Consider the single-input, single-output system described by Where Assume that the input is a linear combination of
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Consider the single-input, single-output system described by
Where
Assume that the input is a linear combination of the states, that is,
Where r(t) is the reference input. The matrix
K = [K1 K2] is known as the gain matrix. Substituting u(t) into the state variable equation gives the
closed-loop system
The design process involves finding K so that the eigenvalues of A-BK are at desired locations in the left-half plane. Compute the characteristic polynomial associated with the closed-loop system and determine values of K so that the closed-loop eigenvalues are in the left-half plane.
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