Triangular Orthogonal Functions for the Analysis of Continuous Time Systems

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Anthem Press, 2011 - Science - 156 pages
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Triangular Orthogonal Functions for the Analysis of Continuous Time Systems is a source of new knowledge to researchers and academics in the area of mathematics as well as systems and control. This book deals with a new set of triangular orthogonal functions, which evolved from the set of well known block pulse functions (BPF), a major member of the piecewise constant orthogonal function (PCOF) family. Unlike PCOF, providing staircase solutions, this new set of triangular functions provides piecewise linear solutions with less mean integral squared error (MISE).

After introducing the rich background of the PCOF family, which includes Walsh, block pulse and other related functions, fundamentals of the newly proposed set -- such as basic properties, function approximation, integral operational metrics, etc. -- are presented. This set has been used for integration of functions, analysis and synthesis of dynamic systems and solution of integral equations. The study ends with microprocessor based simulation of SISO control systems using sample-and-hold functions and Dirac delta functions.
 

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Contents

A Newly Proposed Triangular
27
Function Approximation
59
Analysis of Dynamic Systems
73
13
76
Identification of SISO Control
101
27
110
Solution of Integral Equations
111
35
126
Microprocessor Based Simulation
137
53
143
Index
153
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About the author (2011)

Anish Deb completed his BTech. (1974), MTech. (1976) and PhD (Tech) (1990) degrees 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 in the same Department. Presently he is a professor (1998). His research interests include automatic control in general and the application of ‘alternative’ orthogonal functions in systems and control.

Gautam Sarkar completed his BTech. 91975), MTech. (1977) and PhD (Tech) (1991) degrees from the Department of Applied Physics, University of Calcutta. He started his career as a Research Assistant and became a lecturer (1985) and subsequently Reader (1998) in the same Department. Presently he is in the chair of Labanyamoyee Das Professor, which he holds since 2002. His area of research includes automatic control, fuzzy systems, microprocessor based control of electric motors, power electronics and application of piecewise constant basis functions in systems and control.

Anindita Sengupta completed her BTech. (1993), MTech. (1995) and PhD (Tech) (2006) degrees from the Department of Applied Physics, University of Calcutta. After gaining industrial experience, she started her teaching career as Lecturer (1997) at North Calcutta Polytechnic. She then joined (2002) the Department of Electrical Engineering, Bengal Engineering and Science University as lecturer and presently is a senior lecturer. Currently she is engaged in research in the field of control engineering, process control and microprocessor based systems. She has published research papers in national and international journals.

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