Fundamentals of signals and control systems:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
London
ISTE
2017
|
| Schriftenreihe: | Digital signal and image processing series
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029409454&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029409454&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | xx, 261 Seiten Diagramme |
| ISBN: | 9781786300980 1786300982 |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Preface...................................................................... ix
Chapter 1. Introduction, Generalities, Definitions of Systems .... l
1.1. Introduction ........................................................ 1
1.2. Signals and communication systems.................................... 2
1.3. Signals and systems representation .................................. 5
1.3.1. Signal........................................................... 5
1.3.2. Functional space L2.............................................. 6
1.3.3. Dirac distribution............................................. 8
1.4. Convolution and composition products - notions of filtering...... 10
1.4.1. Convolution or composition product.............................. 10
1.4.2. System.......................................................... 11
1.5. Transmission systems and filters.................................... 12
1.5.1. Convolution and filtering....................................... 13
1.6. Deterministic signals ֊ random signals - analog signals ......... 15
1.6.1. Definitions..................................................... 15
1.6.2. Some deterministic analog signals............................... 16
1.6.3. Representation and modeling of signals and systems........... 20
1.6.4. Phase-plane representation...................................... 23
1.6.5. Dynamic system.................................................. 26
1.7. Comprehension and application exercises............................. 28
Chapter 2. Transforms: Time - Frequency - Scale .......................... 31
2.1. Fourier series applied to periodic functions........................ 31
2.1.1. Fourier series.................................................. 31
2.1.2. Spectral representation (frequency domain) ..................... 33
2.1.3. Properties of Fourier series.................................... 34
2.1.4. Some examples .................................................. 35
vi Fundamentals of Signals and Control Systems
2.2. FT applied to non-periodic functions............................... 36
2.3. Necessary conditions for the Fourier integral...................... 38
2.3.1. Definition........................................................ 38
2.3.2. Necessary condition............................................... 38
2.4. FT properties....................................................... 39
2.4.1. Properties........................................................ 39
2.4.2. Properties of the FT.............................................. 39
2.4.3. Plancherel theorem and convolution product........................ 40
2.5. Fourier series and FT.............................................. 41
2.6. Elementary signals and their transforms............................ 43
2.7. Laplace transform..................................................... 46
2.7.1. Definition........................................................ 46
2.7.2. Properties........................................................ 49
2.7.3. Examples of the use of the unilateral LT....................... 50
2.7.4. Transfer function ................................................ 52
2.8. FT and LT ............................................................ 53
2.9. Application exercises................................................. 54
Chapter 3. Spectral Study of Signals ....................................... 59
3.1. Power and signals energy........................................... 59
3.1.1. Power and energy of random signals............................. 59
3.2. Autocorrelation and intercorrelation.................................. 61
3.2.1. Autocorrelation and cross-correlation in the time domain....... 61
3.2.2. A few examples of applications in steady state................. 64
3.2.3. Powers in variable state.......................................... 65
3.3. Mathematical application of the correlation and
autocorrelation functions.................................................. 66
3.3.1. Duration of a signal and its spectrum width....................... 68
3.3.2. Finite or zero average power signals.............................. 72
3.3.3. Application for linear filtering.................................. 74
3.4. A few application exercises........................................ 75
Chapter 4. Representation of Discrete (Sampled) Systems..................... 81
4.1. Shannon and sampling, discretization methods, interpolation, sample
and hold circuits ...................................................... . 81
4.1.1. Sampling and interpolation........................................ 81
4.2. Z-transform - representation of discrete (sampled) systems............ 89
4.2.1. Definition - convergence and residue.............................. 89
4.2.2. Inverse Z-transform............................................... 91
4.2.3. Properties of the Fourier transform .............................. 96
4.2.4. Representation and modeling of signals and discrete systems ... 99
4.2.5. Transfer function in Z and representation in the
frequency domain......................................................... 102
Contents vii
4.2.6. Z-domain transform, Fourier transform and Laplace transform . . . 104
4.3. A few application exercises........................................ 105
Chapter 5. Representation of Signals and Systems............................ 123
5.1. Introduction to modeling........................................... 123
5.1.1. Signal representation using polynomial equations............... 127
5.1.2. Representation of signals and systems by differential equations . . 127
5.2. Representation using system state equations........................ 128
5.2.1. State variables and state representation definition............ 128
5.2.2. State—space representation for discrete linear systems......... 134
5.3. Transfer functions..................................................... 135
5.3.1. Transfer function: external representation .................... 135
5.3.2. Transfer function and state-space representation shift......... 135
5.3.3. Properties of transfer functions............................... 138
5.3.4. Associations of functional diagrams . . ....................... 142
5.4. Change in representation and canonical forms....................... 142
5.4.1. Controllable canonical form........................................ 143
5.4.2. Controllable canonical form........................................ 145
5.4.3. Observability canonical form....................................... 145
5.4.4. Observable canonical form.......................................... 146
5.4.5. Diagonal canonical form.......................................... 149
5.4.6. Change in state-space representations and change in basis.......... 150
5.4.7. Examples of systems to be modeled: the inverse pendulum............ 152
5.4.8. System phase-plane representation.................................. 155
5.5. Some application exercises............................................. 160
Chapter 6. Dynamic Responses and System Performance......................... 173
6.1. Introduction to linear time-invariant systems...................... 173
6.2. Transition matrix of an LTI system ................................ 173
6.2.1. Transition matrix ................................................. 173
6.3. Evolution equation of an LTI system ............................... 174
6.3.1. State evolution equation........................................... 174
6.3.2. Transition matrix computation...................................... 176
6.4. Time response to the excitation of continuous linear systems....... 177
6.4.1. System response.................................................... 177
6.4.2. Solution the state equation........................................ 178
6.4.3. Role of eigenvalues of the evolution matrix A within the system
dynamics.................................................................. 181
6.5. Sampling and discretization of continuous systems...................... 182
6.5.1. Choice of the sampling period (Shannon) and integration methods 182
6.5.2. Euler’s method..................................................... 182
6.5.3. Order n Runge-Kutta method......................................... 183
6.5.4. Method using the state transition matrix with zeroth-order holder . 184
viii Fundamentals of Signals and Control Systems
6.5.5. Evolution equation for a time-invariant discrete system (DTI) ... 185
6.6. Some temporal responses............................................... 186
6.6.1. Response to an impulse excitation............................... 187
6.6.2. Response to step excitation..................................... 187
6.7. Transfer function frequency responses .............................. 193
6.7.1. Bode plot......................................................... 193
6.7.2. Nyquist plot...................................................... 195
6.7.3. Black-Nichols plot................................................ 197
6.8. Parametric identification ............................................ 198
6.8.1. Identification by analogy......................................... 199
6.8.2. Parameters identification: examples of systems.................. 201
6.8.3. Strejc method (minimal dephasing)............................... 203
6.9. Dynamics of linear systems...................................... 204
6.9.1. Link between frequency domain and time domain................... 204
6.10. System performance and accuracy................................... 205
6.10.1. Damping factor of a system....................................... 205
6.10.2. System speed and transient....................................... 205
6.10.3. System static error, speed, sensitivity to noise and accuracy .... 205
6.10.4. Conclusion....................................................... 208
6.11. Some application exercises.......................................... 208
Chapter 7. System Stability and Robustness Analysis Methods . . 227
7.1. Introduction ......................................................... 227
7.2. Definitions related with the stability of a dynamic system.......... 228
7.2.1. Equilibrium state of a system..................................... 229
7.2.2. Stable system: bounded input bounded output..................... 229
7.3. Stability criteria.................................................... 230
7.3.1. Routh criterion and stability algebraic criterion............... 230
7.3.2. Jury criterion and discrete system example........................ 235
7.4. Some application exercises............................................ 242
7.4.1. Exercises: circle criterion, causes of instability and practical cases 242
Bibliography .................................................................. 257
Index
263
The purpose of this book is the study of signals and
deterministic, linear, time-invariant, finite and causal
dimension systems. A set of practical tools is presented for
automatic and signal processing. Methods of representation
of dynamic linear systems and the analysis of their behavior
are put forward. The identification and synthesis of control
laws for stabilization and regulation is then discussed.
The study of characteristic signal properties and systems,
and knowledge of mathematical tools and treatment
methods and analysis are of increasing importance, and
continue to evolve. The reason for this is that the current
state of technology, in particular electronics and computing,
enables the production of increasingly advanced and
effective processing systems which are becoming less and
less expensive, despite their complexity.
Smain Femmam received his MSc and PhD in Signal
Processing and Computers from Versailles University in
France. He is currently Senior Director of Research at the
University of Haute-Alsace and is on the editorial board of
several journals. His research interests include signal
processing for wireless communication-computers,
estimation theory, adaptive filtering, array processing,
distributed and embedding systems, complex theory and
robotics.
www.iste.co.uk
Wiley
I
9«781786»30098l
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| isbn | 9781786300980 1786300982 |
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| spellingShingle | Femmam, Smain Fundamentals of signals and control systems Regelungssystem (DE-588)4134712-2 gnd Systementwurf (DE-588)4261480-6 gnd Signal (DE-588)4054936-7 gnd |
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| title | Fundamentals of signals and control systems |
| title_auth | Fundamentals of signals and control systems |
| title_exact_search | Fundamentals of signals and control systems |
| title_full | Fundamentals of signals and control systems Smain Femmam |
| title_fullStr | Fundamentals of signals and control systems Smain Femmam |
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| title_short | Fundamentals of signals and control systems |
| title_sort | fundamentals of signals and control systems |
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