Abstract
This paper describes a simple, ‘high-level’ controller called a’ supervisor’ which is capable of switching into feedback with a siso process, a sequence of linear positioning or set-point controllers from a family Fc of candidate controllers, so as to cause the output of the process to approach and track a constant reference input. The process is assumed to be modeled by a siso linear system whose transfer function is in the union of a number of subclasses, each subclass being small enough so that one of the controllers in Fc would solve the positioning problem, were the process’s transfer function to be one of the subclass’s members. The supervisor decides which controller to put in feedback with the process, not by an exhaustive search - i.e., by experimentally evaluating each and every candidate controller’s performance by briefly applying it to the process - but rather by continuously comparing in real time suitably defined normed values of ‘output estimation errors’ generated by the candidate controllers, whether or not they are in feedback with the process. It is shown that in the absence of unmodelled process dynamics and disturbances, the proposed supervisor can successfully perform its function provided Fc is finitely large. A sequel to the full length version of this paper will analyze the performance of the same supervisor when unmodelled dynamics and disturbances are present.
This paper is a condensed version of [l]. The research was supported by the Institute for Mathematics and its Applications with funds provided by the National Science foundation, by the National Science Foundation under Grant No. ECS-9012551, by the U. S. Air Force Office of Scientific Research under Grant No. F49620-92-J-0077, and by the Dutch Systems and Control Theory Network.
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Morse, A.S. (1995). Supervisory Control. In: Åström, K.J., Goodwin, G.C., Kumar, P.R. (eds) Adaptive Control, Filtering, and Signal Processing. The IMA Volumes in Mathematics and its Applications, vol 74. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8568-2_11
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