Linked e-resources
Details
Table of Contents
Preface; Acknowledgements; Contents; Contributors; 1 Dr. Alexander Semionovich Poznyak Gorbatch: Biography; 1.1 Current Position; 1.2 Resume; 1.3 Photos from the Personal Archive of Prof. A.Poznyak; Books, Articles and Conferences; 2 Luenberger Observer Design for Uncertainty Nonlinear Systems; 2.1 Introduction; 2.2 Robust Nonlinear Observer; 2.3 Stability of the Robust Nonlinear Observer; 2.4 Simulations; 2.5 Conclusion; References; 3 Hill Equation: From 1 to 2 Degrees of Freedom; 3.1 Introduction; 3.2 Preliminaries; 3.2.1 Floquet Theory; 3.2.2 Hamiltonian Systems
3.3 Hill Equation: The Scalar Case3.3.1 Multipliers of Hamiltonian Systems; 3.3.2 Arnold's Tongues; 3.3.3 Meissner Equation; 3.3.4 Critical Lines; 3.3.5 Forced Hill Equation; 3.3.6 Open-Loop Stabilization of Hill Equation; 3.4 Hill Equation: Two Degrees of Freedom Case; 3.4.1 Reduction of the Characteristic Polynomial; 3.4.2 Computational Issues; 3.5 Future Work; 3.5.1 Generalizations of the Scalar Case; 3.5.2 Generalizations of the 2-DOFs; 3.6 Conclusions; References; 4 Sliding Mode Control Devoid of State Measurements; 4.1 Introduction; 4.2 Delta-Sigma Modulation
4.2.1 Use of Delta-Sigma Modulation in Average Controller Design Implementation for Switched Systems4.2.2 Active Disturbance Rejection as an Average Controller for a Switched System; 4.3 Integral Reconstructors and Sliding Mode Control for Pure Integration Systems; 4.3.1 Relation with Delta-Sigma Modulation; 4.3.2 Sliding Mode Control of Differentially Flat Systems; 4.4 Experimental Case Studies; 4.4.1 An Inverted Pendulum on a Car System; 4.4.2 A Nonlinear Manipulator-DC Motor System; 4.5 Conclusions; References; 5 Design of Asymptotic Second-Order Sliding Mode Control System
5.1 Introduction5.2 Problem Description: Nonlinear Model; 5.3 Design of Asymptotic SM Control System; 5.3.1 A Stable Sliding Mode; 5.3.2 Convergence to Sliding Mode; 5.3.3 Asymptotic Stability; 5.4 Simulation Results; 5.5 Conclusion; References; 6 Fractional-Order Model Reference Adaptive Controllers for First-Order Integer Plants; 6.1 Introduction; 6.2 Preliminaries; 6.3 The Control Problem; 6.4 The Direct Approach; 6.4.1 Boundedness of the Signals in the DFOMRAC Scheme; 6.4.2 Convergence of the Parameter Errors in the DFOMRAC Scheme
6.4.3 Convergence of the Control Error in the DFOMRAC Scheme6.5 The Combined Approach; 6.5.1 Boundedness of the Signals in the CFOMRAC Scheme; 6.5.2 Convergence of the Control Error in the CFOMRAC Scheme; 6.6 A Comparative Simulation Study; 6.6.1 Simulation Environment 1: Influence of the Fractional Orders; 6.6.2 Simulation Environment 2: Influence of the Adaptive Gains; 6.6.3 Simulation Environment 3: Influence of the Reference Signal in the Parameters Convergence; References; 7 Sliding Modes for Switched Uncertain Linear Time Invariant Systems: An Output Integral Sliding Mode Approach
3.3 Hill Equation: The Scalar Case3.3.1 Multipliers of Hamiltonian Systems; 3.3.2 Arnold's Tongues; 3.3.3 Meissner Equation; 3.3.4 Critical Lines; 3.3.5 Forced Hill Equation; 3.3.6 Open-Loop Stabilization of Hill Equation; 3.4 Hill Equation: Two Degrees of Freedom Case; 3.4.1 Reduction of the Characteristic Polynomial; 3.4.2 Computational Issues; 3.5 Future Work; 3.5.1 Generalizations of the Scalar Case; 3.5.2 Generalizations of the 2-DOFs; 3.6 Conclusions; References; 4 Sliding Mode Control Devoid of State Measurements; 4.1 Introduction; 4.2 Delta-Sigma Modulation
4.2.1 Use of Delta-Sigma Modulation in Average Controller Design Implementation for Switched Systems4.2.2 Active Disturbance Rejection as an Average Controller for a Switched System; 4.3 Integral Reconstructors and Sliding Mode Control for Pure Integration Systems; 4.3.1 Relation with Delta-Sigma Modulation; 4.3.2 Sliding Mode Control of Differentially Flat Systems; 4.4 Experimental Case Studies; 4.4.1 An Inverted Pendulum on a Car System; 4.4.2 A Nonlinear Manipulator-DC Motor System; 4.5 Conclusions; References; 5 Design of Asymptotic Second-Order Sliding Mode Control System
5.1 Introduction5.2 Problem Description: Nonlinear Model; 5.3 Design of Asymptotic SM Control System; 5.3.1 A Stable Sliding Mode; 5.3.2 Convergence to Sliding Mode; 5.3.3 Asymptotic Stability; 5.4 Simulation Results; 5.5 Conclusion; References; 6 Fractional-Order Model Reference Adaptive Controllers for First-Order Integer Plants; 6.1 Introduction; 6.2 Preliminaries; 6.3 The Control Problem; 6.4 The Direct Approach; 6.4.1 Boundedness of the Signals in the DFOMRAC Scheme; 6.4.2 Convergence of the Parameter Errors in the DFOMRAC Scheme
6.4.3 Convergence of the Control Error in the DFOMRAC Scheme6.5 The Combined Approach; 6.5.1 Boundedness of the Signals in the CFOMRAC Scheme; 6.5.2 Convergence of the Control Error in the CFOMRAC Scheme; 6.6 A Comparative Simulation Study; 6.6.1 Simulation Environment 1: Influence of the Fractional Orders; 6.6.2 Simulation Environment 2: Influence of the Adaptive Gains; 6.6.3 Simulation Environment 3: Influence of the Reference Signal in the Parameters Convergence; References; 7 Sliding Modes for Switched Uncertain Linear Time Invariant Systems: An Output Integral Sliding Mode Approach