Abstract:
Methods for employing a new transform technique for the design of feedback control systems for linear, time-varying, discrete-time systems are presented. Assuming that th...Show MoreMetadata
Abstract:
Methods for employing a new transform technique for the design of feedback control systems for linear, time-varying, discrete-time systems are presented. Assuming that the operation of a plant can be characterized by anN\timesNmatrixP, the transform technique, is based on the decomposition ofPin the formP = (Y \Delta f)\LambdaX^{T}, where XTis anN\timesNmatrix which acts as a direct transform, Λ is anN\timesNdiagonal matrix which acts as a transfer function, and (Y \Delta f) is anN\timesNmatrix which acts as an inverse transform. System matricesGandH, for the cascade and feedback parts of a compensation system, are selected through a consideration of the desired closed loop system response and the desired closed loop system sensitivity to changes in plant parameters. It is shown that the transform technique allows this design to be carried out with relatively straightforward calculations which yield insight into system behavior at each stage. Use of this design procedure is illustrated with a significant example
Published in: IEEE Transactions on Automatic Control ( Volume: 11, Issue: 4, October 1966)