Abstract
Design of robust systems by the phase constraint variation method is studied. In this method, some sufficient condition must be satisfied on the variation boundary of the constrained phase domain. The solution is determined in the class of linear systems for modular and quadratic constraints. Robustness is shown to depend on the location of the Gershgorin circle on the complex plane. Solvability criteria for the design problem are formulated. A set of constraint functions guaranteeing the desired behavior of the trajectory of the system is described.
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Pilishkin, V.N. Design of Dynamic Systems by the Phase Constraint Variation Method under Admissible Robustness. Automation and Remote Control 63, 449–462 (2002). https://doi.org/10.1023/A:1014754501574
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DOI: https://doi.org/10.1023/A:1014754501574