Decoupling in the design and synthesis of singular systems. (English) Zbl 0587.93017

This paper presents necessary and sufficient conditions for decoupling of linear, time-invariant, singular systems. The control law applied is of constant-ratio proportional and derivative state feedback type. It is shown that such a control law presents an invertible transformation which transforms the singular closed loop system to a regular one. In the frequency domain this gives a duality property between regular and generalized transfer functions. Given a system that satisfies the necessary and sufficient conditions, the class of all feedback matrices which decouple the system is characterized. Finally, a synthesis technique is developed for the realization of desired closed loop pole- zero configurations.


93B50 Synthesis problems
34A99 General theory for ordinary differential equations
93C05 Linear systems in control theory
93B55 Pole and zero placement problems
93C35 Multivariable systems, multidimensional control systems
93C99 Model systems in control theory
Full Text: DOI


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