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Multiple Model Adaptive Regulation

Multiple Model Adaptive Regulation
Author: Eric Dean Peterson
Publisher:
Total Pages: 222
Release: 2014
Genre: Adaptive control systems
ISBN:

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A single controller may be inadequate for systems that experience structural changes that arise, for example, from component failures. Such systems are often modeled by a family of plants with structural diversity. At any given time the appropriate plant model is uncertain. Adaptation is required for the parameter dependent family of plants but continuous adaptive regulation is limited by relative degree and right half plane zeros. A form of adaptive regulation is presented that accommodates these changes. The Multiple Model Adaptive Regulator selects a controller from a predefined set to achieve performance goals. In general, the set of controllers is finite although the family of plants may be continuous. The set of controllers accommodates a structurally diverse family of plants. A multiple model controller design has two subproblems, covering and switching. The covering subproblem is to design a small set of controllers such that each possible plant is stabilized by at least one controller. The switching subproblem is to select a stabilizing controller from the set of controllers. In this research, the covering and switching subproblems are solved with LQR state feedback and Lyapunov function switch logic respectively. The LQR and Common Quadratic Lyapunov Function design problems are combined into a set of Linear Matrix Inequalities (LMI) and concurrently solved. Design constraints on the open loop plant and the regulator are presented. The multiple model adaptive regulator is applied to systems with diverse zero structure.


Adaptive Regulation

Adaptive Regulation
Author: Vladimir Nikiforov
Publisher: Springer Nature
Total Pages: 369
Release: 2022-08-18
Genre: Technology & Engineering
ISBN: 3030960919

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This monograph is focused on control law design methods for asymptotic tracking and disturbance rejection in the presence of uncertainties. The methods are based on adaptive implementation of the Internal Model Principle (IMP). The monograph shows how this principle can be applied to the problems of asymptotic rejection/tracking of a priori uncertain exogenous signals for linear and nonlinear plants with known and unknown parameters. The book begins by introducing the problems of adaptive control, the challenges that are faced, modern methods and an overview of the IMP. It then introduces special observers for uncertain exogeneous signals affecting linear and nonlinear systems with known and unknown parameters. The basic algorithms of adaptation applied to the canonical closed-loop error models are presented. The authors then address the systematic design of adaptive systems for asymptotic rejection/tracking of a priori uncertain exosignals. The monograph also discusses the adaptive rejection/tracking of a priori uncertain exogenous signals in systems with input delay, the problems of performance improvement in disturbance rejection and reference tracking and the issue of robustness of closed-loop systems. Adaptive Regulation provides a systematic discussion of the IMP applied to a variety of control problems, making it of interest to researchers and industrial practitioners.


Adaptive Control

Adaptive Control
Author: Ioan Doré Landau
Publisher: Springer Science & Business Media
Total Pages: 595
Release: 2011-06-06
Genre: Technology & Engineering
ISBN: 0857296647

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Adaptive Control (second edition) shows how a desired level of system performance can be maintained automatically and in real time, even when process or disturbance parameters are unknown and variable. It is a coherent exposition of the many aspects of this field, setting out the problems to be addressed and moving on to solutions, their practical significance and their application. Discrete-time aspects of adaptive control are emphasized to reflect the importance of digital computers in the application of the ideas presented. The second edition is thoroughly revised to throw light on recent developments in theory and applications with new chapters on: multimodel adaptive control with switching, direct and indirect adaptive regulation and adaptive feedforward disturbance compensation. Many algorithms are newly presented in MATLAB® m-file format to facilitate their employment in real systems. Classroom-tested slides for instructors to use in teaching this material are also now provided. All of this supplementary electronic material can be downloaded from fill in URL. The core material is also up-dated and re-edited to keep its perspective in line with modern ideas and more closely to associate algorithms with their applications giving the reader a solid grounding in: synthesis and analysis of parameter adaptation algorithms, recursive plant model identification in open and closed loop, robust digital control for adaptive control; • robust parameter adaptation algorithms, practical considerations and applications, including flexible transmission systems, active vibration control and broadband disturbance rejection and a supplementary introduction on hot dip galvanizing and a phosphate drying furnace. Control researchers and applied mathematicians will find Adaptive Control of significant and enduring interest and its use of example and application will appeal to practitioners working with unknown- and variable-parameter plant. Praise for the first edition: ...well written, interesting and easy to follow, so that it constitutes a valuable addition to the monographies in adaptive control for discrete-time linear systems... suitable (at least in part) for use in graduate courses in adaptive control.


Adaptive Control with Recurrent High-order Neural Networks

Adaptive Control with Recurrent High-order Neural Networks
Author: George A. Rovithakis
Publisher: Springer Science & Business Media
Total Pages: 203
Release: 2012-12-06
Genre: Computers
ISBN: 1447107853

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The series Advances in Industrial Control aims to report and encourage technology transfer in control engineering. The rapid development of control technology has an impact on all areas of the control discipline. New theory, new controllers, actuators, sensors, new industrial processes, computer methods, new applications, new philosophies ... , new challenges. Much of this development work resides in industrial reports, feasibility study papers and the reports of advanced collaborative projects. The series offers an opportunity for researchers to present an extended exposition of such new work in all aspects of industrial control for wider and rapid dissemination. Neural networks is one of those areas where an initial burst of enthusiasm and optimism leads to an explosion of papers in the journals and many presentations at conferences but it is only in the last decade that significant theoretical work on stability, convergence and robustness for the use of neural networks in control systems has been tackled. George Rovithakis and Manolis Christodoulou have been interested in these theoretical problems and in the practical aspects of neural network applications to industrial problems. This very welcome addition to the Advances in Industrial Control series provides a succinct report of their research. The neural network model at the core of their work is the Recurrent High Order Neural Network (RHONN) and a complete theoretical and simulation development is presented. Different readers will find different aspects of the development of interest. The last chapter of the monograph discusses the problem of manufacturing or production process scheduling.


Adaptive Control Tutorial

Adaptive Control Tutorial
Author: Petros Ioannou
Publisher: SIAM
Total Pages: 401
Release: 2006-01-01
Genre: Mathematics
ISBN: 0898716152

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Designed to meet the needs of a wide audience without sacrificing mathematical depth and rigor, Adaptive Control Tutorial presents the design, analysis, and application of a wide variety of algorithms that can be used to manage dynamical systems with unknown parameters. Its tutorial-style presentation of the fundamental techniques and algorithms in adaptive control make it suitable as a textbook. Adaptive Control Tutorial is designed to serve the needs of three distinct groups of readers: engineers and students interested in learning how to design, simulate, and implement parameter estimators and adaptive control schemes without having to fully understand the analytical and technical proofs; graduate students who, in addition to attaining the aforementioned objectives, also want to understand the analysis of simple schemes and get an idea of the steps involved in more complex proofs; and advanced students and researchers who want to study and understand the details of long and technical proofs with an eye toward pursuing research in adaptive control or related topics. The authors achieve these multiple objectives by enriching the book with examples demonstrating the design procedures and basic analysis steps and by detailing their proofs in both an appendix and electronically available supplementary material; online examples are also available. A solution manual for instructors can be obtained by contacting SIAM or the authors. Preface; Acknowledgements; List of Acronyms; Chapter 1: Introduction; Chapter 2: Parametric Models; Chapter 3: Parameter Identification: Continuous Time; Chapter 4: Parameter Identification: Discrete Time; Chapter 5: Continuous-Time Model Reference Adaptive Control; Chapter 6: Continuous-Time Adaptive Pole Placement Control; Chapter 7: Adaptive Control for Discrete-Time Systems; Chapter 8: Adaptive Control of Nonlinear Systems; Appendix; Bibliography; Index


Multiple Model Approaches To Nonlinear Modelling And Control

Multiple Model Approaches To Nonlinear Modelling And Control
Author: R Murray-Smith
Publisher: CRC Press
Total Pages: 361
Release: 2020-11-25
Genre: Technology & Engineering
ISBN: 100012407X

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This work presents approaches to modelling and control problems arising from conditions of ever increasing nonlinearity and complexity. It prescribes an approach that covers a wide range of methods being combined to provide multiple model solutions. Many component methods are described, as well as discussion of the strategies available for building a successful multiple model approach.


Feasibility Analysis of Moving Bank Multiple Model Adaptive Estimation and Control Algorithms

Feasibility Analysis of Moving Bank Multiple Model Adaptive Estimation and Control Algorithms
Author:
Publisher:
Total Pages: 360
Release: 1984
Genre:
ISBN:

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This investigation examines the feasibility of a moving bank multiple model adaptive estimation/control algorithm. Sliding bank multiple model adaptive estimation differs from conventional multiple adaptive estimation in that a substantially reduced number of elemental filters is required for the sliding bank estimator (9 elemental filters vs. 100 for the system modeled in this thesis). The positions in parameter space that the reduced number of elemental filters occupy are dynamically re-declared: i.e., the sliding bank of filters is moved about the parameter space in search of the true parameter point. Critical to the performance of the sliding bank estimator is the decision method that governs movement of the bank of elemental filters. Because of this, a number of different decision algorithms are discussed and their respective performance compared. Three controller designs are also examined: a single changeable-gain, a single fixed-gain, and a sliding bank multiple model adaptive controller. States of a damped second order system, with uncertain parameters (damping ratio and undamped natural frequency) are estimated by the sliding bank estimator and then regulated to the quiescent state by the controller. Performance of the sliding bank estimator/controller is compared to a benchmark of a single Kalman filter/LQ controller that has (artificial) knowledge of the true parameter values. Comparisons are based upon Monte Carlo analysis results. Originator-supplied keywords include: Adaptive control systems, Adaptive filters, Multiple model adaptive estimation, and Multiple model adaptive control.