Non-fragile robust design for a control system of air fuel ratio

Non-fragile robust control problem of an air fuel ratio is studied. Under the premise of guarantee certain performances (overshoot and the settling time of the system, etc.), it is proposed that the μ-synthesis non-fragile robust performance design for the control system of the air fuel ratio is essentially to tolerate the greatest uncertainty. It is pointed out that this problem is really a non-fragile robust performance problem, the problem with both non-fragile robust stability and performance requirements (bandwidth and other performances). It is also suggested that the design of the non-fragile robust performance can be formulated as a μ-synthesis problem, if the uncertainty weighting function and the performance weighting function to system bandwidth and disturbance attenuation are revised appropriately. The μ-synthesis non-fragile robust PI controllers are solved. Results of the design look as if they were normal PI controllers, but their control quality, robustness and adaptability are better than the latter, and their structures are simple, definite, useful etc. The results show that the proposed method is efficient and feasible.