AUTOMATIC SYNTHESIS OF ADAPTIVE CONTROL SYSTEMS (PARAMETER)
Problem. The problem investigates the design of an optimum control system whose system response is to be guaranteed to remain within specified bounds despite large plant parameter variations. The following is considered (1) there is a single-input single-output plant with parameters which lie (or "slowly" vary) within some given region in parameter space, (2) specific bounds prescribed for the step response, such as acceptable range of rise time, overshoot, and settling time. (3) linear time-invariant compensation is used for which the RMS effect at the plant input of noise is to be minimized. Categorically it can be stated that this fundamental problem in linear adaptive theory is not as yet satisfactorily solved. Design. The research design used is the dominant type system approach in the discrete form with the application of parametric adaptation. The z-transform theory is utilized because it permits a faster design method. The parametric adaptation design considers two factors (1) when only the plant gain factor varies, and (2) when both the plant gain factor and plant poles vary within some specified parameter variation region considered acceptable for flight control systems. Method. (1) Computer graphics plotting methods is used to generate the diagrams of the plant parametric regions and closed-loop system space, this permits a visual design aid and thus, allows rapid optimizing of the design, (2) parametric loci of the closed-loop system transfer function are plotted within the plant poles variation and parametric variation regions, (3) the selection of any two intersecting parametric loci within the plant variation region guarantees that the closed-loop system response remain within the prescribed system response bounds. Result. The system response is determined by a few dominant poles and zeros, which permit the time domain performance bounds to be readily translated into an acceptable region of location of these few dominant poles and zeros, while all other poles are assigned "far-off". The application of the design method showed that the closed-loop system response stayed within the specified bounds, is more readily computer applicable, and permits shorter design times.
MICHAEL ANTHONY CHIN,
"AUTOMATIC SYNTHESIS OF ADAPTIVE CONTROL SYSTEMS (PARAMETER)"
(January 1, 1986).
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