| Summary: | 碩士 === 國立交通大學 === 電機與控制工程系 === 90 === ABSTRACT
In classic control theory, we can usually apply methods including root locus, Routh stability criterion, Nyquist plot, Bode plot and Nichols chart to design the controllers such that the resulting systems meet the specifications of time or frequency domain.
In the thesis, we first introduce some theory about interval system including Kharitonov theory, Mikhailov criterion, zero exclusion principle and extremal system to discuss the stability of interval parametric polynomial.
Then, we use the methods of Nyquist plot, Bode plot and Nichols chart to check the stability of an interval system and define the gain and phase margins.
Lastly, we use the upper bound of Bode plot in gain and the lower bound of Bode plot in phase to design a PID controller of an interval system. We also use Nyquist plot, Bode plot and Nichols chart to check the system stability after compensation.
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