Singular Perturbations and Time Scales in Modeling and Control of Dynamic Systems

摘要

The purpose of this volume is twofold. First, it reports on recent developments of singular perturbation and two-time-scale methods for modeling, analysis and design of control systems. The results obtained in the last five years are summarized in thirty papers which appeared in the period of 1976-1980. Second, it responds to the need for a comprehensive and systematic treatment of this rapidly developing field of research. For this reason, seven earlier papers are included and the whole collection is organized in a logical rather than chronological order. The first three sections deal with modeling and analysis, while the subsequent four sections are devoted to the design and optimization of linear, nonlinear and stochastic control systems. The last two sections treat large scale system problems with multiple controllers and incomplete models. Table of Contents: Section 1: Survey and Introduction; Section 2: Two-Time Scale System properties; Section 3: Two-Time Scale Modeling of Power Systems; Section 4: Design of Linear Regulators; Section 5: Design of Nonlinear Regulators; Section 6: Trajectory Optimization; Section 7: Linear Stochastic Control; Section 8: Multimodeling of Large Scale Systems; and Section 9: Well-Posedness of Differential Games.