Avtomatik boshqarish va rostlash nazariyasi asoslari



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Avtomatik boshqarish va rostlash nazariyasi asoslari (X.Karimov, M.Bobojanov)

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CONTENT
Introduction.................................................................... 3
Chapter 1 
The principles of automatic control and classification
of automatic control systems....................................... 6
1.1. 
Basic concepts, terminology and characteristics of
automatic control systems (ACS).................................. 6
1.2. 
The principles of automatic control........................... 11
1.2.1. 
Principles of construction of ACS............................ 11
1.2.2. 
Open systems............................................................ 13
1.2.3. 
Theprincipleofcompensationfordisturbingaction... 14
1.2.4. 
The principle of deviation (closed systems)............. 16
1.2.5. 
Combined control systems............................................. 17
1.2.6. 
The functional and structural schemes...................... 18
1.3. 
The classification of ACS.......................................... 19
1.3.1. 
Univariate and multivariate systems......................... 19
1.3.2. 
Stationary and non-stationary systems.................... 20
1.3.3. 
A system o f continuously and discrete action.......... 20
1.3.4. 
Adaptive and non-adaptive systems......................... 21
1.3.5. 
Linear and nonlinear systems..................................... 21
1.4. 
Static and astatic A C S ............................................... 21
Chapter2 
Making differential equations of objects automatic
control and determination of transfer fimctions.......... 28
2.1. 
The linearization o f units of automatic control systems 28
2.2. 
The differential equation of a direct current generator.. 30
2.3. 
The differential equation of the direct current m otor... 32
2.4. 
The equation systems o f automatic control 
35
2.5. 
The Laplace transformation............................... 
 
 
37
2.6. 
The transfer function..................................................... 39
Chapter3 
The frequency and time characteristics of automatic
control systems............................................................... 41
3.1. 
Simple im pacts.............................................................. 41
3.2. 
The frequency characteristics oflinear u n it................. 42
3.3. 
Transition characteristics ofthe unit............................. 45
3.4. 
The weight function....................................................... 45
3.5. 
Determination of the unit stability using the weight
function........................................................................... 46
3.6. 
The properties ofminimum-phase units........................ 48
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Chapter 4 
Typical units o f automatic control systems and their
connection with each o th er........................................... 50
4.1. 
Simpleunits..................................................................... 50
4.1.1. 
Proportional u n it............................................................ 50
4.1.2. 
Integrating u n it............................................................... 53
4.1.3. 
Differentiating u n it........................................................ 56
4.2. 
The units of the first o rd er............................................ 59
4.2.1. 
The inertial unit.............................................................. 59
4.3. 
The oscillating unit........................................................ 64
4.4. 
Connection of linear units.............................................. 69
4.4.1. 
Series connection of units................................... .......... 69
4.4.2. 
According - parallel connection of units....................... 70
4.4.3. 
Counter - parallel connection of units........................... 71
4.5. 
The transformation ofblock diagrams.......................... 73
4.6. 
Determination of the transfer functions o f closed
systems............................................................................ 75
Chapter 5 
Stability o f automatic control systems and the quality
of transients processes.................................................... 77
5.1. 
Stability o f automatic control systems.......................... 77
5.2. 
Hurwitz stability criterion............................................... 78
5.3. 
Mikhailov stability criterion......................................... 80
5.4. 
Nyquist stability criterion.............................................. 84
5.5. 
The general formulation o f the Nyquist criterion........ 88
5.6. 
Margin ofstability......................................................... 90
5.7. 
The concept of a transitional processes......................... 91
5.8. 
Direct methods of quality research............................... 93
5.9. 
Indirect methods ofquality research............................ 94
5.10. 
Frequency criteria ofquality research........................... 95
5.11. 
Root criteria o f quality research................................... 98
5.12. 
Integral criteria o f quality research............................... 102
References..................................................................... 104
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X.G‘.KARIMOVJ M.Q.BOBOJANOV

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