Modern Control Engineering
partially in terms of qualitative statements. In the latter case the specifications may have to be modified during the course of ...
Chapter 2 deals with mathematical modeling of control systems that are described by linear differential equations. Specifically, ...
given transient response characteristics. The approach can be expanded to determine the three parameters to satisfy any specific ...
2 13 Mathematical Modeling of Control Systems 2–1 INTRODUCTION In studying control systems the reader must be able to model dyna ...
14 Chapter 2 / Mathematical Modeling of Control Systems transient-response or frequency-response analysis of single-input, singl ...
Section 2–2 / Transfer Function and Impulse-Response Function 15 Outline of the Chapter. Section 2–1 has presented an introducti ...
16 Chapter 2 / Mathematical Modeling of Control Systems 1.The transfer function of a system is a mathematical model in that it i ...
Section 2–3 / Automatic Control Systems 17 The inverse Laplace transform of the output given by Equation (2–2) gives the impulse ...
18 Chapter 2 / Mathematical Modeling of Control Systems + R(s) E(s) G(s) C(s) Summing point Branch point Figure 2–3 Block di ...
the output of the plant. The output of the sensor is compared with the system input, and the actuating error signal is generated ...
20 Chapter 2 / Mathematical Modeling of Control Systems G 1 (s) G 1 (s) G 2 (s) G 2 (s) R(s) C(s) C(s) C(s) R(s) R(s) + + G 1 (s ...
Section 2–3 / Automatic Control Systems 21 Automatic Controllers. An automatic controller compares the actual value of the plant ...
22 Chapter 2 / Mathematical Modeling of Control Systems consists of an automatic controller, an actuator, a plant, and a sensor ...
Section 2–3 / Automatic Control Systems 23 is called the differential gap. A differential gap is indicated in Figure 2–7(b). Suc ...
24 Chapter 2 / Mathematical Modeling of Control Systems From Figure 2–9, we notice that the amplitude of the output oscillation ...
Section 2–3 / Automatic Control Systems 25 or the transfer function of the controller is where is called the integral time. Prop ...
26 Chapter 2 / Mathematical Modeling of Control Systems R(s) G 1 (s) G 2 (s) H(s) Disturbance D(s) C(s) + ++ Figure 2–11 Clo ...
Section 2–3 / Automatic Control Systems 27 Procedures for Drawing a Block Diagram. To draw a block diagram for a sys- tem, first ...
28 Chapter 2 / Mathematical Modeling of Control Systems R G 1 H 1 H 2 G 2 G 3 C R G 1 H 1 G 2 G 3 C R G 3 C RC RC (a) (b) (c) (d ...
Section 2–4 / Modeling in State Space 29 Notice that the numerator of the closed-loop transfer function C(s)/R(s)is the product ...
«
1
2
3
4
5
6
7
8
9
10
»
Free download pdf