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arXiv · 2505.14176

Functional Controllability, Functional Stabilizability, and the Generalized Separation Principle

Tyrone Fernando·Mohamed Darouach
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Abstract

This paper introduces the new concepts of Functional Controllability and Functional Stabilizability, and establishes their duality with Functional Observability and Functional Detectability, respectively. A Generalized Separation Principle is presented, under which the classical Separation Principle emerges as a special case. Conditions for the existence of functional controllers of a specified order are derived. Notably, the proposed design framework does not require full controllability. In addition, a functional observer-based controller design is developed for systems that may be both uncontrollable and unobservable. The results presented extend and generalize the classical full-state observer based feedback control paradigm.

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Tyrone Fernando, Mohamed Darouach. 2025-05-20. Functional Controllability, Functional Stabilizability, and the Generalized Separation Principle. https://doi.org/10.1109/tac.2025.3634469

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