Identification and command problems in adaptive systems

In order to satisfy stringent performance requirements in a dynamic process, a computer is incorporated as a central element in the feedback loop. The computer performs the dual task of identifying or measuring the process dynamics, and thence generating an appropriate command or actuating signal so as to satisfy the overall specifications. The family of singularity functions (steps, ramps, confluent parabolas) is used as the command signal. The process' dynamics are monitored and identified by the computer without recourse to interrupting test signals such as periodic impulses or white noise. The stored energy term inherent in many measurement problem in continuous processes is accounted for in a novel manner.