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Linear quadratic regulators (LQR) have been used extensively in many feedback control applications. In the area of control and structure interaction, LQR have been applied to large space structures to suppress the vibration due to flexibility. To prevent structural damages, LQR can be used to reduce the vibration due to large external excitations. Although, both applications are concerned about the...
It has been shown that a first-order linear compensator stabilizes an interval plant with numerator and denominator being Kharitonov polynomials if and only if sixteen extreme plants are Hurwitz. The sixteen extreme plants are generated by using the four extreme polynomials of the numerator and the four extreme polynomials of the denominator corresponding to the maximum or minimum values of real or...
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