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Relationship between different topics in Control System, Group members …

- - - - Common types
        
        ordinary differential equations (ODEs)
        
        partial differential equations (PDEs)
    - - depending on the type and order of the equation
      - may involve
        
        integrating
        
        differentiating
        
        algebraic operations
- - - - with +ve 'a'
      - If value u and v are known
    - - if a=0; use s=vt
- - - - Transform func. variable from time-domain(t) to frequency domain (s)
        
        STEPS
        
        Direct question. Solve by using table
        
        May involve partial fraction to solve problem
        
        PARTIAL FRACTION
        
        Partial fraction formulae
    - - Transform frequency-domain to time-domain
        
        STEPS
        
        Direct question
        
        Needed to used partial fraction to obtain differential equation
- - - - 2 Types
        
        closed loop transfer function
        
        open loop transfer function
      - The transfer function of a control system is defined as the ratio of the Laplace transform of the output variable to Laplace transform of the input variable assuming all initial conditions to be zero. It is also defined as the Laplace transform of the impulse response
      - it allows engineers to design controllers that can regulate the output of a system. and enable the engineers to design effective control strategies for a wide range of applications.
- - - - Graphical representation of a system that uses simple, labeled blocks that represent single or multiple items, entities or concepts, connected by lines to show relationships between them
  - - - Make more simply because block diagrams offer up a quick view of an overall system or process
      - helps designers and decision makers identify potential issues or previously unconsidered opportunities before physical construction begins
  - - - blocks
        
        summing points
        
        takeoff points
        
        arrow
  - - - BLOCK DIAGRAM
      - Transformation Table
- - - - control system that regulates the temperature, humidity, and air quality in indoor spaces
      - works by controlling the flow and temperature of air
      - often involving a feedback loop to maintain a set temperature
    - - Sensing
      - Comparison
      - Control
      - Feedback
    - - Control algorithms
        
        PID (Proportional-Integral-Derivative)
    - - Residential and commercial air conditioning systems
      - Environmental control in industrial processes
      - Climate control in data centers and labs
      - Temperature and humidity regulation in food storage
  - - - control system in vehicles that maintains a constant speed set by the driver
      - automatically adjusting throttle or braking to keep the vehicle at the desired speed
    - - Input
      - Sensing
      - 3。 Comparison
      - Control
      - Feedback
    - - Automotive cruise control systems for maintaining constant highway speeds
      - Speed regulation in industrial processes, such as conveyor belts
      - Automatic speed control in trains and some aircraft.
      - Variable speed drives in manufacturing
    - - Control algorithms
        
        manage throttle and brake inputs to maintain the desired speed