Control System Analysis and Identification with MATLAB®
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Control System Analysis and Identification with MATLAB®: Block Pulse and Related Orthogonal Functions

Control System Analysis and Identification with MATLAB®: Block Pulse and Related Orthogonal Functions


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About the Book

This book covers block pulse and related functions for the analysis and identification of continuous and discrete-time systems. It covers `functions related to block pulse functions’ and pulse-width modulated generalized block pulse functions including their applications including MATLAB based examples.

Table of Contents:
1: Block Pulse and Related Basis Functions 1.1 Block Pulse and Related Basis Functions 1.2 Orthogonal Functions and their Properties 1.3 Block Pulse Functions in Systems and Control References Study Problems 2: Function Approximation via Block Pulse and Related Functions 2.1 Block Pulse Functions: Properties 2.2 Function Approximation 2.3 Error Analysis for Function Approximation in BPF Domain 2.4 Conclusion References Study Problems 3: Block Pulse Domain Operational Matrices for Integration and Differentiation 3.1 Operational Matrix for Integration 3.2 Operational Matrices for Integration in Generalised Block Pulse Function Domain 3.3 Improvement of the Integration Operational Matrix of First Order 3.4 One-Shot Operational Matrices for Repeated Integration 3.5 Operational Matrix for Differentiation 3.6 Operational Matrices for Differentiation in Generalised Block Pulse Function Domain 3.7 One-Shot Operational Matrices for Repeated Differentiation 3.8 Conclusion References Study Problems 4: Operational Transfer Functions for System Analysis 4.1 Walsh Operational Transfer Function (WOTF) 4.2 Block Pulse Operational Transfer Function (BPOTF) for System Analysis 4.3 Oscillatory Phenomenon in Block Pulse Domain Analysis of First Order Systems 4.4 Nature of Expansion of the BPOTF of a First Order Plant 110 4.5 Modified BPOTF (MBPOTF) using All-Integrator Approach for System Analysis 4.6 Error due to MBPOTF Approach 4.7 Conclusion References Study Problems 5: System Analysis and Identification using Convolution and `Deconvolution’ in BPF Domain 5.1 The Convolution Process in BPF Domain 5.2 Identification of an Open Loop System via `Deconvolution’ 5.3 Numerical Instability of the `Deconvolution’ Operation: Its Mathematical Basis 5.4 Identification of a Closed Loop System 5.5 Conclusion References Study Problems 6: Delayed Unit Step Functions (DUSF) for System Analysis and Fundamental Nature of the Block Pulse Function (BPF) Set 6.1 The Set of DUSF and the Operational Matrix for Integration 6.2 Block Pulse Function versus Delayed Unit Step Function: A Comparative Study 6.3 Stretch Matrix in DUSF Domain 6.4 Solution of a Functional Differential Equation using DUSF 6.5 Conclusion References Study Problems 7: Sample-and-Hold Functions (SHF) for System Analysis 7.1 Brief Review of Sample-and-Hold Functions (SHF) 7.2 Analysis of Control Systems with Sample-and-Hold using the Operational Transfer Function Approach 7.3 Operational Matrix for Integration in SHF Domain 7.4 One-Shot Operational Matrices for Repeated Integration 7.5 System Analysis using One-Shot Operational Matrices and Operational Transfer Function 7.6 Error Analysis: A Comparison between SHF and BPF 7.7 Conclusion References Study Problems 8: Discrete Time System Analysis using a Set of Delta Functions (DF) 8.1 A Set of Mutually Disjoint Delta Functions 8.2 Delta Function Domain Operational Matrices for Integration 8.3 One-Shot Operational Matrices for Repeated Integration 8.4 Analysis of Discrete SISO Systems using One-Shot Operational Matrices and Delta Operational Transfer Function 8.5 Conclusion References Study Problems 9: Non-Optimal Block Pulse Functions (NOBPF) for System Analysis and Identification 9.1 Basic Properties of Non-Optimal Block Pulse Functions 9.2 From `Optimal’ Coefficients to `Non-Optimal’ Coefficients 9.3 Function Approximation using Non-Optimal Block Pulse Functions (NOBPF) 9.4 Operational Matrices for Integration 9.5 Process of Convolution and `Deconvolution’ 9.6 Analysis of an Open Loop System via Convolution 9.7 Identification of an Open Loop System via `Deconvolution’ 9.8 Identification of a Closed Loop System via `Deconvolution’ 9.9 Error Analysis 9.10 Conclusion References Study Problems 10: System Analysis and Identification using Linearly Pulse-Width Modulated Generalised Block Pulse Functions (LPWM-GBPF) 10.1 Conversion of a GBPF set to a Linearly Pulse-Width Modulated GBPF (LPWM-GBPF) Set 10.2 Representation of Time Functions via LPWM-GBPF set 10.3 Convolution Process in LPWM Block Pulse Function Domain 10.4 Linear Feedback System Identification using Generalised Convolution Matrix 10.5 Error Analysis 10.6 Conclusion References Study Problems Appendices Appendix A: Introduction to Linear Algebra Appendix B: Selected MATLAB Programs Index

About the Author :
Anish Deb (b.1951) did his B. Tech. (1974), M. Tech. (1976) and Ph.D. (Tech.) degree (1990) from the Department of Applied Physics, University of Calcutta. He started his career as a design engineer (1978) in industry and joined the Department of Applied Physics, University of Calcutta as Lecturer in 1983. In 1990, he became Reader and later became a Professor (1998) in the same Department. He has retired from the University of Calcutta in November 2016 and presently is a Professor in the Department of Electrical Engineering, Budge Budge Institute of Technology, Kolkata. His research interest includes automatic control in general and application of `alternative’ orthogonal functions like Walsh functions, block pulse functions, triangular functions etc., in systems and control. He has published more than seventy (70) research papers in different national and international journals and conferences. He is the principal author of the books `Triangular orthogonal functions for the analysis of continuous time systems’ published by Elsevier (India) in 2007 and Anthem Press (UK) in 2011, `Power Electronic Systems: Walsh Analysis with MATLAB’ published by CRC Press (USA) in 2014 and `Analysis and Identification of Time-Invariant Systems, Time-Varying Systems and Multi-Delay Systems using Orthogonal Hybrid Functions: Theory and Algorithms with MATLAB’ published by Springer (Switzerland) in 2016. Srimanti Roy Choudhury (b.1984) did her B. Tech. (2006) from Jalpaiguri Government Engineering College, under West Bengal University of Technology and M. Tech. (2010) from the Department of Applied Physics, University of Calcutta. During 2006 to 2007, she worked in the Department of Electrical Engineering of Jalpaiguri Government Engineering College as a part-time Faculty. She also acted as a visiting Faculty during 2012-2013 in the Department of Polymer Science & Technology and in 2015-2016 the Department of Applied Physics, University of Calcutta. Presently she is an Assistant Professor (from 2010) in the Department of Electrical Engineering, Budge Budge Institute of Technology, Kolkata. Her research area includes control theory in general and application of `alternative’ orthogonal functions like Walsh functions, block pulse functions, triangular functions etc., in different areas of systems and control. She has been pursuing her Ph. D. in the Department of Applied Physics, University of Calcutta and is about to submit her Doctoral thesis in a couple of months. She has published eight (8) research papers in different national and international journals and conferences. She is the second author of the book `Analysis and Identification of Time-Invariant Systems, Time-Varying Systems and Multi-Delay Systems using Orthogonal Hybrid Functions: Theory and Algorithms with MATLAB’ published by Springer (Switzerland) in 2016.


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Product Details
  • ISBN-13: 9780203731291
  • Publisher: Taylor & Francis Inc
  • Publisher Imprint: CRC Press Inc
  • Language: English
  • No of Pages: 364
  • ISBN-10: 0203731298
  • Publisher Date: 15 Aug 2018
  • Binding: Digital (delivered electronically)
  • No of Pages: 386
  • Sub Title: Block Pulse and Related Orthogonal Functions


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