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True Digital Control : Statistical Modelling and Non-Minimal State Space Design.
True Digital Control: Statistical Modelling and Non-Minimal State Space Designdevelops a true digital control design philosophy that encompasses data-based model identification, through to control algorithm design, robustness evaluation and implementation. With a heritage from both classical and mod...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hoboken :
Wiley,
2013.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- TRUE DIGITAL CONTROL; Contents; Preface; List of Acronyms; List of Examples, Theorems and Estimation Algorithms; 1 Introduction; 1.1 Control Engineering and Control Theory; 1.2 Classical and Modern Control; 1.3 The Evolution of the NMSS Model Form; 1.4 True Digital Control; 1.5 Book Outline; 1.6 Concluding Remarks; References; 2 Discrete-Time Transfer Functions; 2.1 Discrete-Time TF Models; 2.1.1 The Backward Shift Operator; 2.1.2 General Discrete-Time TF Model; 2.1.3 Steady-State Gain; 2.2 Stability and the Unit Circle; 2.3 Block Diagram Analysis; 2.4 Discrete-Time Control.
- 2.5 Continuous to Discrete-Time TF Model Conversion2.6 Concluding Remarks; References; 3 Minimal State Variable Feedback; 3.1 Controllable Canonical Form; 3.1.1 State Variable Feedback for the General TF Model; 3.2 Observable Canonical Form; 3.3 General State Space Form; 3.3.1 Transfer Function Form of a State Space Model; 3.3.2 The Characteristic Equation, Eigenvalues and Eigenvectors; 3.3.3 The Diagonal Form of a State Space Model; 3.4 Controllability and Observability; 3.4.1 Definition of Controllability (or Reachability); 3.4.2 Rank Test for Controllability.
- 3.4.3 Definition of Observability3.4.4 Rank Test for Observability; 3.5 Concluding Remarks; References; 4 Non-Minimal State Variable Feedback; 4.1 The NMSS Form; 4.1.1 The NMSS (Regulator) Representation; 4.1.2 The Characteristic Polynomial of the NMSS Model; 4.2 Controllability of the NMSS Model; 4.3 The Unity Gain NMSS Regulator; 4.3.1 The General Unity Gain NMSS Regulator; 4.4 Constrained NMSS Control and Transformations; 4.4.1 Non-Minimal State Space Design Constrained to yield a Minimal SVF Controller; 4.5 Worked Example with Model Mismatch; 4.6 Concluding Remarks; References.
- 5 True Digital Control for Univariate Systems5.1 The NMSS Servomechanism Representation; 5.1.1 Characteristic Polynomial of the NMSS Servomechanism Model; 5.2 Proportional-Integral-Plus Control; 5.2.1 The Closed-Loop Transfer Function; 5.3 Pole Assignment for PIP Control; 5.3.1 State Space Derivation; 5.4 Optimal Design for PIP Control; 5.4.1 Linear Quadratic Weighting Matrices; 5.4.2 The LQ Closed-loop System and Solution of the Riccati Equation; 5.4.3 Recursive Solution of the Discrete-Time Matrix Riccati Equation; 5.5 Case Studies; 5.6 Concluding Remarks; References.
- 6 Control Structures and Interpretations6.1 Feedback and Forward Path PIP Control Structures; 6.1.1 Proportional-Integral-Plus Control in Forward Path Form; 6.1.2 Closed-loop TF for Forward Path PIP Control; 6.1.3 Closed-loop Behaviour and Robustness; 6.2 Incremental Forms for Practical Implementation; 6.2.1 Incremental Form for Feedback PIP Control; 6.2.2 Incremental Form for Forward Path PIP Control; 6.3 The Smith Predictor and its Relationship with PIP Design; 6.3.1 Relationship between PIP and SP-PIP Control Gains; 6.3.2 Complete Equivalence of the SP-PIP and Forward Path PIP Controllers.