Chaos in automatic control by Wilfrid Perruquetti, Jean-Pierre Barbot

By Wilfrid Perruquetti, Jean-Pierre Barbot

Chaotic habit arises in various regulate settings. in certain cases, it truly is invaluable to take away this habit; in others, introducing or benefiting from the prevailing chaotic elements should be invaluable for instance in cryptography. Chaos in computerized regulate surveys the newest tools for placing, profiting from, or removal chaos in quite a few functions. This ebook offers the theoretical and pedagogical foundation of chaos up to the mark platforms besides new recommendations and up to date advancements within the box. provided in 3 components, the e-book examines open-loop research, closed-loop keep watch over, and functions of chaos on top of things platforms. the 1st part builds a history within the arithmetic of normal differential and distinction equations on which the rest of the e-book relies. It comprises an introductory bankruptcy by way of Christian Mira, a pioneer in chaos examine. the following part explores strategies to difficulties coming up in statement and keep an eye on of closed-loop chaotic regulate platforms. those comprise model-independent keep watch over tools, thoughts similar to H-infinity and sliding modes, polytopic observers, general types utilizing homogeneous adjustments, and observability general kinds. the ultimate part explores purposes in instant transmission, optics, energy electronics, and cryptography. Chaos in computerized regulate distills the most recent considering in chaos whereas pertaining to it to the newest advancements and purposes on top of things. It serves as a platform for constructing extra powerful, independent, clever, and adaptive structures.

Show description

Read Online or Download Chaos in automatic control PDF

Similar robotics & automation books

BUILD A REMOTECONTROLLED ROBOT DAVID R SHIRCLIFF

TAB Electronics is the top-rated identify in beginner robotics. because the 1987 free up of Gordon McComb's blockbuster robotic Builder's Bonanza hobbyists have regarded to TAB because the resource for state-of-the-art, how-to robotics titles.
These groundbreaking, seriously illustrated books clarify the way to create everythinbg from simple, uncomplicated robots to ones that stroll, see, believe, speak, hear and struggle! Written through "professors of robotics" akin to Gordon McComb and John Iovine, they're nice for newcomers in addition to skilled robotic builders.
Authoritative, cutting edge, enjoyable, and regularly some distance sooner than an individual else, TAB maintains the culture with construct your individual Remote-Controlled robotic.

Moral Machines: Teaching Robots Right from Wrong

This e-book combines the information of top commentators on ethics, equipment of enforcing AI, and the hazards of AI, right into a set of rules on how machines should in attaining moral behavior.

The booklet generally offers a correct survey of what these commentators agree and disagree approximately. yet there is adequate war of words that we'd like a few insights into which perspectives are right (especially approximately theories of ethics) that allows you to produce valuable suggestion to AI designers, and the authors wouldn't have these types of insights.

The booklet focuses extra on close to time period hazards of software program that's less clever than people, and is complacent in regards to the hazards of superhuman AI.

The implications of superhuman AIs for theories of ethics should remove darkness from flaws in them that are not seen while contemplating in simple terms human-level intelligence. for instance, they point out an issue that any AI could price people for his or her range of rules, which might support AIs to look the gap of attainable principles. This turns out to have severe difficulties, akin to what stops an AI from twiddling with human minds to extend their range? but the authors are too desirous about human-like minds to visualize an intelligence which might do that.

Their dialogue of the advocates pleasant AI turns out a section pressured. The authors wonder whether these advocates are attempting to quell apprehension approximately AI dangers, whilst i have saw lovely constant efforts via these advocates to create apprehension between AI researchers.

Advanced Control of Piezoelectric Micro-/Nano-Positioning Systems

This booklet explores rising tools and algorithms that permit particular regulate of micro-/nano-positioning platforms. The textual content describes 3 keep watch over innovations: hysteresis-model-based feedforward keep watch over and hysteresis-model-free suggestions keep an eye on according to and loose from kingdom remark. every one paradigm gets committed realization inside of a selected a part of the textual content.

Towards Integrating Control and Information Theories: From Information-Theoretic Measures to Control Performance Limitations

This ebook investigates the functionality hindrance matters in networked suggestions platforms. the truth that networked suggestions platforms encompass keep watch over and verbal exchange units and structures demands the combination of keep watch over idea and data conception. the first contributions of this ebook lie in facets: the newly-proposed information-theoretic measures and the newly-discovered keep watch over functionality barriers.

Extra resources for Chaos in automatic control

Sample text

1 Generalities on Discrete Models Different Forms of Models This section concerns dynamical systems, described directly or indirectly (link with ODEs defined below) by a “ discrete ” equation, whose solution is a sequence of points determined by an initial point (initial condition). 3 Generalities on Discrete Models 11 (or simply recurrence). 2) where X is a phase (or state) vector, is a parameter vector, and X0 is the initial condition. Depending on the scientific field, such an equation is also called iteration, or map, or point-mapping.

10 Conclusion . . . . . . . . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . . . . . 1 34 35 Introduction Dynamics is a concise term referring to the study of time-evolving processes. The corresponding system of equations describing this evolution is called a dynamic system. Nonlinear dynamics is the scientific field concerning the behavior of real systems, linearity being always an approximation. This field, which embraces ordinary differential equations (continuous dynamics) and maps, also called recurrences (discrete dynamics), is too wide to be completely presented in the limited framework of this book.

2 Maps Obtained from an ODE by a Poincaré Section . 4 Singularities and Bifurcations Common to Invertible and Noninvertible Maps . . . . . . . . . . . . . . . 1 Singularities and Bifurcations . . . . . . . . . 2 Bifurcation Sets: Normal Forms of Exceptional Critical Cases . . . . . . . . . . . . . . . 3 Singularities Sense when the Map is Obtained from a Poincaré Section . . . . . . . . . . . 5 Map Singularities and Bifurcations Specific to Noninvertible Maps .

Download PDF sample

Rated 4.15 of 5 – based on 33 votes