Robust Controller Design for Systems with Non-Stationary Variations of Parameters and Bounded External Disturbances

• Published in: 2020 24th International Conference on System Theory, Control and Computing (ICSTCC) pp. 304 - 309
• Main Authors: Chestnov, V. N., Shatov, D. V.
• Format: Conference Proceeding
• Language: English
• Published: IEEE 08.10.2020
• Subjects: Asymptotic stability; Closed loop systems; Linear matrix inequalities; Mathematical model; Optimization; Robust stability
• DOI: 10.1109/ICSTCC50638.2020.9259758

Linear multivariable systems, which have physical parameters changing their values from the nominal ones in an arbitrary and non-stationary way, are considered. A control plant is subject to action of polyharmonic external disturbances containing an arbitrary number of frequencies with unknown amplitudes (their sum is bounded). The following problem of controller synthesis is formulated: design a controller that guarantees robust stability of the closed loop system and in addition provides given controlled variables errors of the nominal plant for the steady-state process. The problem solution is based on a representation of the system equations in (W, Λ, K)-form and is formulated as a standard H ∞ optimization procedure. Desired accuracy is provided through analytic selection of a weighting matrix for the controlled variables of the plant. The proposed approach is illustrated with a solution of a well-known benchmark problem.