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Robust Control Design For Systems With Probabilistic Uncertainty


Robust Control Design For Systems With Probabilistic Uncertainty
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Probabilistic And Randomized Methods For Design Under Uncertainty


Probabilistic And Randomized Methods For Design Under Uncertainty
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Author : Giuseppe Calafiore
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-13

Probabilistic And Randomized Methods For Design Under Uncertainty written by Giuseppe Calafiore and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-13 with Business & Economics categories.


Probabilistic and Randomized Methods for Design under Uncertainty is a collection of contributions from the world’s leading experts in a fast-emerging branch of control engineering and operations research. The book will be bought by university researchers and lecturers along with graduate students in control engineering and operational research.



Robust Control Design For Systems With Probabilistic Uncertainty


Robust Control Design For Systems With Probabilistic Uncertainty
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Author : National Aeronautics and Space Adm Nasa
language : en
Publisher: Independently Published
Release Date : 2018-09-20

Robust Control Design For Systems With Probabilistic Uncertainty written by National Aeronautics and Space Adm Nasa and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-20 with Science categories.


This paper presents a reliability- and robustness-based formulation for robust control synthesis for systems with probabilistic uncertainty. In a reliability-based formulation, the probability of violating design requirements prescribed by inequality constraints is minimized. In a robustness-based formulation, a metric which measures the tendency of a random variable/process to cluster close to a target scalar/function is minimized. A multi-objective optimization procedure, which combines stability and performance requirements in time and frequency domains, is used to search for robustly optimal compensators. Some of the fundamental differences between the proposed strategy and conventional robust control methods are: (i) unnecessary conservatism is eliminated since there is not need for convex supports, (ii) the most likely plants are favored during synthesis allowing for probabilistic robust optimality, (iii) the tradeoff between robust stability and robust performance can be explored numerically, (iv) the uncertainty set is closely related to parameters with clear physical meaning, and (v) compensators with improved robust characteristics for a given control structure can be synthesized.Crespo, Luis G. and Kenny, Sean P.Langley Research CenterROBUSTNESS (MATHEMATICS); CONTROLLERS; PROBABILITY THEORY; CONTROL SYSTEMS DESIGN; RANDOM VARIABLES; SCALARS; TARGETS; TRADEOFFS; STABILITY; OPTIMIZATION



Robust Control Design For Systems With Probabilistic Uncertainty


Robust Control Design For Systems With Probabilistic Uncertainty
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Author : National Aeronaut Administration (Nasa)
language : en
Publisher:
Release Date : 2020-08-18

Robust Control Design For Systems With Probabilistic Uncertainty written by National Aeronaut Administration (Nasa) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-18 with categories.


This paper presents a reliability- and robustness-based formulation for robust control synthesis for systems with probabilistic uncertainty. In a reliability-based formulation, the probability of violating design requirements prescribed by inequality constraints is minimized. In a robustness-based formulation, a metric which measures the tendency of a random variable/process to cluster close to a target scalar/function is minimized. A multi-objective optimization procedure, which combines stability and performance requirements in time and frequency domains, is used to search for robustly optimal compensators. Some of the fundamental differences between the proposed strategy and conventional robust control methods are: (i) unnecessary conservatism is eliminated since there is not need for convex supports, (ii) the most likely plants are favored during synthesis allowing for probabilistic robust optimality, (iii) the tradeoff between robust stability and robust performance can be explored numerically, (iv) the uncertainty set is closely related to parameters with clear physical meaning, and (v) compensators with improved robust characteristics for a given control structure can be synthesized. Crespo, Luis G. and Kenny, Sean P. Langley Research Center NASA/TP-2005-213531, L-19084 ROBUSTNESS (MATHEMATICS); CONTROLLERS; PROBABILITY THEORY; CONTROL SYSTEMS DESIGN; RANDOM VARIABLES; SCALARS; TARGETS; TRADEOFFS; STABILITY; OPTIMIZATION



Uncertain Models And Robust Control


Uncertain Models And Robust Control
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Author : Alexander Weinmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Uncertain Models And Robust Control written by Alexander Weinmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


This coherent introduction to the theory and methods of robust control system design clarifies and unifies the presentation of significant derivations and proofs. The book contains a thorough treatment of important material of uncertainties and robust control otherwise scattered throughout the literature.



Robust Control Design Using H Methods


Robust Control Design Using H Methods
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Author : Ian R. Petersen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Robust Control Design Using H Methods written by Ian R. Petersen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


This is a unified collection of important recent results for the design of robust controllers for uncertain systems, primarily based on H8 control theory or its stochastic counterpart, risk sensitive control theory. Two practical applications are used to illustrate the methods throughout.



Robust Control Theory


Robust Control Theory
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Author : Bruce A. Francis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Robust Control Theory written by Bruce A. Francis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


Robust control originates with the need to cope with systems with modeling uncertainty. There have been several mathematical techniques developed for robust control system analysis. The articles in this volume cover all of the major research directions in the field.



Robust Control System Design


Robust Control System Design
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Author : Chia-Chi Tsui
language : en
Publisher: CRC Press
Release Date : 2003-12-11

Robust Control System Design written by Chia-Chi Tsui and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-11 with Technology & Engineering categories.


Robust Control System Design: Advanced State Space Techniques, Second Edition expands upon a groundbreaking and combinatorial approach to state space control system design that fully realizes the critical loop transfer function and robustness properties of state/generalized state feedback control. This edition offers many new examples and exercises to illustrate and clarify new design concepts, approaches, and procedures while highlighting the fact that state/generalized state feedback control can improve system performance and robustness more effectively than other forms of control. Revised and expanded throughout, the second edition presents an improved eigenstructure assignment design method that enhances system performance and robustness more directly and effectively and allows for adjustment of design formulations based on design testing and simulation. The author proposes the systematic controller order adjustment for the tradeoff between performance and robustness based on the complete unification of the state feedback control and static output feedback control. The book also utilizes a more accurate robust stability measure to guide control designs.



Randomized Algorithms For Analysis And Control Of Uncertain Systems


Randomized Algorithms For Analysis And Control Of Uncertain Systems
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Author : Roberto Tempo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-21

Randomized Algorithms For Analysis And Control Of Uncertain Systems written by Roberto Tempo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-21 with Technology & Engineering categories.


The presence of uncertainty in a system description has always been a critical issue in control. The main objective of Randomized Algorithms for Analysis and Control of Uncertain Systems, with Applications (Second Edition) is to introduce the reader to the fundamentals of probabilistic methods in the analysis and design of systems subject to deterministic and stochastic uncertainty. The approach propounded by this text guarantees a reduction in the computational complexity of classical control algorithms and in the conservativeness of standard robust control techniques. The second edition has been thoroughly updated to reflect recent research and new applications with chapters on statistical learning theory, sequential methods for control and the scenario approach being completely rewritten. Features: · self-contained treatment explaining Monte Carlo and Las Vegas randomized algorithms from their genesis in the principles of probability theory to their use for system analysis; · development of a novel paradigm for (convex and nonconvex) controller synthesis in the presence of uncertainty and in the context of randomized algorithms; · comprehensive treatment of multivariate sample generation techniques, including consideration of the difficulties involved in obtaining identically and independently distributed samples; · applications of randomized algorithms in various endeavours, such as PageRank computation for the Google Web search engine, unmanned aerial vehicle design (both new in the second edition), congestion control of high-speed communications networks and stability of quantized sampled-data systems. Randomized Algorithms for Analysis and Control of Uncertain Systems (second edition) is certain to interest academic researchers and graduate control students working in probabilistic, robust or optimal control methods and control engineers dealing with system uncertainties. The present book is a very timely contribution to the literature. I have no hesitation in asserting that it will remain a widely cited reference work for many years. M. Vidyasagar



Robust Design Optimization For Control Systems With Uncertainties


Robust Design Optimization For Control Systems With Uncertainties
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Author : Luis Prado
language : en
Publisher:
Release Date : 2006

Robust Design Optimization For Control Systems With Uncertainties written by Luis Prado and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Control theory categories.


"A direct method to improve the reliability of a control system with uncertainties may present tremendous implementation and numerical difficulties. The need for alternative methods to generate reliability and robust design in control systems leads the introduction of probability engineering in this area. Most of the studies in robust design use uniform distributions to characterize uncertainties. The proposed idea is to generate a maximum value of an objective function. Techniques used in this study assume a normal probabilistic distribution. The objective is to increase the quality or to reduce the cost of a linear control system by designing it with different values. To complement this study, a reliability-based design for linear and nonlinear systems that uses probability engineering concepts has been developed"--Abstract, leaf iii.



Robust Control Of Uncertain Dynamic Systems


Robust Control Of Uncertain Dynamic Systems
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Author : Rama K. Yedavalli
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-05

Robust Control Of Uncertain Dynamic Systems written by Rama K. Yedavalli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-05 with Technology & Engineering categories.


This textbook aims to provide a clear understanding of the various tools of analysis and design for robust stability and performance of uncertain dynamic systems. In model-based control design and analysis, mathematical models can never completely represent the “real world” system that is being modeled, and thus it is imperative to incorporate and accommodate a level of uncertainty into the models. This book directly addresses these issues from a deterministic uncertainty viewpoint and focuses on the interval parameter characterization of uncertain systems. Various tools of analysis and design are presented in a consolidated manner. This volume fills a current gap in published works by explicitly addressing the subject of control of dynamic systems from linear state space framework, namely using a time-domain, matrix-theory based approach. This book also: Presents and formulates the robustness problem in a linear state space model framework. Illustrates various systems level methodologies with examples and applications drawn from aerospace, electrical and mechanical engineering. Provides connections between lyapunov-based matrix approach and the transfer function based polynomial approaches. Robust Control of Uncertain Dynamic Systems: A Linear State Space Approach is an ideal book for first year graduate students taking a course in robust control in aerospace, mechanical, or electrical engineering.