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Robust control : theory and applications / Kang-Zhi Liu, Yu Yao. - Singapore : Wiley, 2016. - XXII, 460 stron : ilustracje ; 25 cm.

Autor

Liu Kang-Zhi. Yao Yu.

Forma i typ

Książki Publikacje naukowe

Temat

Sterowanie

Dziedzina i ujęcie

Matematyka Inżynieria i technika

Bibliografia strony [450]-454. Indeks.

Engineering Background of Robust Control Methodologies of Robust Control Small-Gain ApproachPositive Real Method Lyapunov Method Robust Regional PolePlacement Gain Scheduling A Brief History of Robust Control Basics of Linear Algebra and Function Analysis Trace, Determinant, Matrix Inverse, and Block Matrix Elementary Linear Transformation of Matrix and Its Matrix Description Linear Vector Space Linear Independence Dimension and Basis Coordinate Transformation Norm and Inner Product of Vector Vector Norm Product of Vector Linear Subspace Subspace Robust Control Matrix and Linear Mapping Image and Kernel Space Similarity Transformation of Matrixof Matrix Linear Algebraic EquationEigenvalue and Eigenvector Invariant Subspace Mapping Restricted in Invariant Subspace Invariant Subspace over Diagonalization of Hermitian/Symmetric Matrix Pseudo-Inverse and Linear Matrix Equation Quadratic Form and Positive Definite Matrix Quadratic Form and Energy Function Positive Definite and Positive Semidefinite Matrices Norm and Inner Product of Matrix Matrix Norm Inner Product of Matrices Singular Value and Singular Value Decomposition Calculus of Vector and Matrix Scala Variable Vector or Matrix Variable Kronecker Product Norm and Inner Product of Function Norm Inner Product of Signals Norm and Inner Product of Signals in Frequency Domain Computation of 2-Norm and Inner Product of Signals System Norm Inner Product of Systems Notes and References Basics of Convex Analysis and LMI Convex Set and Convex Function Affine Set, Convex Set, and Cone Hyperplane, Half-Space, Ellipsoid, and Polytope Separating Hyperplane and Dual Problem Affine Function Convex Function Introduction to LMI Control Problem and LMI Typical LMI Problems BMI to LMI:Variable Elimination From BMI to LMI:Variable Change Interior Point Method.

Analytical Center of LMI Interior Point Method Based on Central PathFundamentals of Linear System Structural Properties of Dynamic System Description of Linear System Controllability and Observability State Realization and Similarity Transformation Pole Zero Relative Degree and Infinity Zero Inverse System System Connections Stability. Bounded-Input Bounded-Output Stability Internal Stability Cancellation Stabilizability and Detectability Lyapunov Equation Controllability Gramian and Observability Gramian Balanced Realization Linear Fractional Transformation System Performance Test Signal Reference Input Persistent Disturbance Characteristic of Test Signal Steady-State Response Analysis on Closed-Loop Transfer Function Tracking Disturbance Suppression Transient Response Performance Criteria Prototype Second-Order System Impact of Additional Pole and ZeroOvershoot and Undershoot Bandwidth and Fast Response Comparison of Open-Loop and Closed-Loop Controls Reference Tracking Impact of Model Uncertainty Disturbance Suppression Robust Control Stabilization of Linear Systems State Feedback Canonical Forms Pole Placement of Single-Input Systems Pole Placement of Multiple-Input Systems*Principle of Pole Selection Observer Full-Order Observer Minimal Order Observer Combined System and Separation Principle Full-Order Observer Case Minimal Order Observer Case Parametrization of Stabilizing Controllers Generalized Feedback Control System Application Examples Stable Plant Case General Case Parametrization Structure of Closed-Loop System Affine Structure in Controller Parameter Affine Structure in Free Parameter 2-Degree-of-Freedom System.

Structure of 2-Degree-of-Freedom Systems Implementation of 2-Degree-of-Freedom Control Relation between Time Domain and Frequency Domain Properties Parseval's Theorem Fourier Transform and Inverse Fourier Transform Convolution Parseval's Theorem Proof of Parseval's Theorem KYP Lemma Application in Bounded Real Lemma Application in Positive Real Lemma Proof KYP Lemma*Algebraic Riccati Equation Algorithm for Riccati Equation Stabilizing Solution Inner Function Performance Limitation of Feedback Control Preliminaries Poisson Integral Formula All-Pass and Minimum-Phase Transfer Functions Limitation on Achievable Closed-loop Transfer Function Interpolation Condition Analysis of Sensitivity Function Integral Relation Bode Integral Relation on Sensitivity Bode Phase Formula Limitation of Reference Tracking System 2-Degree-of-Freedom System Model Uncertainty Model ncertainty: Examples Principle of Robust Control Category of Model Uncertainty Plant Set with Dynamic Uncertainty Concrete Descriptions Modeling of Uncertainty Bound Parametric System Polytopic Set of Parameter Vectors Matrix Polytope and Polytopic SystemNorm-Bounded Parametric System Separation of Parameter Uncertainties Plant Set with Phase Information of Uncertainty LPV Model and Nonlinear Systems LPV Model From Nonlinear System LPV Model Robust Stability and Robust Performance Robust Control Robustness Analysis Small-Gain Principle Small-Gain Theorem Robust Stability Criteria Equivalence between Performance and Robust Stability Analysis of Robust Performance Sufficient Condition for Robust Performance Introduction of Scaling Stability Radius of Norm-Bounded Parametric Systems Robustness Analysis Lyapunov Method Overview of Lyapunov Stability Theory Asymptotic Stability ConditionCondition for State Convergence Rate Quadratic Stability Condition for Quadratic Stability Quadratic Stability Conditions for Polytopic SystemsQuadratic Stability Condition for Norm-Bounded Parametric Systems System Circle Criterion Popov Criterion Passive Systems Robustness Analysis IQC Approach IQC IQC Theorem Applications IQC.

Proof IQC TheoremFunction Relation with Input and Output Relation between WeightingFunction and Dynamics of Disturbance/Noise Computing Methods Condition for Solution to Nonsingular Control Problem Proof of Nonsingular Solution Preliminaries Proof of Theorems Control Control an RTP System Model RTP Optimal Configuration of Lamps Location of Sensors Control Design Simulation Results Control Control Problem and Norm Output Relation of Transfer Matrix Norm Disturbance Control and Weighting Function LMI Solution Variable Elimination Proof of Theorem Computation of Controller LMI Solution Variable Change Design of Generalized Plant and Weighting Function Principle for Selection of Generalized Plant Selection of Weighting Function Scaled Synthesis Introduction to Robust Problems with Multiple Uncertainties Robust Performance Problem Its Implication Properties Bounds of Condition for Robust Performance D-K Iteration Design Convexity of the Minimization of the Largest Singular Value Procedure of D-KIteration Design Robust Control of Parametric Systems Quadratic Stabilization of Polytopic Systems State Feedback Output Feedback Robust Control Quadratic Stabilization of Norm-Bounded Parametric Systems Robust Control Design of Polytopic Systems Robust Control Design of Norm-Bounded Parametric Systems Regional Pole Placement Convex Region and Its Characterization Relationship between Performance and Pole Location LMI Region and Its Characterization Condition for Regional Pole Placement Composite LMI Region Feedback Controller Design Design Method Design Example: Mass-Spring-Damper SystemAnalysis of Robust Pole Placement Polytopic System Norm-Bounded Parametric System Robust Design of Regional Pole Placement On Polytopic Systems Design for Norm-Bounded Parametric System Robust Design Example: Mass-Spring-Damper System Gain-Scheduled Control General Structure LFT-Type Parametric Model Gain-Scheduled Control Design with Scaling Computation of Controller Case Study: Stabilization of a Unicycle Robot Structure and Model Control Design Experiment Results Affine LPV Model Easy-to-Design Structure of Gain-Scheduled Controller Robust Multiobjective Control of Affine Systems Case Study: Transient Stabilization of a Power System LPV Model Multiobjective Design Simulation Results Robustness Comparison with PSS Positive Real Method Structure of Uncertain Closed-Loop System Robust Stabilization Based on Strongly Positive Realness Variable Change Variable Elimination Robust Stabilization Based on Strictly Positive Realness Robust Performance Design for Systems with Positive Real Uncertainty.

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