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Digital Control Book for Instrumentation Engineering Students

Pages : 184; PDF file Size 5.15 MB

1 REVIEW OF DISCRETE TIME SYSTEMS
1.1 DIGITAL CONTROL SYSTEM
1.2 MATHEMATICAL MODEL OF DISCRETE CONTROL SYSTEM
1.3 SAMPLING THEOREM
1.4 PULSE TRANSFER FUNCTION G(Z)
1.4.1 Closed loop transfer function of system
1.5 ZERO-ORDER DEVICE (ZOH) DEVICE
1.6 CONCEPT OF STABILITY IN DISCRETE CONTROL SYSTEMS
1.6.1 Methods for testing absolute stability
1.6.2 Jury Stability Test
1.6.3 Stability by Bilinear Transformation and Routh Stability Criterion
1.7 EFFECT OF SAMPLING ON STABILITY
1.8 Z TRANSFORM
1.8.1 Z transform of Elementary Functions
1.8.2 Properties of Z transform
1.8.3 Table of Z transformation
1.8.4 Z inverse
2 STATE SPACE ANALYSIS
2.1 INTRODUCTION
2.2 STATE SPACE EQUATION FOR CONTINUOUS LTI SYSTEM
2.2.1 State space equation for discrete time system
2.3 SOLUTION OF DISCRETE TIME STATE EQUATION BY Z
2.4 PULSE TRANSFER FUNCTION MATRIX
2.5 SIMILARITY TRANSFORMATIONS
2.6 DISCRETIZATION OF CONTINUOUS TIME STATE SPACE EQUATION

2.7 LIAPUNOV STABILITY ANALYSIS
2.7.1 Liapunov stability of LTI Discrete time systems:
2.7.2 Positive definite matrix
2.8 MULTIVARIABLE SYSTEMS
2.9 PULSE TRANSFER FUNCTION REALIZATION
2.9.1 Direct programming
2.9.2 Standard programming
2.10 REALIZATION OF HIGHER ORDER G(Z)
2.10.1 Series programming
2.10.2 Parallel programming
2.11 EXAMPLES ON PULSE TRANSFER FUNCTION REALIZATION
2.11.1 Direct programming method
2.11.3 Parallel programming method (Jordan canonical method)
3 DIGITAL CONTROLLER
3.1 INTRODUCTION
3.2 APPROXIMATION OF DIGITAL CONTROLLER FROM CONTINUOUS SYSTEM
3.2.1 Impulse – invariance
3.2.2 Step invariance
3.2.3 Finite difference approximation
3.2.3.1 Backward difference method
3.2.3.2 Forward difference method
3.2.4 Bilinear transformation
3.3 TRANSFER FUNCTION OF CONTINUOUS TIME PID CONTROLLER
3.4 TRANSFER FUNCTION OF A DIGITAL PID CONTROLLER
3.4.1 Transfer function by bilinear transformation
3.5 POSITION ALGORITHM OF PID CONTROLLER
3.6 Velocity Algorithm for Digital PID Controller
3.6.1 Design of digital controller
3.7 SYNTHESIS FORMULA OF CONTROLLER DESIGN
4 POLE PLACEMENT AND OBSERVER DESIGN
4.1 CONCEPT OF CONTROLLABILITY
4.2 COMPLETE OUTPUT CONTROLLABILITY
4.3 CONCEPT OF OBSERVABILITY
4.4 STATE FEEDBACK
4.5 USEFUL TRANSFORMATION IN STATE SPACE ANALYSIS
4.5.1 Controllable canonical form
4.5.2 Observable canonical form
4.5.3 Diagonal or Jordan canonical form
4.6 DESIGNS VIA POLE PLACEMENT
4.8 STATE OBSERVER
4.8.1 Introduction
4.8.2 State observer theory
4.8.3 Types of state observer
4.8.3.1 Full order state observer
4.8.3.2 Minimum order state observer
4.8.3.3 Reduced order estimator (or observer)
4.9 STATE FEEDBACK WITH INTEGRAL CONTROL
5.1.2 Dead time compensation - Smith Predictor
5.1.3 Drawbacks of smith predictor
5.2 SELF TUNNING CONTROL
5.2.1 Model predictive control (MPC)
5.2.2 Advantages of model predictive control
5.2.3 Objective of MPC controller
5.2.4 Strategy in MPC approach
5.2.5 Objective function in MPC
5.2.6 Models in MPC
5.2.7 Finite step response model
5.3 DMC (DYNAMIC MATRIX CONTROL)
5.3.1 Steps in DMC implantation
5.3.2 Selection of model length, sample time, P, M, W
5.3.3 MPC with constraints on manipulated inputs and outputs
5.3.4 MPC for multivariable system
5.3.5 Summary of MPC calculations
5.3.6 Steps in implementing MPC
5.4 INTERNAL MODEL CONTROL (IMC)
5.4.1 Design and implementation of internal model controller
6 SYSTEM IDENTIFICATION AND OPTIMAL CONTROL
6.1 OPTIMAL CONTROL
6.2 STATE REGULATOR DESIGN THROUGH LYPUNOV EQUATION
6.3 OPTIMAL STATE REGULATOR THROUGH THE MATRIX RICCATI EQUATION