This is the second part of a 2 volume report on the specification and data presentation in linear control systems. This volume deals with Sample Data Systems, Linear Time Variable Parameter Systems, and Performance Indices, which are respectively Chapter II, III, and IV of the volume. Since these subjects are somewhat unrelated, a separate abstract is given at the beginning of each chapter, with the exception of the introductory Chapter I. The separate chapter abstracts are repeated here for the convenience of the reader. Abstract - Linear Sampled Data Control Systems The specifications recommended, for use with sampled data control systems are those recommended for linear, continuous systems . These specifications must be supplemented, as is dictated by the requirements of a particular system, by compatibility considerations that are detailed in the following sections. Abstract - The Specification of Linear Time Variable Parameter Systems Linear time variable parameter (LTVP) systems are defined and subdivided into those systems with fast or slow variations and/or large or small variations. The methods of analysis of such systems are reviewed, and the following recommendations are made. Specifications 1) Time Domain Specifications (a) LTVP systems with fast variation of parameters. Simulated unfrozen system step function responses should all lie within a prescribed envelope. Whenever possible, the actual system response should be obtained. (b) LTVP systems with slow variation of parameters. Simulated or actual frozen or unfrozen system step function responses should all lie within a prescribed envelope. 2) Frequency Domain Specifications (a) LTVP system with fast variation of parameters. Frequency domain specifications are not recommended. (b) LTFP system with slow variation of parameters. The family of frequency response curves of the system frozen at different instants should all lie within a predetermined envelope. Data Presentation It is recommended that the region of variation of closed loop poles of the frozen system be exhibited on the complex plane. Thus, for example, if the only varying parameter is an open loop gain, then the region of variation of the closed loop poles will correspond to the root loci over the total range of variation of gain. It is also recommended that a family of Nyquist diagrams corresponding to the system frozen at different instants be displayed in the case of system with slow variations of parameters. Abstract - Performance Index This study was undertaken to determine whether or not Performance Indices should be used to evaluate and specify control systems* It is recommended that they not be used at this time by the Air Force for the stated purpose. A performance index is defined and detailed discussions are presented for the various performance indices. Analytical methods for evaluating performance indices are presented.
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