Compensator improvement for multivariable control systems

A theory and the associated numerical technique are developed for an iterative design improvement of the compensation for linear, time-invariant control systems with multiple inputs and multiple outputs. A strict constraint algorithm is used in obtaining a solution of the specified constraints of the control design. The result of the research effort is the multiple input, multiple output Compensator Improvement Program (CIP). The objective of the Compensator Improvement Program is to modify in an iterative manner the free parameters of the dynamic compensation matrix so that the system satisfies frequency domain specifications. In this exposition, the underlying principles of the multivariable CIP algorithm are presented and the practical utility of the program is illustrated with space vehicle related examples

An innovative approach to compensator design

The design is considered of a computer-aided-compensator for a control system from a frequency domain point of view. The design technique developed is based on describing the open loop frequency response by n discrete frequency points which result in n functions of the compensator coefficients. Several of these functions are chosen so that the system specifications are properly portrayed; then mathematical programming is used to improve all of these functions which have values below minimum standards. To do this, several definitions in regard to measuring the performance of a system in the frequency domain are given, e.g., relative stability, relative attenuation, proper phasing, etc. Next, theorems which govern the number of compensator coefficients necessary to make improvements in a certain number of functions are proved. After this a mathematical programming tool for aiding in the solution of the problem is developed. This tool is called the constraint improvement algorithm. Then for applying the constraint improvement algorithm generalized, gradients for the constraints are derived. Finally, the necessary theory is incorporated in a Computer program called CIP (compensator Improvement Program). The practical usefulness of CIP is demonstrated by two large system examples

The Third Gender and Ælfric\u27s Lives of Saints

In The Third Gender, McDaniel addresses the idea of the third gender in early hagiography and Latin treatises on virginity and then examines Ælfric\u27s treatment of gender in his translations of Latin monastic Lives for his non-monastic audiences. She first investigates patristic ideas about a third gender by describing this concept within the theoretical frameworks of monasticism provided by the four Latin Doctors and illustrated in the early Latin Lives of Roman martyrs, revealing the importance of memory in the construction of the monastic third gender. In the second section McDaniel turns to creating a historical and theological cultural context within which to locate an interpretation of Ælfric\u27s portrayals of male and female saints in his Old English translations of Lives of Saints, applying this context to Ælfric\u27s Lives and providing insights into the ideas about monastic gender that Ælfric translated (or declined to translate) for his non-monastic audience.https://scholarworks.wmich.edu/mip_rrc/1000/thumbnail.jp