The main objective of matching, a principle of design, is to ensure that the set of possible inputs to a system is a subset of the set of tolerable inputs (those which are judged to produce an acceptable response from the system). This note presents practical conditions (some necessary and sufficient, and others only sufficient) for a matched design, when the set of possible inputs is characterized by restrictions on the magnitude and the rate of change of the input, and the set of tolerable inputs is characterized by magnitude bounds on the response of the system. >

The principle of matching: practical conditions for systems with inputs restricted in magnitude and rate of change

A principle for the design of control systems, called matching, requires primarily that the set of all possible inputs to a system is a subset of the set of all tolerable inputs (those which are judged to produce an acceptable response). In this paper, a readily computable necessary and sufficient condition for matching is provided for the case in which the tolerable set is defined by uniform bounds on the magnitude of outputs, and the possible set is defined by separate restrictions on the integral square of the input and the integral square of the input's rate of change. An example of a matched design obtained using the condition is given.

The principle of matching: a necessary and sufficient condition for inputs restricted in magnitude and rate of change

The principle of matching is a concept of design that requires the objects of the design (the system and its environment) be matched. The main objective of a match is to ensure that the set of possible inputs P, which the environment imposes on the system, is a subset of the set of tolerable inputs T (those which are judged to produce an acceptable response from the system). In a recent paper, practical conditions for a match were presented when the set of possible inputs P is characterized by restrictions both on the input and the rate of change of the input, and the set of tolerable inputs T is characterized by bounds on the absolute supremum of the response of the system. In this paper, the use of one of these practical conditions is illustrated in the design of a vehicle speed control system, which is an improvement on a system designed in an earlier paper. Included here is an explanation as to why the practical conditions used in the earlier design cannot be used in this work, whereas the more recent...

R. Jackson

Papers

The design of control systems with disturbances satisfying certain bounding conditions, with application to simple level control systems