Sensitivity Methods in Control Theory

Sensitivity Methods in Control Theory

Proceedings of an International Symposium Held at Dubrovnik, August 31–September 5, 1964

1st Edition - January 1, 1966

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  • Editor: L. Radanović
  • eBook ISBN: 9781483223254

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Sensitivity Methods in Control Theory is a collection of manuscripts presented as the Third International Symposium of Sensitivity Analysis, held at Dubrovnik, Yugoslavia on August 31-September 5, 1964, sponsored by The Theory Committee of International Federation of Automatic Control. Sensitivity theory or sensitivity analysis concerns the solution of problems associated with parameter variations within the general scope of control theory. This book is organized into five parts encompassing 30 chapters. Part I presents some basic approaches of sensitivity analysis, such the Lyapunov's theory of stability, invariant imbedding, nonlinear sampled data, and linear time-varying systems. This part also looks into the preliminary steps towards the development of game theory and some general applications of sensitivity analysis. Part II treats the problem of accuracy, reliability, self-adjustment, and optimization of sensitivity of automatic control systems, while Part III deals with the functional derivative technique of sensitivity analysis and its applications for designing self-adjusting control systems. Part IV describes the task of synthesizing control systems for linear plants with variable parameters satisfying specified performance criteria. Part V considers the association between sensitivity and optimality in various control systems. This book will prove useful to design and other specialized fields in engineering.

Table of Contents

  • Foreword


    Part I: Basic Approaches Sensitivity Analysis and Lyapunov Stability

    Sensitivity Analysis and Invariant Imbedding

    Stability and Sensitivity of Nonlinear Sampled Data Systems

    Sensitivity Operators for Linear Time-Varying Systems

    Optimality, Insensitivity, and Game Theory

    The Role of Sensitivity Analysis in Engineering Problems

    Part II: Sensitivity Functions

    Sensitivity and Dynamic Accuracy of Control Systems

    On the Determination of Sensitivity Functions with Respect to the Change of System Order

    Sensitivity Dipole and the Sensitivity Points Method

    Structural Rules for the Determination of Sensitivity Functions of Nonlinear Nonstationary Systems

    Statistical and Experimental Methods in Sensitivity Analysis

    Jump Conditions for Sensitivity Coefficients

    Special Problems in the Synthesis of Sensitivity Network

    Sensitivity Equations for Discontinuous Systems

    Sensitivity Coefficients for the Correction of Quantization Errors in Hybrid Computer Systems

    Sensitivity Analysis of Self-excited Oscillations in Nonlinear Control Systems

    Topological Formula for Sensitivity Coefficients of Network Functions

    Part III: Compensation of Parameter Variations

    Design of Self-adjusting Control Systems by Use of a Functional Derivative Technique

    Minimum Sensitivity Adaptive Systems

    Sensitivity Compensation and Sensitivity Synthesis

    On Necessary and Sufficient Conditions of Parametric. Invariance on a Class of Control Systems Invariant to Parameter Changes

    Sensitivity Considerations for Sampled-Data Feedback Systems with a Minimal Prototype Response

    Part IV: Synthesis of Insensitive Structures

    Sensitivity of Automatic Control Systems with Variable Structure

    Stability, Reproducibility and Sensitivity of Combined Systems of Automatic Control with Variable Structure

    Structural Bases for the Solution of Sensitivity Problems

    Part V: Sensitivity and Optimality

    Sensitivity of the Performance of Optimal Control Systems to Plant Parameter Variations

    Sensitivity of Optimal Control Systems to Measurement Error

    On the Synthesis of the Least Sensitive Control

    Realization of an Optimal Stochastic Control System

    List of Authors

Product details

  • No. of pages: 456
  • Language: English
  • Copyright: © Pergamon 1966
  • Published: January 1, 1966
  • Imprint: Pergamon
  • eBook ISBN: 9781483223254

About the Editor

L. Radanović

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