Abstract
Linear control in the “object-state observer-controller” loop was considered. The matrix equations defining the general solution to this problem based on the desirable matrix transfer function were obtained using the technology of system embedding. In contrast to the traditional concept of separation of linear observation and control, the unknown auxiliary matrix appearing in these equations was shown to reflect their integration. An algorithm to design the united “state observer-controller” system from the desirable closed-loop matrix transfer functions was proposed. The paper was illustrated by examples.
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Bukov, V.N., Ryabchenko, V.N. & Kos'yanchuk, V.V. System Embedding. Linear Control with Observation. Automation and Remote Control 62, 356–369 (2001). https://doi.org/10.1023/A:1002845808983
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DOI: https://doi.org/10.1023/A:1002845808983