Stabilization of Interconnected Systems with Decentralized State and/or Output Feedback

This paper investigates the problem of the stabilization of a system (A, Bd) consisting of two interconnected subsystems, with decentralized state or output feedback. Following the initial definition of the global system and of its two subsystems in the state-space, and based on the intercontrollability matrix D(s) of system (A, Bd) and on the kernel U(s) of D(s), an equivalent system {M(s), I2} defined in the operator domain by an appropriate polynomial matrix description (PMD) is determined. The interconnected system can then stabilized with a suitable local feedback, based on which, a decentralized output feedback can be determined as well.

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