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Feedback systems stabilizability in terms of invariant zeros. (English) Zbl 0778.93099
Systems, models and feedback: theory and applications, Proc. US-Italy Workshop in Honor of Prof. Antonio Ruberti, Capri/Italy 1992, Prog. Syst. Control Theory 12, 323-338 (1992).
Summary: [For the entire collection see Zbl 0745.00051.]
Some interesting connections between the invariant zeros layout and the stabilizability features of multivariable feedback systems are investigated. Starting from a very general statement of the problem (the meaning of invariant zeros in the context of dual-lattice structures of controlled and conditioned invariants), conditions for the existence of a stable feedback solution are stated in the following cases: i) achievement of structural changes through algebraic state feedback and output injection; ii) achievement of structural changes through dynamic output feedback; iii) general feedback regulation in presence of both completely unaccessible disturbances modeled by piecewise-continuous functions and inputs (accessible or not) modeled by an exosystem.

93D15 Stabilization of systems by feedback
93C35 Multivariable systems, multidimensional control systems