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782 BASIC CONTROL SYSTEMS


Activating
signal u

Controlled
variable c

Reference
input r
Controller Controlledprocess

Figure 16.2.1Elements of an open-loop control system.

The elements of an open-loop control system may be divided into two parts: the controller
and the controlled process, as shown by the block diagram of Figure 16.2.1. An input signal
or commandris applied to the controller, whose output acts as the actuating signalu. The
actuating signal then controls the controlled process such that the controlled variablecwill
perform according to some prescribed standards. The controller may be an amplifier, mechanical
linkage, or other basic control means in simple cases, whereas in more sophisticated electronics
control, it can be an electronic computer such as a microprocessor.
Feedback control systems can be classified in a number of ways, depending upon the purpose
of the classification.


  1. According to the method of analysis and design.

    • Linear versus nonlinear control systems.Linear feedback control systems are idealized
      models that are conceived by the analyst for the sake of simplicity of analysis and
      design. For the design and analysis of linear systems there exist a wealth of analytical
      and graphical techniques. On the other hand, nonlinear systems are very difficult to treat
      mathematically, and there are no general methods that can be used for a broad class of
      nonlinear systems.

    • Time-invariant versus time-varying systems.When the parameters of a control system are
      stationary with respect to time during the operation of the system, the system is known
      as a time-invariant system. Even though a time-varying system without nonlinearity is
      still a linear system, the analysis and design of such a class of systems are generally
      much more complex than that of linear time-invariant systems.



  2. According to the types of signal found in the system.

    • Continuous-data and discrete-data systems.A continuous-data system is one in which
      the signals at various parts of the system are all functions of the continuous-time variable
      t. When one refers to anac control system, it usually means that the signals in the system
      aremodulatedby some kind of modulation scheme. On the other hand, adc control system
      implies that the signals areunmodulated, but they are still ac signals according to the
      conventional definition. Typical components of a dc control system are potentiometers,
      dc amplifiers, dc motors, and dc tachometers; typical components of an ac control system
      are synchros, ac amplifiers, ac motors, gyroscopes, and accelerometers.

    • Sampled-data and digital control systems.These differ from the continuous-data systems
      in that the signals at one or more points of the system are in the form of either a pulse
      train or a digital code. Sampled-data systems usually refer to a more general class of
      systems whose signals are in the form of pulse data, whereas a digital control system
      refers to the use of a digital computer or controller in the system. The termdiscrete-data
      control systemis used to describe both types of systems.



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