The exact model matching of linear multivariable systems

A Youla–Kučera parameterization approach to output feedback relatively optimal control

“…As commented earlier, if one could choose the initial state of the filter, it would be sufficient to set w(0) = x 0 , so that r(0) = 0 in equation (14). In this way the movement of the state variable would be described byẋ(t) = (A + BJ)x(t) and the ''relatively optimal'' property…”

“…Given a linear system with transfer function G(s) and statespace descriptioṅ the classical model matching problem [14] consists in finding a state-space feedback …”

Simultaneous exact model matching with stability by output feedback

“…A formulation and the solution of exact model matching problem by proportional state feedback problem have been given for the first time in [14]. It is pointed out that the model matching algorithm of [14] can be applied effectively to invertible systems only [15]. Later in [15] a complete solution to the exact model matching problem is given.…”

“…It is pointed out that the model matching algorithm of [14] can be applied effectively to invertible systems only [15]. Later in [15] a complete solution to the exact model matching problem is given. Their method reduces the solution of the model matching problem to one of solving a set of linear algebraic equations.…”

H 2 -Pseudo Optimal Model Following: A Geometric Approach

“…that of synthesizing a state or output feedback control law for a given plant in order to make the impulse response matrix of the compensated system exactly equal to that of a prespecified model, has been studied for different classes of systems since the early 1970's (Wolovich, 1972;Wang and Desoer, 1972;Moore and Silverman, 1972;Wang and Davison, 1972). These early investigations were primarily concerned with problem solvability under various hypotheses.…”