Produktbild: Robust Safety-Critical Control
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Robust Safety-Critical Control Theory, Application and Experiments

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

22.12.2026

Verlag

John Wiley & Sons

Seitenzahl

352

Sprache

Englisch

ISBN

978-1-394-40018-8

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

22.12.2026

Verlag

John Wiley & Sons

Seitenzahl

352

Sprache

Englisch

ISBN

978-1-394-40018-8

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Robust Safety-Critical Control
  • Contents

    1 Introduction

    1.1 Characterization of Safety for Dynamical Systems

    1.2 Robust Safety

    1.3 Safety-Critical Control: A Quadratic Programming Approach

    1.4 A Practical Scenario of Robust Safety-Critical Control

    1.5 Challenges

    1.6 Outline of This Book

    1.7 Notes                                                                                                             

    2 Safety-Critical Control Subject to Dynamic Uncertainties: A Nonlinear Small-Gain Approach

    2.1 Problem Formulation                                                                                          

    2.2 Robust Safety-Critical Controller Design                                     

    2.3 Interaction Between Velocity Tracking and Safety                

    2.4 Small-Gain Synthesis for Safety of the Closed-Loop System

    2.5 Simulation and Experiment                                                                                

    2.6 Notes                                                                                                                             

    3 Safety-Critical Control Under Multiple Constraints: A Feasible-

    Set Reshaping Technique

    3.1 Problem Formulation                                                                                            

    3.2 Trial of Directly Extending the Safety Margin                             

    3.3 A Feasible-Set Reshaping Technique for Robust Safety-Critical Control                                                                                                                               
    3.4 Interaction Between Velocity Tracking and Safety                  

    3.5 Small-Gain Synthesis for Safety of the Closed-Loop System

    3.6 Simulation and Experiment                                                                              

    3.7 Notes                                                                                                                             

    4 Safety-Critical Control in Cluttered Environments: Set-Valued Measurement and Feasible-Set Reshaping

    4.1 Problem Formulation                                                                                            

    4.2 A Continuous, Reactive Safety-Critical Controller                  

    4.3 Safety of the Closed-Loop System                                                  

    4.4 Special Case: An Integrator-Like Mobile Robot                         

    4.5 Simulation and Experiment                                                                              

    4.6 Notes                                                                                                                           

    5 Safety-Critical Control of Multi-Agent Systems: Feasible-Set Reshaping and Nonlinear Small-Gain Synthesis 

    5.1 Problem Formulation                                                                                            

    5.2 Trials with Standard Designs                                                                              

    5.3 Feasible-Set Reshaping and Controller Design                       

    5.4 Properties of the Proposed Design and Proofs                          

    5.5 Small-Gain Analysis for Safety of the Multi-Agent System

    5.6 Tuning the Safety-Critical Controllers                                         

    5.7 Numerical Simulation and Experiment                                         

    5.8 Notes                                                                                                                           

    6 Safety-Critical Control of Euler-Lagrange Systems: Incorporating

    Barrier and Energy Functions

    6.1 Problem Formulation                                                                                            

    6.2 Outer Loop: Safety-Oriented Controller Design                      

    6.3 Inner Loop: Velocity-Tracking Controller Design                     

    6.4 Safety Verification: Incorporating Barrier and Energy Functions

    6.5 Numerical Simulation and Experiment                                       

    6.6 Notes                                                                                                                             

    7 Safety-Critical Control of Cascade Systems: Towards a Constructive

    Control Framework

    7.1 Problem Formulation                                                                                            

    7.2 Design Ingredient: Plants with Relative Degree One

    7.3 Design Ingredient: Refined Feasible-Set Reshaping                               

    7.4 Constructive Design for Plants in the Cascade Form             

    7.5 Experiment: VTOL Taking Off in a Narrow Space                       

    7.6 Notes                                                                                                                             

    A Mathematical Preliminaries

    A.1 Real Vectors and Matrices                                                                

    A.2 Basis and Positive Basis                                                                      

    A.3 Sets and Convexity                                                                                               

    A.4 Continuity, Differentiability and Convexity of Functions     

    A.5 Comparison Functions                                                                                         

    A.6 Nonsmooth Analysis                                                                                           

    A.7 Set Invariance                                                                                                         

    B Quadratic Programming

    B.1 Quadratic Optimisation Problems

    B.2 Lipschitz Continuity of QP Solutions                                                              

    C Lyapunov Stability, Input-to-State Stability, and the Nonlinear

    Small-Gain Theorem

    C.1 Lyapunov Stability Theory                                                                  

    C.2 Input-to-State Stability                                                                                        

    C.3 The Nonlinear Small-Gain Theorem