Abstract
Invariant and noninteracting linear dynamic systems elaborated are designed on the basis of separable-motion systems through high-gain feedback and discontinuous controls. High-gain feedback along with a hierarchical controls widens the class of invariant systems compared to the well-known results of control theory, yields solutions to problems under parametric uncertainty of the model of the controlled object, and splits the synthesis problem into independent subproblems of reduced dimension due to motions of different rates in a closed-loop system.
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Utkin, V.A. Invariance and Independence in Systems with Separable Motion. Automation and Remote Control 62, 1825–1843 (2001). https://doi.org/10.1023/A:1012790223645
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DOI: https://doi.org/10.1023/A:1012790223645