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Savitribai Phule Pune University, Maharashtra (SPPU), Electrical Engineering Semester 7, Control System II Syllabus
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Unit - 1 Digital Control System
UNIT 1
Digital Control System
1.1 Introduction Configuration of the basic digital control system
1.2 Advantages and limitations of digital control
1.3 Data conversion and quantization
1.4 Sampling and Reconstruction processes
1.5 Shannon’s Sampling theorem
1.6 Practical aspects of choice of sampling rate
1.7 ZOH and it’s transfer function
1.8 Basic concepts and transfer function of first order hold.
Unit - 2 Z-transform and Pulse-transfer-function
UNIT 2
Ztransform and Pulsetransferfunction
2.1 Review of ztransform
2.2 Inverse ztransform
2.3 difference equations and solution using z transform method
2.4 Pulse transfer function and Ztransfer function
2.5 General procedure for obtaining Pulsetransferfunction
2.6 Pulse transfer function of ZOH
Unit - 3 Stability Analysis
UNIT 3
Stability Analysis
3.1 Sampled data closed loop systems
3.2 Characteristic equation
3.3 Causality and physical realizability of discrete data system
3.4 Realization of digital controller by digital programming
3.5 Direct digital programming cascade digital programming parallel digital programming
3.6 Mapping between Splane and Zplane
3.7 Stability analysis of closed loop system in zplane using i Jury’s test ii Bilinear Transformation
3.5r32.5r20.5r2.50
Unit - 4 Introduction to state space analysis
UNIT 4
Introduction to State Space Analysis
4.1 Important definitions – state state variable state vector state space state equation output equation
4.2 State space representation for electrical and mechanical system
4.3 nth order differential equation and transfer function
4.4 Conversion of transfer function to state model and vice versa
4.5 State model of armature control DC motor
Unit - 5 Solution of state equations
UNIT 5
Solution of State Equations
5.1 Concept of diagonalization eigen values eigenvectors
5.2 Diagonalization of system matrices with distinct and repeated eigen values
5.3 Vander Monde matrix
5.4 Solution of homogeneous and nonhomogeneous state equation in standard form
5.5 Transition matrix its properties
5.6 Evaluation of STM using Laplace transform method
5.7 Infinite series method Cayley Hamilton theorem
Unit - 6 Design of Control System Using State Space Technique
UNIT 6
Design of Control System Using State Space Technique
6.1 Concept of controllability and observability
6.2 Controllability and observability Tests
6.3 Condition for controllability and observability from the system matrices in Canonical form
6.4 Jordan canonical form
6.5 Effect of pole zero cancellation on the controllability and observability of the system
6.6 Duality property
6.7 Pole placement design by state variable feedback
6.8 Necessity of an observer
6.9 Design of full order observer
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