ABSTRACT
Coefficient sensitivity analysis is used widely to investigate the effects of coefficient change on the solution of mathematical models. Therefore, coefficient sensitivity analysis is a powerful method for evaluating the effect of the controller/filter coefficient variations on the performance of the systems. Generally, sensitivity theory is always used to characterize the phenomenon of the trivial deviations, which motivates to design insensitive controllers in the framework of coefficient sensitivity theory because the controller coefficient variations resulting from the limitation of the available computer memory are of trivial deviations. Two different design methods with different degrees of conservativeness and computational complexity are proposed for this problem. The designed controllers are insensitive to the multiplicative/additive controller coefficient variations. The first method presents a necessary and sufficient condition for the existence of the insensitive controller. In the second method, a sufficient condition is provided for the multiplicative coefficient variation case based on a new type of sensitivity measures.
