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Adaptive Control with Unknown High Frequency Gain and Unmatched Uncertainties

Adaptive Control with Unknown High Frequency Gain and Unmatched Uncertainties PDF Author: Yugian Liu
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Book Description
Adaptive control, which adapts to a system with unknown or slowly time-varying parameters, is one of the primary control methods for systems with uncertainties in modern control. Utilizing fast adaptation, L1 adaptive control can be extended to systems with general time-varying parameters. Control signal is further low-pass filtered to recover robustness of the resulting closed-loop system. However, the type of uncertainties handled by adaptive control, including L1 adaptive control, is still restrictive in many perspectives. One of the highly concerned restrictions is that the controller should know the sign of high frequency gain in advance. The main contribution of this dissertation has three parts. First of all, this study develops a recursive filtered adaptive state feedback control approach to handle systems with unknown high frequency gain and unmatched uncertainties. It merges the least-squares estimator into L1 adaptive control architecture, which allows the signs of the high-frequency gain to be unknown and thus significantly relaxes the assumptions on it. With the least-squares estimator and projection, the unknown systematic parameters are updated iteratively without losing controllability. It demonstrates the feasibility to extend L1 adaptive control to systems with unknown high frequency gain. The second part focuses on the adaptive attitude control of autonomous underwater vehicles in a dynamic environment. The attitude control problem is one of the fundamental problems to facilitate the advancement of autonomous underwater networks. However, the attitude dynamics have highly-coupled nonlinearity with uncertainties, which are from modeling errors and time-varying external disturbances. To handle uncertainties, an advanced attitude controller, which utilizes L1 adaptive control to get fast and robust adaptation for backstepping control approach, is developed. Moreover, a Lyapunov function-based optimum linearization method is presented to analyze the stability of the uncontrollable channel in the operation region. Finally, this dissertation develops a novel distributed ultrasound temperature sensing system with acoustic multiplexing and Gaussian Radial Basis Functions-based temperature field reconstruction algorithm. This sensing system can provide real-time temperature monitoring for any purpose.

Adaptive Control with Unknown High Frequency Gain and Unmatched Uncertainties

Adaptive Control with Unknown High Frequency Gain and Unmatched Uncertainties PDF Author: Yugian Liu
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Book Description
Adaptive control, which adapts to a system with unknown or slowly time-varying parameters, is one of the primary control methods for systems with uncertainties in modern control. Utilizing fast adaptation, L1 adaptive control can be extended to systems with general time-varying parameters. Control signal is further low-pass filtered to recover robustness of the resulting closed-loop system. However, the type of uncertainties handled by adaptive control, including L1 adaptive control, is still restrictive in many perspectives. One of the highly concerned restrictions is that the controller should know the sign of high frequency gain in advance. The main contribution of this dissertation has three parts. First of all, this study develops a recursive filtered adaptive state feedback control approach to handle systems with unknown high frequency gain and unmatched uncertainties. It merges the least-squares estimator into L1 adaptive control architecture, which allows the signs of the high-frequency gain to be unknown and thus significantly relaxes the assumptions on it. With the least-squares estimator and projection, the unknown systematic parameters are updated iteratively without losing controllability. It demonstrates the feasibility to extend L1 adaptive control to systems with unknown high frequency gain. The second part focuses on the adaptive attitude control of autonomous underwater vehicles in a dynamic environment. The attitude control problem is one of the fundamental problems to facilitate the advancement of autonomous underwater networks. However, the attitude dynamics have highly-coupled nonlinearity with uncertainties, which are from modeling errors and time-varying external disturbances. To handle uncertainties, an advanced attitude controller, which utilizes L1 adaptive control to get fast and robust adaptation for backstepping control approach, is developed. Moreover, a Lyapunov function-based optimum linearization method is presented to analyze the stability of the uncontrollable channel in the operation region. Finally, this dissertation develops a novel distributed ultrasound temperature sensing system with acoustic multiplexing and Gaussian Radial Basis Functions-based temperature field reconstruction algorithm. This sensing system can provide real-time temperature monitoring for any purpose.

Adaptive Regulation

Adaptive Regulation PDF Author: Vladimir Nikiforov
Publisher: Springer Nature
ISBN: 3030960919
Category : Technology & Engineering
Languages : en
Pages : 369

Book Description
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 in the Presence of High Frequency Modelling Errors

Adaptive Control in the Presence of High Frequency Modelling Errors PDF Author: James Michael Krause
Publisher:
ISBN:
Category :
Languages : en
Pages : 332

Book Description


Control Systems

Control Systems PDF Author: Jitendra R. Raol
Publisher: CRC Press
ISBN: 1351170783
Category : Technology & Engineering
Languages : en
Pages : 738

Book Description
Control Systems: Classical, Modern, and AI-Based Approaches provides a broad and comprehensive study of the principles, mathematics, and applications for those studying basic control in mechanical, electrical, aerospace, and other engineering disciplines. The text builds a strong mathematical foundation of control theory of linear, nonlinear, optimal, model predictive, robust, digital, and adaptive control systems, and it addresses applications in several emerging areas, such as aircraft, electro-mechanical, and some nonengineering systems: DC motor control, steel beam thickness control, drum boiler, motional control system, chemical reactor, head-disk assembly, pitch control of an aircraft, yaw-damper control, helicopter control, and tidal power control. Decentralized control, game-theoretic control, and control of hybrid systems are discussed. Also, control systems based on artificial neural networks, fuzzy logic, and genetic algorithms, termed as AI-based systems are studied and analyzed with applications such as auto-landing aircraft, industrial process control, active suspension system, fuzzy gain scheduling, PID control, and adaptive neuro control. Numerical coverage with MATLAB® is integrated, and numerous examples and exercises are included for each chapter. Associated MATLAB® code will be made available.

L1 Adaptive Control Theory

L1 Adaptive Control Theory PDF Author: Naira Hovakimyan
Publisher: SIAM
ISBN: 0898717043
Category : Science
Languages : en
Pages : 333

Book Description
Contains results not yet published in technical journals and conference proceedings.

Robust Adaptive Control for a Class of Dynamic Systems with Mismatched Uncertainties

Robust Adaptive Control for a Class of Dynamic Systems with Mismatched Uncertainties PDF Author: 詹美郎
Publisher:
ISBN:
Category :
Languages : en
Pages : 90

Book Description


 PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 460

Book Description


Adaptive Control of Multivariable Systems

Adaptive Control of Multivariable Systems PDF Author: A. S. Morse
Publisher:
ISBN:
Category :
Languages : en
Pages : 5

Book Description
During this period the Principal Investigator wrote six technical papers. Titles are: New directions in parameter adaptive control, Adaptive stabilization of linear systems with unknown high frequency, A smooth algorithm for adaptive stabilization of a discrete linear system with an unknown high frequency gain, A 4(n+1)-dimensional model reference adaptive control for the stabilization of any strictly proper minimum phase linear system with relative degree not exceeding tow and dimension not exceeding phase linear system with relative degree not exceeding two and dimension not exceeding n, Adaptive stabilization of a discrete linear system with an unknown high frequency gain, and A three dimensional universal controller for the adaptive stabilization of any strictly proper minimum-phase system with relative degree not exceeding two. (Author).

Sliding Modes after the first Decade of the 21st Century

Sliding Modes after the first Decade of the 21st Century PDF Author: Leonid Fridman
Publisher: Springer
ISBN: 3642221645
Category : Technology & Engineering
Languages : en
Pages : 604

Book Description
The book presents the newest results of the major world research groups working in the area of Variable Structure Systems and Sliding Mode Control (VSS/SMC). The research activity of these groups is coordinated by the IEEE Technical Committee on Variable Structure Systems (VSS) and Sliding Modes (SM). The presented results include the reports of the research groups collaborating in a framework of the Unión European Union – México project of Fondo de Cooperación Internacional en Ciencia y Tecnología (FONCICyT) 93302 titled "Automatization and Monitoring of Energy Production Processes via Sliding Mode Control". The book starts with the overview of the sliding mode control concepts and algorithms that were developed and discussed in the last two decades The research papers are combined in three sections: Part I: VSS and SM Algorithms and their Analysis Part II: SMC Design Part III: Applications of VSS and SMC The book will be of interests of engineers, researchers and graduate students working in the area of the control systems design. Novel mathematical theories and engineering concepts of control systems are rigorously discussed and supported by numerous applications to practical tasks.

PDE Control of String-Actuated Motion

PDE Control of String-Actuated Motion PDF Author: Ji Wang
Publisher: Princeton University Press
ISBN: 0691233500
Category : Science
Languages : en
Pages : 513

Book Description
New adaptive and event-triggered control designs with concrete applications in undersea construction, offshore drilling, and cable elevators Control applications in undersea construction, cable elevators, and offshore drilling present major methodological challenges because they involve PDE systems (cables and drillstrings) of time-varying length, coupled with ODE systems (the attached loads or tools) that usually have unknown parameters and unmeasured states. In PDE Control of String-Actuated Motion, Ji Wang and Miroslav Krstic develop control algorithms for these complex PDE-ODE systems evolving on time-varying domains. Motivated by physical systems, the book’s algorithms are designed to operate, with rigorous mathematical guarantees, in the presence of real-world challenges, such as unknown parameters, unmeasured distributed states, environmental disturbances, delays, and event-triggered implementations. The book leverages the power of the PDE backstepping approach and expands its scope in many directions. Filled with theoretical innovations and comprehensive in its coverage, PDE Control of String-Actuated Motion provides new design tools and mathematical techniques with far-reaching potential in adaptive control, delay systems, and event-triggered control.