Nonlinear systems tracking. (2016)

• Record Type: Book
• Further Information: Note: Lyubomir T. Gruyitch.
• Authors: Gruĭich, L. T (Li︠u︡bomir Tikhomira)
• Contents: PREFACE Systems, control, and computers; Dynamical systems; Dynamical systems and computers; Dynamical systems and control; Control goal; Tracking control tasks On the book; Goals of the book; The book structure and composition; In gratitude SYSTEMS AND CONTROL BASIS Introduction; Time and systems; Time, physical variables, and systems; Notational preliminaries; Classes of the systems Sets; Set basis; Neighborhood; Continuity of sets; Set contraction Systems; General dynamical systems; Plants and control systems; Existence and solvability; Fundamental control principle Desired regime; Introduction; Concept and definitions Origins of time-varying models; Introduction; Deviations and mathematical models TRACKABILITY Trackability concept; On system and control concepts; Controllability and observability; Disturbance rejection or compensation; New control concepts; Time and control Perfect trackability concepts; Perfect trackability; Perfect natural trackability Perfect trackability criteria; Output space criteria; State space criteria; Both spaces criteria Perfect natural trackability criteria; Output space criteria; State space criteria; Both spaces criteria Imperfect trackability concepts; Introduction to (imperfect) trackability; Trackability; Natural trackability; Elementwise trackability; Elementwise natural trackability Imperfect trackability criteria; Output space criteria; State space criteria; Both spaces criteria Imperfect natural trackability criteria; Output space criteria; State space criteria; Both spaces criteria PERFECT TRACKING Tracking generally; Primary control goal; Tracking versus stability Tracking concepts; Tracking characterization and space; Various tracking concepts Perfect tracking concept; On perfect tracking generally; Definitions IMPERFECT TRACKING: STABLE TRACKING Output space definitions; Introduction; Definitions of L-tracking properties State space definitions; Introduction; Definitions of L-tracking properties Set tracking; Introduction; Definitions of set tracking properties CRITERIA FOR STABLE TRACKING Introduction; Lyapunov methods and methodologies; Tracking accuracy and definitions; Suitable mathematical models Comparison and (semi)definite functions; Comparison functions; Semidefinite functions; Definite functions; Decrescent functions; Time-invariant vector definite functions; Time-varying vector definite functions Sets and functions; Positive definite function induces sets; Set invariance relative to a function; Semidefinite functions and time-varying sets; Definite functions relative to time-varying sets; Decrescent functions and time-varying sets; Families F of time-varying sets Outline of the Lyapunov method; Physical origin of the Lyapunov method; Lyapunov method; Lyapunov theorems for nonlinear systems; Lyapunov original methodologies Lyapunov method extended to tracking; Criteria: Asymptotically contractive sets; Criteria: Noncontractive time-varying sets CLM: Motion and set tracking; Introduction; Systems smooth properties; Systems and generating functions; Criteria: Systems with continuous motions; Criteria: Systems with differentiable motions Time-varying set tracking; Time-varying set and motion tracking; Conditions for stable tracking; Conditions for exponential tracking FINITE REACHABILITY TIME TRACKING Output space definitions; Finite scalar reachability time; Finite vector reachability time State space definitions; Finite scalar reachability time tracking; Elementwise state FVRT tracking Criteria on contractive sets; Introduction; Stable tracking with FSRT; Stable tracking with FVRT Criteria on noncontractive sets; Stable tracking with FSRT; Stable tracking with FVRT FRT tracking control synthesis; Internal dynamics space; Output space REQUIRED TRACKING QUALITY AND CONTROL SYNTHESIS Natural tracking control concept Tracking quality: Output space; Output space tracking operator; Tracking operator properties; Reference output; Tracking algorithm and initial conditions Tracking algorithms: Output space; Matrix notation meaning; Examples of tracking algorithms NTC synthesis: Output space; General NTC theorem: Output space; NTC synthesis: Output space Tracking quality: State space; State space tracking operator; Tracking operator properties; Reference state vector RR; Tracking algorithm and initial conditions Tracking algorithms: State space; Matrix notation meaning; Examples of tracking algorithms NTC synthesis: State space; General NTC theorem: State space; NTC synthesis in the state space Tracking quality: Both spaces; Both spaces (BS) tracking operator; Tracking operator properties; The reference BS vector; Tracking algorithm and initial conditions Tracking algorithms: Both spaces; Matrix notation meaning; Examples of tracking algorithms NTC synthesis: Both spaces; General NTC theorem: Both spaces (BS); NTC synthesis in both spaces CONCLUSION Systems, control, tracking, trackability; Perturbed systems; Control goal: Tracking; Tracking demands trackability Lyapunov theory and tracking; Lyapunov theory extended to tracking; Consistent Lyapunov methodology: Tracking; Lyapunov control synthesis High-quality tracking: Control synthesis; Tracking with finite reachability time; Demanded tracking quality; Trackability theory and tracking theory importance APPENDICES Notation; Abbreviations; Indexes; Letters<BR
• Edition: 1st
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2016
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 629.836; Nonlinear systems; Automatic tracking; Automatic control
• Languages: English
• ISBNs: 9781498753265
• Related ISBNs: 9781498753258
• Notes: Note: Description based on CIP data; item not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.