Abstract :
The parameterization of all stabilizing control laws, through Youla parameterization, is a widely accepted concept in control design. However, when it is applied to the specific design, it is not effective because of the lack of rules of parameter selection. Generally speaking there are two sources which make the system unrobust, one comes from improper selection of the denominator of sensitivity and complementary sensitivity functions (characteristic polynomial) and other comes from that of the numerator. The Coefficient Diagram Method can give most robust characteristic polynomial for given performance and design limitations. Free parameters can be assigned to the desired numerator terms of the sensitivity and complementary sensitivity functions. In this way, Youla parameterization becomes the effective design tool.
Keywords :
control system synthesis; polynomial matrices; robust control; Youla parameterization; coefficient diagram method; complementary sensitivity function; robust characteristic polynomial; sensitivity function; Control design; Control systems; Design methodology; Laplace equations; Polynomials; Robust control; Robustness; Stability; Sufficient conditions; Three-term control; Coefficient Diagram Method; Controller design; Polynomial design; Robust control;
