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Chương 1: Các khái niệm và nguyên lý cơ bản 1.1. Biễu diễn sơ đồ khối của một hệ thống sưởi với các thành phần như sau: • • • • Nhiệt kế - tín hiệu vào là nhiệt độ phòng và tín hiệu ra có dạng ON/OFF Valve solenoid – tín hiệu vào là ON/OFF từ nhiệt kế và tín hiệu ra là dòng khí chảy đến lò sưởi. Phòng – tín hiệu vào là nhiệt từ lò sưởi và tín hiệu ra là nhiệt độ phòng. Lò sưởi – tín hiệu vào là dòng khí và tín hiệu ra là lượng nhiệt truyền vào phòng.

1.2. Đơn giản sơ đồ khối cho các hệ thống sau: a.

b.

c.

d.

1.3. Dữ liệu thí nghiệm cho bốn phần tử được ghi nhận như bên dưới. Vẽ đồ thị thể hiện quan hệ vào-ra, vẽ mũi tên thể hiện chiều di chuyển, và cho biết tính chất phi tuyến cho mỗi phần tử. a.
Input Output 0 0 5 16 10 38 15 62 20 84 25 100 20 84 15 62 10 38 5 16 0 0

b.
Input Output 0 0 5 18 10 36 15 56 20 78 25 100 20 82 15 64 10 44 5 22 0 0

c.
Input Output 0 10 6 10 10 30 15 55 20 80 22 90 25 90 19 90 15 70 10 45 5 20 3 10 0 10

d.
Input Output 0 10 6 10 10 27 15 50 20 78 22 90 25 90 19 90 15 73 10 50 5 22 3 10 0 10

1.4. Thực hiện theo các yêu cầu sau: a. Draw a block diagram of an open-loop control system. b. Use the block diagram to describe how the system works. c. What basic requirements must the components meet for this system to work? d. What is the advantage of this system over a closed-loop system? 1.5. The controlled variable in a closed-loop system is a robot arm. Initially, it is at 45°; then it is commanded to go to 30°. Describe what happens in terms of set point, feedback signal, error signal, and arm position.

1.6. A potentiometer has a transfer function of 0.05 V/deg. Find the pot’s output if the input is 89°? 1.7. In a certain system, an electric heating element was found to increase the temperature of a piece of metal 10° for each ampere of current. The metal expands 0.001 in./deg and pushes on a load sensor which outputs 1 V/0.005 in. of compression. a. Find the transfer functions of the three components and

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