Triangular orthogonal functions for the analysis of continuous time systems /
Deba, Anīśa,
Triangular orthogonal functions for the analysis of continuous time systems / Anish Deb, Gautam Sarkar, Anindita Sengupta. - London : Anthem Press, 2011. - 1 online resource (xii, 156 pages) : digital, PDF file(s).
Title from publisher's bibliographic system (viewed on 02 Oct 2015).
Walsh, Block Pulse, and Related Orthogonal Functions in Systems and Control -- Orthogonal Functions and their Properties -- Different Types of Nonsinusoidal Orthogonal Functions -- Walsh Functions in Systems and Control -- Block Pulse Functions in Systems and Control -- Conclusion -- References -- A Newly Proposed Triangular Function Set and Its Properties -- Walsh Functions and Related Operational Matrix for Integration -- BPFs and Related Operational Matrices -- Sample-and-Hold Functions [9] -- From BPF to a Newly Defined Complementary Set of Triangular Functions -- Piecewise Linear Approximation of a Square Integrable Function f(t) -- Orthogonality of Triangular Basis Functions -- A Few Properties of Orthogonal TF -- Function Approximation via Optimal Triangular Function Coefficients -- Conclusion -- References -- Function Approximation via Triangular Function Sets and Operational Matrices in Triangular Function Domain -- Approximation of a Square Integrable Time Function f(t) by BPF and TF -- Operational Matrices for Integration in Triangular Function Domain -- Error Analysis -- Comparison of Error for Optimal and Nonoptimal Representation via Block Pulse as well as Triangular Functions -- Conclusion -- References -- Analysis of Dynamic Systems via State Space Approach -- Analysis of Dynamic Systems via Triangular Functions -- Numerical Experiment [2] -- Conclusion -- References -- Convolution Process in Triangular Function Domain and Its Use in SISO Control System Analysis -- Convolution Integral -- Convolution in Triangular Function Domain [3] -- Convolution of Two Time Functions in TF Domain -- Numerical Experiment -- Integral Squared Error (ISE) in TF Domain and Its Comparison with BPF Domain Solution -- Conclusion -- References -- Identification of SISO Control Systems via State Space Approach -- System Identification via State Space Approach -- Numerical Example [6] -- Conclusion -- References -- Solution of Integral Equations via Triangular Functions -- Solution of Integral Equations via Triangular Functions -- Conclusion -- References -- Microprocessor Based Simulation of Control Systems Using Orthogonal Functions -- Review of Delta Function and Sample-and-Hold Function Operational Technique -- Microprocessor Based Simulation of Linear Single-Input Single-Output (SISO) Sampled-Data Systems [7] -- Conclusion -- References. Ch. 1 1.1. 1.2. 1.3. 1.4. 1.5. ch. 2 2.1. 2.2. 2.3. 2.4. 2.5. 2.6. 2.7. 2.8. 2.9. ch. 3 3.1. 3.2. 3.3. 3.4. 3.5. ch. 4 4.1. 4.2. 4.3. ch. 5 5.1. 5.2. 5.3. 5.4. 5.5. 5.6. ch. 6 6.1. 6.2. 6.3. ch. 7 7.1. 7.2. ch. 8 8.1. 8.2. 8.3.
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.
9781843318118 (ebook)
Functions, Orthogonal.
QA404.5 / .D43 2011
515.55
Triangular orthogonal functions for the analysis of continuous time systems / Anish Deb, Gautam Sarkar, Anindita Sengupta. - London : Anthem Press, 2011. - 1 online resource (xii, 156 pages) : digital, PDF file(s).
Title from publisher's bibliographic system (viewed on 02 Oct 2015).
Walsh, Block Pulse, and Related Orthogonal Functions in Systems and Control -- Orthogonal Functions and their Properties -- Different Types of Nonsinusoidal Orthogonal Functions -- Walsh Functions in Systems and Control -- Block Pulse Functions in Systems and Control -- Conclusion -- References -- A Newly Proposed Triangular Function Set and Its Properties -- Walsh Functions and Related Operational Matrix for Integration -- BPFs and Related Operational Matrices -- Sample-and-Hold Functions [9] -- From BPF to a Newly Defined Complementary Set of Triangular Functions -- Piecewise Linear Approximation of a Square Integrable Function f(t) -- Orthogonality of Triangular Basis Functions -- A Few Properties of Orthogonal TF -- Function Approximation via Optimal Triangular Function Coefficients -- Conclusion -- References -- Function Approximation via Triangular Function Sets and Operational Matrices in Triangular Function Domain -- Approximation of a Square Integrable Time Function f(t) by BPF and TF -- Operational Matrices for Integration in Triangular Function Domain -- Error Analysis -- Comparison of Error for Optimal and Nonoptimal Representation via Block Pulse as well as Triangular Functions -- Conclusion -- References -- Analysis of Dynamic Systems via State Space Approach -- Analysis of Dynamic Systems via Triangular Functions -- Numerical Experiment [2] -- Conclusion -- References -- Convolution Process in Triangular Function Domain and Its Use in SISO Control System Analysis -- Convolution Integral -- Convolution in Triangular Function Domain [3] -- Convolution of Two Time Functions in TF Domain -- Numerical Experiment -- Integral Squared Error (ISE) in TF Domain and Its Comparison with BPF Domain Solution -- Conclusion -- References -- Identification of SISO Control Systems via State Space Approach -- System Identification via State Space Approach -- Numerical Example [6] -- Conclusion -- References -- Solution of Integral Equations via Triangular Functions -- Solution of Integral Equations via Triangular Functions -- Conclusion -- References -- Microprocessor Based Simulation of Control Systems Using Orthogonal Functions -- Review of Delta Function and Sample-and-Hold Function Operational Technique -- Microprocessor Based Simulation of Linear Single-Input Single-Output (SISO) Sampled-Data Systems [7] -- Conclusion -- References. Ch. 1 1.1. 1.2. 1.3. 1.4. 1.5. ch. 2 2.1. 2.2. 2.3. 2.4. 2.5. 2.6. 2.7. 2.8. 2.9. ch. 3 3.1. 3.2. 3.3. 3.4. 3.5. ch. 4 4.1. 4.2. 4.3. ch. 5 5.1. 5.2. 5.3. 5.4. 5.5. 5.6. ch. 6 6.1. 6.2. 6.3. ch. 7 7.1. 7.2. ch. 8 8.1. 8.2. 8.3.
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.
9781843318118 (ebook)
Functions, Orthogonal.
QA404.5 / .D43 2011
515.55