Ankara : The Department of Electrical and Electronics Engineering and the Institute of Engineering and Sciences of Bilkent Univ., 1989.Thesis (Master's) -- Bilkent University, 1989.Includes bibliographical refences.In this thesis, we consider “exact” and “approximate” versions of the disturbance
decoupling problem and the noninteracting control problem for linear, time-invariant
systems. In the exact versions of these problems, we obtain necessary and sufficient
conditions for the existence of an internally stabilizing dynamic output feedback
controller such that prespecified interactions between certain sets of inputs and
certain sets of outputs are annihilated in the closed-loop system. In the approximate
version of these problems we require these interactions to be quenched in the ‘Hoo
sense, up to any degree of accuracy. The solvability of the noninteracting control
problems are shown to be equivalent to the existence of a common solution to two
linear matrix equations over a principal ideal domain. A common solution to these
equations exists if and only if the equations each have a solution and a bilateral
matrix equation is solvable. This yields a system theoretical interpretation for the
solvability of the original noninteracting control problem.Akar, NailM.S
