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1. Obtain the system transfer functions:
- for control input signal (x);
- for disturbance input signal (Td);
using block diagram transformation theorems;
2. Obtain the system transfer functions:
using the Mason’s gain rule and compare the obtained results with the results in item.1;
3. Obtain your system’s state-space models:
- for control signal (x);
- for disturbance signal (Td);
4. Compare the characteristics (step response, impulse response, Nyquist diagram, Bode diagram, Nichols diagram, Gain and Phase Margins, Pole/Zero Map) of your control system equivalent transfer functions for control input signal (x) and disturbance input signal (Td) (obtained by the usage of block diagram transformation theorems and the Mason’s gain rule) using the possibilities of linear analysis.
5. Carry out a system design procedure using various methods and define the best controller characteristics:
5.1. Carry out a system design procedure using the root locus method.
- gain margin: 10 dB<GM<40 dB;
- phase margin <PM< ;
5.2. Carry out a system design procedure using the phase lead regulator method.
- gain margin: 10 dB<GM<40 dB;
- phase margin <PM< ;
5.3. Carry out a system design procedure using the phase lag regulator method.
- gain margin: 10 dB<GM<40 dB;
- phase margin <PM< ;
5.4. Carry out a system design procedure using the PID regulator method.
- gain margin: 10 dB<GM<40 dB;
- phase margin <PM< ;
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