Abstract
Frequency conditions determining the parameters of dynamic output controllers for different classes of uncertain systems, such as nonlinear Lur'e systems, systems with parameters switched by an unknown law, and systems with unknown bounded parameters, are formulated.
Similar content being viewed by others
REFERENCES
Doyle, J.C., Glover, K., Khargonekar, P.P., et al., State-Space Solution to Standard H2 and H1 Control Problems, IEEE Trans. Autom. Control, 1989, vol. 34, no. 8, pp. 831–847.
Khargonekar, P.P., Petersen, I.R., and Zhou, K., Robust Stabilization of Uncertain Linear Systems: Quadratic stabilizability and H1 Theory, IEEE Trans. Autom. Control, 1990, vol. 35, pp. 356–361.
Savkin, A.V. and Petersen, I.R., A Connection between H1 Control and the Absolute Stabilizability of Uncertain Systems, Syst. Control Lett., 1994, vol. 23, pp. 197–203.
Battilotti, S., A Unifying Framework for the Semiglobal Stabilization of Nonlinear Uncertain Systems via Measurement Feedback, IEEE Trans. Autom. Control, 2001, vol. 46, pp. 3–16.
Kogan, M.M., Design of Robust H 1-Suboptimal Controllers as the Solution of a Differential Game under Uncertainty: Direct and Inverse Problems, Avtom. Telemekh., 2000, no. 7, pp. 109–120.
Kogan, M.M., A Frequency Condition for the Generalized Recurrent Difference in the Design of H1-Suboptimal Decentralized Robust Controllers, Avtom. Telemekh., 2001, no. 6, pp. 95–110.
Brusin, V.A., Frequency Conditions for H 1-Control and Absolute Stabilization, Avtom. Telemekh., 1996, no. 5, pp. 17–25.
Brusin, V.A., Frequency Criteria for the General Problem of Absolute Stabilizability, Avtom. Telemekh., 2000, no. 1, pp. 11–21.
Liberson, D. and Morse, S.A., Basic Problems in Stability and Design of Switched Systems, IEEE Control Syst. Magaz., 1999, vol. 19, no. 5, pp. 59–70.
Kogan, M.M., A Solution for Inverse Problems on the Worst Perturbation and Minimax Control for Linear Continuous Systems, Avtom. Telemekh., 1997, no. 4, pp. 22–30.
Kalman, R.E., When is a Linear Control System Optimal? ASME J. Basic Eng., Ser. D., 1964, vol. 86, pp. 1–10.
Gelig, A.Kh., Leonov, G.A., and Yakubovich, V.A., Ustoichivost' nelineinykh sistem s needinstvennym sostoyaniem ravnovesiya (Stability of Nonlinear Systems with a Nonunique Equilibrium State), Moscow: Nauka, 1978.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Brusin, V.A., Kogan, M.M. Design of Robust Output Controllers via Frequency Conditions. Automation and Remote Control 63, 641–653 (2002). https://doi.org/10.1023/A:1015134316480
Issue Date:
DOI: https://doi.org/10.1023/A:1015134316480