Chen, C. F.2022-07-012022-07-011968196813868935https://hdl.handle.net/10657/10330Although optimization procedures are attractive from the theoretical viewpoint, sometimes the resulting design has unsatisfactory performance characteristics. The use of weighting factors in the generalized quadratic performance index gives the designer the possibility of guiding the result. Yet, there has been published very little, if any, guidance in the selection of weighting factors. As a result of empirical research, it is shown that weighting factors are directly related to the slopes of the elements of the cost functional. They are defined in terms of these slopes. Uniqueness and non-uniqueness are discussed and related to the number of weighting factors and the order of optimization. The general conditions for the extremal which is determined by chosen weighting factors to be minimal are presented. In some cases, these conditions are expressed as a function of the system parameters and weighting factors. The concept of negative weighting factors is presented. In some examples, the usefulness of negative weighting factors is illustrated. General relationships between weighting factors and system parameters are developed analytically. These relationships are applied to second, third and fourth order systems. The application of these general relationships results in specific graphs and tables as presentations of the relationships between weighting factors and system parameters and weighting factors and time response performance measures. Convenient formulations for the generalized indices ISE and ITSE are derived and utilized in an empirical analysis of a broad class of systems. Several successful rules for weighting factors are developed with the objective of minimizing the maximum overshoot resulting from cascade lead network compensation.application/pdfenThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.Thesisreformatted digital