Unit1
Unit 1: Introduction to digital control
Introduction, Discrete time system representation, Mathematical modelling of sampling process, Data reconstruction, Modern system representations: Lifted state-space models
Pre-requisites: Control System
Syllabus
5 unitsUnit2
Unit 2: Modelling discrete-time systems by pulse transfer function
Revisiting Z-transform, Mapping of s-plane to z-plane, Pulse transfer function, Pulse transfer function of closed loop system, Sampled signal flow graph, System identification techniques for discrete-time models
Unit3
Unit 3: Stability analysis of discrete time systems
Jury stability test, Stability analysis using bi-linear transformation. Time response of discrete systems: Transient and steady state responses, Time response parameters of a prototype second order system, Frequency response analysis for discrete-time systems.
Unit4
Unit 4: Design of sampled data control systems
Root locus method, Controller design using root locus, Root locus-based controller design using MATLAB, Nyquist stability criteria, bode plot, Lead compensator design using Bode plot, Lag compensator design using Bode plot, Lag-lead compensator design in frequency domain, Introduction to Robust control techniques for discrete-time systems
Unit5
Unit 5: Discrete state space model
Introduction to state variable model, Various canonical forms, Characteristic equation, state transition matrix, Solution to discrete state equation. Controllability, observability and stability of discrete state space models: Controllability and observability, Stability, Lyapunov stability theorem.
Course Outcomes (COs)
After completion of the course student will be able to:
- CO1Represent discrete time systems under the form of z-domain transfer functions and state-space models.K3
- CO2Obtain the model of discrete-time systems by pulse transfer function.K4
- CO3Analyze stability, transient response and steady state behaviour of linear discrete-time systems, analytically and numerically using tools such as MATLAB and SimulinkK4
- CO4Design sampled data control systems.K5
- CO5Describe Discrete state space model and test controllability and observability of systems. KL- Bloom’s Knowledge Level (K1, K2, K3, K4, K5, K6) K1 – Remember K2 – Understand K3 – Apply K4 – Analyze K5 – Evaluate K6 – CreateK5
References
- B. C.Kuo, Digital Control Systems, Oxford University Press, 2nd Edition, 2007.
- K. Ogata, Discrete Time Control Systems, Prentice Hall, 2nd Edition, 1995.
- M. Gopal, Digital Control and State Variable Methods, Mcgraw Hill, 2/e, 2003.
- G. F. Franklin, J. D.Powell and M. L. Workman, Digital Control of Dynamic Systems, Addison Wesley, 1998, Pearson Education,Asia, 3rd Edition, 2000.
- K. J.Astroms and B. Wittenmark, Computer Controlled Systems - Theory and Design, Prentice Hall, 3rd Edition, 1997.
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