Some Practical Matching Conditions For Robust Control System Design

The principle of matching is a general concept of control system design that gives due regard for the environment in which the system is to operate. That is, given a set of permis-sible environments and a set of permissible systems, the task of the designer is to choose one environment and one system such that the two are well-matched. For the practical design of most engineering control systems, it is important to explicitly consider uncertainty within the system plant. Therefore, to design the control system within the framework of matching, practical robust matching conditions are required. This report provides su±cient conditions for a robust match for systems with plants modelled as having additive, multiplicative or factored uncertainty. Both upper and lower bounds on the su±cient conditions for a match are presented.