Department of Air-conditioning and Refrigeration Engineering/ National Taipei University of Technology 數位控制設計使用 MATLAB 李達生.

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Presentation transcript:

Department of Air-conditioning and Refrigeration Engineering/ National Taipei University of Technology 數位控制設計使用 MATLAB 李達生

Department of Air-conditioning and Refrigeration Engineering/ National Taipei University of Technology Continuous Signal, Discrete Signal and Digital Signal ADC f(t) = …. Sampling

Department of Air-conditioning and Refrigeration Engineering/ National Taipei University of Technology Z Transform v.s. Laplace Transform For a discrete signal Laplace Transform can be written as

Department of Air-conditioning and Refrigeration Engineering/ National Taipei University of Technology Z Transform v.s. Laplace Transform If we define The Z transform can be expressed as For a sampling time equals to 1 sec, Z transform can be expressed as

Department of Air-conditioning and Refrigeration Engineering/ National Taipei University of Technology Z Transform mapping

Department of Air-conditioning and Refrigeration Engineering/ National Taipei University of Technology Z Transform

Department of Air-conditioning and Refrigeration Engineering/ National Taipei University of Technology PID controller in Z domain A PID controller can be expressed in Z domain by T is the sampling time. i.e. the control performance can be influenced by sampling time

Department of Air-conditioning and Refrigeration Engineering/ National Taipei University of Technology PID controller in Z domain

Department of Air-conditioning and Refrigeration Engineering/ National Taipei University of Technology Nyquist sampling frequency The sampling frequency should exceed the signal frequency at least two times. The frequency is called Nyquist Frequency

Department of Air-conditioning and Refrigeration Engineering/ National Taipei University of Technology RLC Circuit Response Design

Department of Air-conditioning and Refrigeration Engineering/ National Taipei University of Technology Sampling and Notch Filter

Department of Air-conditioning and Refrigeration Engineering/ National Taipei University of Technology DC Motor Control