Abstract
Consideration was given to the design of continuous and discrete robust controllers for multidimensional systems with parametric uncertainty. Algorithms to calculate the weight matrices at the coordinates of the output vector and at the equivalent external perturbations in the dynamic model of the object for which the controllers that are optimal in the quadratic or H∞ criterion guarantee stability of the closed-loop system within the given domain of parametric uncertainty were proposed, and examples were presented.
Similar content being viewed by others
REFERENCES
Grigor'ev, V.V., Design of Control for Systems with Varying Parameters, Avtom.Telemekh., 1983, no. 2, pp. 64–70.
Petersen, I.R. and Hollot, C.V., A Riccati Equation Approach to the Stabilization of Uncertain Linear Systems, Automatica, 1986, vol. 22, no. 4, pp. 397–411.
Petersen, I.R., A Stabilization Algorithm for a Class of Uncertain Linear Systems, Syst.Control Lett., 1987, vol. 8, no. 4, pp. 351–357.
Geromel, J.C., Peres, P.L.D., and Souza, S.R., H1-Control of Discrete-Time Uncertain Systems, IEEE Trans.Autom.Control, 1994, vol. 39, no. 5, pp. 1072–1078.
Kogan, M.M., A Game-Theoretical Approach to the Design of Robust Controllers, Avtom.Telemekh., 1998, no. 5, pp. 142–151.
Kogan, M.M., Linear-quadratic Dynamic Game under Uncertainty and Design of RobustH1-suboptimal Controllers, Avtom.Telemekh., 1999, no. 3, pp. 131–143.
Chestnov, V.N., Using the Circular Frequency Inequalities to Design the Robust Controllers of Multidimensional Systems under Parametric Uncertainty, Avtom.Telemekh., 1999, no. 3, pp. 229–238.
Bakhilina, I.M. and Stepanov, S.A., Design of Rough Linear Quadratic Gaussian Controllers, Avtom.Telemekh., 1998, no. 7, pp. 96–106.
Wonham, W.M., Linear Multivariable Control: A Geometric Approach, New York: Springer, 1979. Translated under the title Lineinye mnogomernye sistemy upravleniya: geometricheskii podkhod, Moscow: Nauka, 1980.
Bakhilina, I.M. and Stepanov, S.A., On the Problem of Designing the Discrete H1-Controllers, Avtom.Telemekh., 2000, no. 2, pp. 86–96.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bakhilina, I.M., Stepanov, S.A. Design of Robust Linear Controllers under Parametric Uncertainty of the Object Model. Automation and Remote Control 62, 101–113 (2001). https://doi.org/10.1023/A:1002836118899
Issue Date:
DOI: https://doi.org/10.1023/A:1002836118899