Max Plus Methods For Nonlinear Control And Estimation PDF Download
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Author | : William M. McEneaney |
Publisher | : Springer Science & Business Media |
Total Pages | : 268 |
Release | : 2006 |
Genre | : Language Arts & Disciplines |
ISBN | : 9780817635343 |
Download Max-Plus Methods for Nonlinear Control and Estimation Book in PDF, ePub and Kindle
The central focus of this book is the control of continuous-time/continuous-space nonlinear systems. Using new techniques that employ the max-plus algebra, the author addresses several classes of nonlinear control problems, including nonlinear optimal control problems and nonlinear robust/H-infinity control and estimation problems. Several numerical techniques are employed, including a max-plus eigenvector approach and an approach that avoids the curse-of-dimensionality. The max-plus-based methods examined in this work belong to an entirely new class of numerical methods for the solution of nonlinear control problems and their associated Hamilton–Jacobi–Bellman (HJB) PDEs; these methods are not equivalent to either of the more commonly used finite element or characteristic approaches. Max-Plus Methods for Nonlinear Control and Estimation will be of interest to applied mathematicians, engineers, and graduate students interested in the control of nonlinear systems through the implementation of recently developed numerical methods.
Author | : John T. Betts |
Publisher | : SIAM |
Total Pages | : 442 |
Release | : 2010-01-01 |
Genre | : Mathematics |
ISBN | : 0898716888 |
Download Practical Methods for Optimal Control and Estimation Using Nonlinear Programming Book in PDF, ePub and Kindle
A focused presentation of how sparse optimization methods can be used to solve optimal control and estimation problems.
Author | : |
Publisher | : |
Total Pages | : 18 |
Release | : 1999 |
Genre | : |
ISBN | : |
Download Nonlinear Robust Control and Estimation Book in PDF, ePub and Kindle
The overall goal has been that of computationally feasible methods for nonlinear Robust and H-infinity control and filtering, with the recent addition of risk-sensitive control and filtering. The methods are based on max-plus, min-plus and log-plus algebraic approaches to exact linearization of the associated semi-groups. Other tangential efforts have included making use of existing dimensional reductions in certain problems.
Author | : Luke Adam Wendt |
Publisher | : |
Total Pages | : |
Release | : 2017 |
Genre | : |
ISBN | : |
Download Optimal Nonlinear Control and Estimation Using Global Domain Linearization Book in PDF, ePub and Kindle
Author | : Maurizio Falcone |
Publisher | : Springer |
Total Pages | : 275 |
Release | : 2019-01-26 |
Genre | : Science |
ISBN | : 3030019594 |
Download Numerical Methods for Optimal Control Problems Book in PDF, ePub and Kindle
This work presents recent mathematical methods in the area of optimal control with a particular emphasis on the computational aspects and applications. Optimal control theory concerns the determination of control strategies for complex dynamical systems, in order to optimize some measure of their performance. Started in the 60's under the pressure of the "space race" between the US and the former USSR, the field now has a far wider scope, and embraces a variety of areas ranging from process control to traffic flow optimization, renewable resources exploitation and management of financial markets. These emerging applications require more and more efficient numerical methods for their solution, a very difficult task due the huge number of variables. The chapters of this volume give an up-to-date presentation of several recent methods in this area including fast dynamic programming algorithms, model predictive control and max-plus techniques. This book is addressed to researchers, graduate students and applied scientists working in the area of control problems, differential games and their applications.
Author | : S. A. Billings |
Publisher | : |
Total Pages | : |
Release | : 1982 |
Genre | : |
ISBN | : |
Download Parameter Estimation Techniques for Nonlinear Systems Book in PDF, ePub and Kindle
Author | : Arjan van der Schaft |
Publisher | : Springer |
Total Pages | : 334 |
Release | : 2016-12-04 |
Genre | : Technology & Engineering |
ISBN | : 3319499920 |
Download L2-Gain and Passivity Techniques in Nonlinear Control Book in PDF, ePub and Kindle
This standard text gives a unified treatment of passivity and L2-gain theory for nonlinear state space systems, preceded by a compact treatment of classical passivity and small-gain theorems for nonlinear input-output maps. The synthesis between passivity and L2-gain theory is provided by the theory of dissipative systems. Specifically, the small-gain and passivity theorems and their implications for nonlinear stability and stabilization are discussed from this standpoint. The connection between L2-gain and passivity via scattering is detailed. Feedback equivalence to a passive system and resulting stabilization strategies are discussed. The passivity concepts are enriched by a generalised Hamiltonian formalism, emphasising the close relations with physical modeling and control by interconnection, and leading to novel control methodologies going beyond passivity. The potential of L2-gain techniques in nonlinear control, including a theory of all-pass factorizations of nonlinear systems, and of parametrization of stabilizing controllers, is demonstrated. The nonlinear H-infinity optimal control problem is also treated and the book concludes with a geometric analysis of the solution sets of Hamilton-Jacobi inequalities and their relation with Riccati inequalities for the linearization. · L2-Gain and Passivity Techniques in Nonlinear Control (third edition) is thoroughly updated, revised, reorganized and expanded. Among the changes, readers will find: · updated and extended coverage of dissipative systems theory · substantial new material regarding converse passivity theorems and incremental/shifted passivity · coverage of recent developments on networks of passive systems with examples · a completely overhauled and succinct introduction to modeling and control of port-Hamiltonian systems, followed by an exposition of port-Hamiltonian formulation of physical network dynamics · updated treatment of all-pass factorization of nonlinear systems The book provides graduate students and researchers in systems and control with a compact presentation of a fundamental and rapidly developing area of nonlinear control theory, illustrated by a broad range of relevant examples stemming from different application areas.
Author | : Mario Eduardo Villanueva |
Publisher | : |
Total Pages | : |
Release | : 2015 |
Genre | : |
ISBN | : |
Download Set-theoretic Methods for Analysis Estimation and Control of Nonlinear Systems Book in PDF, ePub and Kindle
Author | : Bernd F. Heidergott |
Publisher | : Springer Science & Business Media |
Total Pages | : 324 |
Release | : 2006-12-26 |
Genre | : Computers |
ISBN | : 0387389954 |
Download Max-Plus Linear Stochastic Systems and Perturbation Analysis Book in PDF, ePub and Kindle
This book provides a thorough review and explanation of the theory of stochastic max-plus linear systems, which has seen rapid advances in the last decade. The coverage includes modeling issues and stability theory for stochastic max-plus systems, perturbation analysis of max-plus systems, developing a calculus for differentiation of max-plus systems. This leads to numerical evaluations of performance indices of max-plus linear stochastic systems, such as the Lyapunov exponent or waiting times.
Author | : Wendell H. Fleming |
Publisher | : Springer Science & Business Media |
Total Pages | : 436 |
Release | : 2006-02-04 |
Genre | : Mathematics |
ISBN | : 0387310711 |
Download Controlled Markov Processes and Viscosity Solutions Book in PDF, ePub and Kindle
This book is an introduction to optimal stochastic control for continuous time Markov processes and the theory of viscosity solutions. It covers dynamic programming for deterministic optimal control problems, as well as to the corresponding theory of viscosity solutions. New chapters in this second edition introduce the role of stochastic optimal control in portfolio optimization and in pricing derivatives in incomplete markets and two-controller, zero-sum differential games.