A control system design procedure based on the optimization of multiple objectives is used to realize the control design specifications of the linear gasification plant models. A multiobjective genetic algorithm (MOGA) is used in conjunction with an H 2 loop-shaping design procedure (LSDP) in order to satisfy the requirements of this critical system. The H 2 LSDP is used to guarantee the stability and robustness of the controller while its associated weighting matrix parameters are selected using the multi-objective search method in order to achieve performance requirements. A controller emerges which is stable but unable to completely meet some of the control objectives. Despite this shortcoming, the study is an excellent vehicle for introduction to an effective H 2 loop-shaping procedure. Further work, beyond the scope of this challenge has subsequently produced an improved controller design.