InhaltsangabeContents. 1 Introduction. 2 Modelling of Sampled Data Systems. 2.1 Sampled Data System. 2.2 Models of Continuous Time Systems. 2.3 Discretization of Continuous Time Systems. 2.4 Naturally Occurring Discrete Time Systems. 2.5 Establishing Connections. 2.6 Matlab Code. 2.7 Problems. I Digital Signal Processing. 3 LinearSystem. 3.1 Basic Concepts. 3.2 Basic Discrete Time Signals. 3.3 InputOutput Convolution Models. viii 0. Contents. 3.4 State SpaceModels, Revisited. 3.5 Matlab Code. 3.6 Problems. 4 ZTransform 63 4.1 Motivation and Definition of Z-transform. 4.2 ZTransformTheorems and Examples. 4.3 Transfer Function. 4.4 Inverse of Z-transform. 4.5 Matlab Code. 4.6 Problems. 5 Frequency Domain Analysis. 5.1 Basics. 5.2 Fourier Series and Fourier Transforms. Contents ix 5.3 Sampling and Reconstruction. 5.4 Filtering. 5.5 Discrete Fourier Transform. 5.6 Matlab Code. 5.7 Problems. II Identification 161. 6 Identification 163. 6.1 Introduction. 6.2 Least Squares Estimation. 6.3 Covariance. 6.4 ARMA Processes. 6.5 Prediction ErrorModels. Input, Model. 6.6 Revisiting Least Squares Estimation. 6.7 Frequency Domain Interpretation. x 0. Contents 6.8 Matlab Code. 6.9 Problems. III Transfer Function Approach to Controller Design. 7 Structures and Specifications. 7.1 Control Structures. 7.2 Proportional Control. 7.3 Other Popular Controllers. 7.4 Internal Stability and Realizability. 7.5 InternalModel Principle and System Type. 7.6 Introduction to Limits of Performance. 7.7 Well behaved signals. 7.8 Solving Aryabhatta's Identity. 7.9 Matlab Code. 7.10 Problems. 8 Proportional, Integral, Derivative Controllers. 8.1 Sampling Revisited. 8.2 Discretization Techniques. 8.3 Discretization of PID Controllers. Contents xi. 8.4 Matlab Code. 8.5 Problems. 9 Pole Placement Controllers. 9.1 DeadBeat and Dahlin Control. 9.2 Pole Placement Controller with Performance Specifications. 9.3 Implementation of Unstable Controllers. 9.4 Internal Model Principle for Robustness. 9.5 Redefining Good and Bad Polynomials. 9.6 Comparing 1-DOF and 2-DOF controllers. 9.7 Anti Windup Compensator. 9.8 PID Tuning through Pole Placement. 9.9 Matlab Code. 9.10 Problems. 10 Special Cases of Pole Placement Control. 10.1 Smith Predictor. 10.2 InternalModel Control. 10.3 Matlab Code. 10.4 Problems. 11 Minimum Variance Control 405 11.1 jStep Ahead Prediction ErrorModel. 11.2 Minimum Variance Controller. 11.3 Generalized Minimum Variance Controller. 11.4 Matlab Code. 11.5 Problems. xii 0. Contents. 12 Model Predictive Control 439 12.1 Generalized Predictive Control. 12.2 ?GPC. 12.3 DynamicMatrix Control. 12.4 Matlab Code. 12.5 Problems. 13 Linear Quadratic Gaussian Control. 13.1 Spectral Factorization. 13.2 Controller Design. 13.3 Simplified LQG Control Design. 13.4 Introduction to Performance Analysis of Controllers. 13.5 Matlab Code. 13.6 Problems. IV State Space Approach to Controller Design. 14 State Space Techniques to Controller Design. 14.1 Pole placement. 14.2 Estimators. 14.3 Regulator Design - Combined Control Law and Estimator. 14.4 Linear Quadratic Regulator. 14.5 Kalman Filter. 14.6 Matlab Code. 14.7 Problems. A Supplementary Material. A.1 Mathematical Relations. A.2 Installation and Use of Software. A.3 SimulinkCode for Verification. A.4 Problems.