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Abstract The presented thesis has been aimed at two objects. The first one has been the construction of a general decoupling Some decoupling softwares have been known over the ~st two decades. These softwares are suitable only for some special decoupling problems. So, the thesis dealt with the wftware has been applicable for square systems or right invertible systems, and for systems decouplable through state ~~back alone or weak inherent coupling systems. Also, the ~~ented software is sutable for systems having unstable, ~~servable poles. The available known software dealt only ~th decoupling square systems through state feedback alone. TRUE BASIC I anguage has been used for the developed software. Alot of subroutines, in addition to the decoupling topics ~cessary, for the constructed programs, have been also built using TRUE BASIC. These subroutines include : 1.Polynomial addition, 2.Polynomial mul tipl ication, 3.Polynomial division, 4.Norm of a polynomial, 5.Multiplication of two polynomial matrices, 6.Inversion of a p’:’Ilynomial matrix, n Roots ( eigenvalues) of a polynomial, B) Ran k 0 f a mat r ix, 9) Row-essent i al concept, 10) Linearly dependency of a set of rows ( columns), 11> Realization of a transfear function matrx, 12.Row-reduction to Cremer’s form, and 13.Pesudo-i nver se 0 f sc al ar mat r i x usi ng GSO. ~Kial interest has been given for ~ftware using practical prbblems. testing the In Chapter developed three, the distillation column system has been solved using state feedback alone. In Chapter four, the drum boi ler system has ~~ considered and solved as a weak inherent coupled system. The petrol engine system has been given in Chapter five as an ”ample of systems possessing unstable unobservable poles. The second object of the thesis was the development of some new decoupl ing methods. In Chapter four, a new method, ~Kompensator. Chapter six contains a new employment of the ~coupling theory in the control of multi-area power systems. The most important result which has been obtained is the ~ssibility of disturbances rejection through state feedback. interact i on-predi ct i on illustrated. the |