Abstract
This paper presents a method of designing PID controller for both middle frequency range with typical signals input and high frequency range with ramp input. Based on the principle of approximate model matching, the design of PID controller can be converted into the problem of calculating optimal solution of a particular norm with the form of inequality for restricted frequency ranges. With the help of Kalman-Yakubovic-Popov (KYP) lemma, the frequency domain inequalities are transformed to linear matrix inequalities (LMIs) in the state space realization. Finally, a simulation example is provided to illustrate the effectiveness of the main results.
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