| Titre : | Digital control systems |
| Auteurs : | BENSAAD ABDELLAH, Auteur |
| Type de document : | texte imprimé |
| Editeur : | univ dr.Moulay Taher Saida, 2025-2026 |
| Format : | 81 p / 29 cm |
| Accompagnement : | CD |
| Note générale : |
Chapter I: Sampled-Data Control Systems
Analog-to-Digital Conversion I.2.1 Ideal periodic sampling of continuous-time signals I.2.2 Spectrum of the sampled signal Reconstruction of the analog signal ???????? (????) from its samples Modeling the Sampler I.4.1 Modeling the Zero-Order Hold The z-transform I.5.1 z-Transform Properties Inverse z-Transform I.6.1 Long division I.6.2 Partial fraction expansion I.6.3 Method of Complex Integration Discretization Methods I.7.1 Impulse-Invariance Method or z-Transform Method I.7.2 Step-Invariance Method or z-Transform Method with Sample and Hold I.7.2.1 Transfer Function of First-Order Hold I.7.3 Backward Difference Method I.7.4 Forward Difference Method I.7.5 Bilinear or Tustin Method Chapter II: Performance analysis of sampled-data systems27 II.6Introduction Difference Equations Transfer function Open-Loop Sampled-Data Control System Closed-loop Sampled-Data Control System Stability II.6.1 Digital System Stability via the z-Plane27 II.6.2 Unit-Circle Criterion33 II.6.3 Routh Criterion Using the Bilinear Mobius Transformation33II.7 Jury Criterion Nyquist Stability Criterion Bode Stability Criterion Influence of sampling frequency on stability Choice of sampling frequency Steady-State Errors Chapter III: State Space Analysis44 III.1 49Discrete-Time State-Space Equations III.2.1 Solution of discrete-time state-space equations III.2.2 Recursive solution Eigenvalues and Eigenvectors Transfer Functions Solution in z-domain Properties of the state transition matrix State-Space Representation III.7.1 Canonical Form (First companion form or phase variable canonical form) III.7.2 Observable Canonical Form (Second companion form) III.7.3 Jordan Canonical Form (or parallel realization) III.7.4 Series realization Controllability and Observability II.8.1 Controllability II.8.2 Observability Chapter IV: Control system correction59 IV.7Introduction Role of the controller Equivalence of an association of several systems Control of continuous systems in discrete time Continuous-time discrete-time relationship in a closed loop Digital controller of a continuous-time system State feedback control IV.7.1 Pole placement via state feedback IV.7.2 Pole placement using a matrix polynomial (Ackermann’s Formula) IV.7.3 Pole placement by transformation to controllable form IV.7.4 Improvement of stability by state feedback Diophantine equation Polynomial Equations Approach to Design Regulator System59 Polynomial Equations Approach to control Systems design 77Bibliography IV.9.2Control System Configuration 180 IV.9.3Control System Configuration 2 |
| Langues: | Français |
| Catégories : | |
| Mots-clés: | Digital control ; control systems |
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