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Decoupling linear multiinput multioutput plants by dynamic output feedback: an algebraic theory. (English) Zbl 0603.93029

This paper presents a general algebraic design method for all diagonal input-output maps which can be achieved by a stabilizing two-input-one- output controller for a given plant. The design method is that of two- degree-of-freedom design. This two-degree-of-freedom design enables us to design an input-output map independently of the disturbance-output map and, therefore, requiring the compensator to decouple the input-output map, leaves the stabilizing nature of the compensator intact. Design theory is presented in Section 2. Section 3 characterizes all diagonal input-output maps which can be achieved by the design method stated in Section 2. Examples and conclusions are shown in Section 4.
Reviewer: K.Ichikawa

MSC:

93C35 Multivariable systems, multidimensional control systems
93B25 Algebraic methods
93B50 Synthesis problems
93B15 Realizations from input-output data
93C05 Linear systems in control theory
93D15 Stabilization of systems by feedback
93D25 Input-output approaches in control theory
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