatism of the usual existing methods. In addition, this approach can be used for synthesis for reduced or full order controllers. Examples borrowed from the literature are discussed to validate this approach.