| Summary: | A graphical technique for finding proportional integral derivative (PID) controllers that
stabilize a given single-input-single-output (SISO) linear time-invariant (LTI) system of any
order system with time-delay has been solved. In this research, a method is introduced for
finding all achievable PID controllers that also satisfy an H sensitivity, complementary
sensitivity, weighted sensitivity, robust stability, or robust performance constraint. These
problems can be solved by finding all PID controllers that simultaneously stabilize the closedloop
characteristic polynomial and satisfy constraints defined by a set of related complex
polynomials.
There are several key advantages of this procedure. It does not require the plant transfer
function model, but depends only on the frequency response. The ability to include the timedelay
in the nominal model of the system will often allow for designs with reduced
conservativeness in plant uncertainty and an increase in size of the set of all PID controllers that
robustly stabilize the system and meet the performance requirements. === Thesis (Ph.D.)--Wichita State University, College of Engineering, Dept. of Electrical Engineering and Computer Science
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