Relay Feedback: Analysis, Identification and Control

ISBN-13: 9781852336509 / Angielski / Twarda / 2002 / 385 str.

Qing-Guo Wang; John Heng Montague; Q. Ing-Guo Wang

Opis

Relay feedback has attracted considerable research attention for more than a century but there has been no recent summary of the many newly-developed tools and results now available for this important area as a whole, those that have been published tending to focus on one process or controller type only. Relay Feedback is divided into three parts, the first of which is devoted to the analysis of relay feedback systems within a general setting with information on: existence of solutions; existence of limit cycles; local and global stability of limit cycles; limit cycles with more than two switchings per period; plants with time delay; relays with asymmetric hysteresis. The second part, on the improvement of process identification shows the reader how to: modify a standard relay to provide better excitation of a process at a number of important frequencies; devise new algorithms designed to make better use of information from relay feedback tests. The book's third part is a presentation of recent developments in control design providing: a unified framework for the design of internal-model, proportional-integral-derivative or general-single-loop controllers for SISO or MIMO systems with or without time delays; characterisation of time delays and non-minimum phase zeros for closed-loop systems. Relay Feedback presents a comprehensive, up-to-date and detailed treatment of relay feedback theory, the use of relay feedback for process identification and the use of identified models for general control design in a single volume. The work assumes only knowledge of linear system theory on the part of the reader and should therefore be of use to graduate students and practising engineers as well as to researchers.

Recenzje

From the reviews:

“Relay Feedback: Analysis, Identification and Control is an extensive text covering the analysis of oscillations in relay feedback systems, system identification based on relay feedback experiments, and controller design based on the identified models. … This book is suitable for both researchers and workers interested in obtaining an in-depth understanding of relay feedback systems and their application to automatic tuning of controllers. … The book appeals to a diverse audience, from researchers in nonlinear control to practicing control engineers.” (Karl H. Johansson, IEEE Control Systems Magazine, Vol. 27, June, 2007)

Spis treści

I. Analysis of Relay Feedback Systems.- 1. Existence of Solutions.- 1.1 Introduction.- 1.2 System Formulation.- 1.3 Existence of Solutions.- 1.4 Delay-free Case.- 2. Existence of Limit Cycles.- 2.1 Introduction.- 2.2 Sufficient Condition.- 2.2.1 Supporting Lemmas.- 2.2.2 Existence of Limit Cycles.- 2.3 A Simple Existence Condition.- 2.4 Limit Cycle Location.- 3. Local Stability of Limit Cycles.- 3.1 Introduction.- 3.2 Problem Formulation and Preliminaries.- 3.3 Local Stability of Limit Cycles.- 3.4 Extension.- 4. Global Stability of Limit Cycles.- 4.1 Introduction.- 4.2 Problem Formulation.- 4.3 Supporting Lemmas.- 4.4 Global Stability of Limit Cycles.- 4.5 Extensions.- 4.6 Existence of Globally Stable Limit Cycles.- 4.6.1 Preliminaries.- 4.6.2 Sufficient Conditions.- II. Process Identification from Relay Feedback Test.- 5. Relay Feedback and its Variations.- 5.1 Fundamentals.- 5.2 First-order Modelling.- 5.3 Robustness Enhancement.- 5.4 Parasitic Relay.- 5.5 Cascade Relay.- 5.6 Extension to MIMO Case.- 6. Use of Relay Transient Responses.- 6.1 Signal Analysis.- 6.2 Decomposition Method.- 6.3 Weighting Method.- 6.4 Testing on Pilot Plants.- 6.5 Extension to the MIMO case.- 7. Transfer Function Modelling.- 7.1 From Frequency Response.- 7.2 From Step Response.- 7.2.1 Second-order Modelling.- 7.2.2 nth-order Modelling.- 7.2.3 Implementation Issues.- 7.2.4 Simulation and Real-time Test.- 7.3 A Hybrid Approach.- 8. A General Identification Approach.- 8.1 SISO Systems.- 8.1.1 The Method.- 8.1.2 Simulation.- 8.2 MIMO Systems.- 8.2.1 The Method.- 8.2.2 Simulation.- 8.3 Unstable Processes.- III. Controller Design.- 9. Single-variable Systems.- 9.1 Design Methodology.- 9.2 PID Controller.- 9.3 High-order Controller.- 9.4 Stability Analysis.- 9.5 Unstable Processes.- 9.5.1 PID Controller.- 9.5.2 High-order Controller.- 10. Multivariable Systems.- 10.1 IMC Scheme.- 10.1.1 Decoupling.- 10.1.2 Analysis.- 10.1.3 Design.- 10.1.4 Simulation.- 10.2 Unity Feedback System.- 10.2.1 Design Methodology.- 10.2.2 PID Controller.- 10.2.3 High-order Controller.- 10.2.4 Stability Analysis.- 11. Partial Internal Model Control.- 11.1 Review of the IMC.- 11.2 The Proposed PIMC Scheme.- 11.3 Internal Stability Analysis.- 11.4 Asymptotic Tracking and Regulation.- 11.5 Primary Control Design.- 11.5.1 PIMC Primary Controller Design.- 11.5.2 MPIMC Primary Controller Design.- 11.6 Robustness Analysis.- 11.6.1 Robust Stability.- 11.6.2 Practical Stability.- 11.7 Practical Aspects.- 11.7.1 Pre-filter Design.- 11.7.2 Determination of G—.- 11.7.3 Dead Time.- 11.8 Simulation Results.- 11.9 Real-time Implementation.- Appendix A: Controller Design for Processes with Two Unstable Poles.- Appendix B: Formulas for Decomposition of some Typical Unstable Processes.- 12. Decentralized Control.- 12.1 The Proposed Independent Design Strategy.- 12.2 Choice of Solutions to Controller Gain Equations.- 12.3 Rational Approximation of the Irrational Solutions.- 12.4 Controller Reduction and Performance Trade-off.- 12.5 Stability Analysis.- 12.6 Extension to the m × m Case.- References.