| Description |
1 online resource (357 pages) |
| Contents |
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 |
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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 |
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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 |
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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 |
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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 |
| Summary |
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 modern control system synthesis, this book is supported by detailed practical examples based on the authors' research into environmental, mechatronic and robotic systems. Treatment of both statistical modelling and control design under one cover is unusual and highlights the important |
| Notes |
6.4 Stochastic Optimal PIP Design |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Digital control systems.
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Quality control.
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quality control.
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Digital control systems
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Quality control
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| Form |
Electronic book
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| Author |
Young, Peter C
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Chotai, Arun
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| LC no. |
2013004574 |
| ISBN |
9781118535509 |
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1118535502 |
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9781118521212 |
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1118521218 |
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