On the structure and control of piecewise-linear systems by Banks, Stephen P.

Cover of: On the structure and control of piecewise-linear systems | Banks, Stephen P.

Published by University of Sheffield, Dept. of Control Engineering in Sheffield .

Written in English

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Edition Notes

Book details

StatementS.P. Banks and Saadi A. Khathur.
SeriesResearch report / University of Sheffield. Department of Control Engineering -- no.334, Research report (University of Sheffield. Department of Control Engineering) -- no.334.
ContributionsKhathur, Saadi A.
ID Numbers
Open LibraryOL13961679M

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Piecewise Linear Control Systems: A Computational Approach (Lecture Notes in Control and Information Sciences) Paperback – December 5, by Mikael K.-J. Johansson (Author) See all formats and editions Hide other formats and editionsCited by: Books, Toys, Games and much more. Piecewise Linear Control Systems: A Computational Approach / Edition 1.

by Mikael K.-J. Johansson | Read Reviews. Paperback. Current price is, Original price is $ You. Buy New $ $ Price: $ Piecewise Linear Control Systems A Computational Approach. Authors: Johansson, Mikael K.-J.

Free Preview. Buy this book eBook ,69 Piecewise Linear Control Systems Book Subtitle A Computational Approach Authors. Mikael K.-J. Johansson; Series Title Lecture Notes in Control and Information Sciences.

piecewise linear we refer to a dynamic system that has different linear dy-namics in different regions of the continuous state space. Piecewise linear systems capture many of the most common nonlinearities in engineering systems, and are powerful also for approximation of more general nonlin-ear systems.

Piecewise Linear Control Systems A Computational Approach. Authors (view affiliations) Mikael Johansson; Book. Citations; Search within book. Front Matter. Pages i-ix. PDF. Introduction. Mikael Johansson. Pages Piecewise Linear Modeling.

Mikael Johansson. Pages 9. Get this from a library. Piecewise linear control systems: a computational approach. [Mikael Johansson] -- This book presents a computational approach to the analysis of nonlinear and uncertain systems. The main focus is systems with piecewise linear dynamics.

The class of piecewise linear systems. Piecewise linear control systems: a computational approach. [Mikael Johansson, (Professor)] Book, Internet Resource: All Authors / Contributors: Mikael Johansson, (Professor) Find more information about: ISBN: OCLC Number: Control Theory for Linear Systems deals with the mathematical theory of feedback control of linear systems.

It treats a wide range of control synthesis problems for linear state space systems with inputs and outputs. The book provides a treatment of these problems using state space methods, often with a geometric flavour. Its subject matter ranges from controllability and observability. Piecewise affine/linear (PWA or PWL) systems have been studied for a long time.

[37,46,55,68] The first study of PWA systems in the control literature may date back to Andronov’s investigation on oscillations in nonlinear systems in the ’s. [3] An early practical example of PWA systems can be found in piecewise linear servomechanisms. [62].

By splitting up the control problem into low level motor control loops and a high level sheet control loop, a hierarchical control structure is obtained. Based on the piecewise linear model of the high level sheet dynamics, the control design is formulated in the H ∞ framework.

The resulting dynamic output feedback controllers guarantee. The book concludes with a discussion on how to find multiple solutions for PL functions or networks.

Again, the most common techniques are outlined using clear examples. Piecewise Linear Modeling and Analysis is an indispensable guide for researchers and designers interested in network theory, network synthesis and network analysis. Control and Estimation of Piecewise Affine Systems presents several research findings relating to the control and estimation of PWA systems in one unified view.

Chapters in this title discuss stability results of PWA systems, using piecewise quadratic Lyapunov functions and piecewise homogeneous polynomial Lyapunov functions. Piecewise-Linear Homotopy Algorithms for Sparse Systems of Nonlinear Equations SIAM Journal on Control and Optimization, Vol.

21, No. 2 Piecewise nonlinear homotopies. This paper approaches nonlinear control problems through the use of (discrete-time) piecewise linear systems. These are systems whose next-state and output maps are both described by PL maps, i.e.

Piecewise-linear function f:Rn → R is (convex) piecewise-linear if it can be expressed as f(x)= max i=1,m (aT i x+bi) f is parameterized by m n-vectors ai and m scalars bi x aT i x+bi f(x) (the term piecewise-affine is more accurate but less common) Piecewise-linear optimization 2–3.

The function defined by = {− − ≤ − + − piecewise linear with four pieces. The graph of this function is shown to the right.

Since the graph of a linear function is a line, the graph of a piecewise linear function consists of line segments and x values (in the above example −3, 0, and 3) where the slope changes are typically called breakpoints.

COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

Abstract. This book treats analysis and design of piecewise linear control systems. In this chapter, we lay the foundation for the analysis by presenting the mathematical model on which the subsequent developments will be based.

Piecewise Linear Control Systems: A Computational Approach Author: Dr. Mikael Johansson Published by Springer Berlin Heidelberg ISBN: DOI: / Table of Contents: Introduction Piecewise Linear Modeling Structural Analysis Lyapunov Stability Dissipativity Analysis Controller Design Selected Topics.

Piecewise Linear Regression. System of 3 Equations. Yes. Firm performance affects ownership structure, but not vice versa. Himmelberg, Hubbard and Palia () % of shares held by insiders managers and directors. Tobin’s Q. Quadratic Piecewise Model.

Piecewise Linear Model. Yes. Quadratic form of ownership effect on. A special class of hybrid systems, that occurs in many applications, are the piecewise linear systems. Due to their nonlinearity, they may often be difficult to analyse. Search the world's most comprehensive index of full-text books.

My library. The problem of fault estimation and fault tolerant control for discrete-time piecewise linear systems is considered in this paper.

An observer based active fault tolerant control strategy against actuator faults is proposed in this paper. An observer is designed such that it estimates simultaneously the state of the system and the actuator fault.

He published more than 70 journal articles in the fields of systems and Control, Solid Mechanics, and Applied Mathematics, as well as 5 monographs. His research interests are in non-smooth dynamical systems (mechanical systems with constraints, impacts, friction, electrical circuits with non-smooth components, sliding-mode control, optimal.

This book presents a computational approach to the analysis of nonlinear and uncertain systems. The main focus is systems with piecewise linear dynamics.

The class of piecewise linear systems examined has nonlinear, possibly discontinuous dynamics, and allows switching rules that incorporate memory and logic. These systems may exhibit astonishingly complex behaviors. Recent advances in LSI technology and the consequent availability of inexpensive but powerful microprocessors have already affected the process control industry in a significant manner.

Microprocessors are being increasingly utilized for improving the performance of control systems and making them more sophisticated as well as reliable.

Many concepts of adaptive and learning control Reviews: 1. Among the most studied triangulations are piecewise linear triangulations of high-dimensional topological manifolds. Their study culminated in the late searly s in a complete classification in the work of Kirby and s: 1.

controllers. By analytical structure, we mean the mathematical relationship between the input and output of a fuzzy controller. Precise understanding of the structure is fundamentally important because it can enable one to analyze and design fuzzy control systems more effectively with the aid of conventional control theory [2, 7, 14].

ing such problems is the class of piecewise linear sys-tems. It captures the effects of saturations and state constraints, and is also a good candidate for studying hybrid control systems Dcf. FSon96GE. Moreover, many popular control schemes, such as gain scheduling and fuzzy logic controllers, can be well modeled by piecewise linear systems.

This class of dynamical systems represents a large number of piecewise linear systems, most notably, linear complementarity systems with the P‐property and their generalizations to affine variational systems, which have many applications in engineering systems and dynamic optimization.

Abstract: The use of piecewise quadratic cost functions is extended from stability analysis of piecewise linear systems to performance analysis and optimal control. Lower bounds on the optimal control cost are obtained by semidefinite programming based on the Bellman inequality.

This also gives an approximation to the optimal control law. An interesting class within this framework is that of piecewise linear (PWL) systems. The rst examples of PWL systems appeared in the seminal book of Andronov, Vitt mechanical and control. In this study, a novel approach for linearization of piecewise linear systems is applied to approximate the root mean square output of a quarter car model with semiactive control.

In mathematics, a piecewise linear (PL) manifold is a topological manifold together with a piecewise linear structure on it.

Such a structure can be defined by means of an atlas, such that one can pass from chart to chart in it by piecewise linear is slightly stronger than the topological notion of a triangulation. An isomorphism of PL manifolds is called a PL homeomorphism. Motivated by a problem in the management of ecological populations, we study the bifurcation structure known as period adding structure for a family of one-dimensional bimodal piecewise linear maps.

constrained optimal control piecewise affine and linear parameter varying systems Posted By Jeffrey Archer Media TEXT ID ed14 Online PDF Ebook Epub Library constrained optimal control piecewise affine and linear parameter varying systems besselmann thomas j amazonsg books aug 27 constrained optimal control.

This manual describes a Matlab toolbox for computational analysis of piecewise linear systems. Key features of the toolbox are modeling, simulation, analysis, and optimal control for piecewise linear systems.

The simulation routines detect sliding modes and simulate equivalent dynamics. The analysis and design are based on computation of piecewise quadratic Lyapunov functions.

Finite-time H∞ control of periodic piecewise linear systems. International Journal of Systems Science: Vol. 48, No. 11, pp. A dynamical system is a manifold M called the phase (or state) space endowed with a family of smooth evolution functions Φ t that for any element t ∈ T, the time, map a point of the phase space back into the phase space.

The notion of smoothness changes with applications and the type of manifold. There are several choices for the set T is taken to be the reals, the dynamical system. The investigated piecewise linear map is defined on three partitions of the unit interval, constant in the middle partition and therefore displays a rich variety of superstable orbits.

Abstract. The motivation for developing an analysis tool for piecewise linear (PL) systems arose from the desire to model some automotive control systems in a coherent systems appear to have some common properties, in that the system nonlinearities are often represented as piecewise linear functions (e.g.

saturation, backlash and relays) and the controllers. In this article, we present a piecewise linear model predictive control framework for operation and control of a single‐bed RPSA system.

A set of coupled, nonlinear partial differential equations with flow switching conditions is used as a plant model for the RPSA process.Intelligent Control techniques are becoming important tools in both academia and industry. Methodologies developed in the field of soft-computing, such as neural networks, fuzzy systems and evolutionary computation, can lead to accommodation of more complex processes, improved performance and considerable time savings and cost reductions.

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