Singular Perturbations and Time-Scale Methods in Control Theory: Survey 1976-1982

摘要

Recent progress in the use of singular perturbation and two-time-scale methods of modeling and design for control systems is reviewed. Over 400 references are organized into major problem areas. Representative issues and results are discussed with a view to outlining research directions and indicating potential areas of application. The survey is aimed at engineers and applied mathematicians interested in model-order reduction, separation of time scales and allied simplified methods of control system analysis and design. The exposition does not assume prior knowledge of singular perturbation methods. Table of Contents: Two-Time-Scale Systems; System Properties; Linear Composite Control; Nonlinear and Adaptive Control; Stochastic Filtering and Control; High-Gain Feedback Systems; Weak Coupling and Time Scales; and Control of Large Scale Systems.