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Robust memoryless $H\sb \infty$ controller design for linear time-delay systems with norm-bounded time-varying uncertainty. (English) Zbl 0875.93102

MSC:
93B36$H^\infty$-control
34K35Functional-differential equations connected with control problems
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References:
[1] Choi, H. H.; Chung, M. J.: Memoryless H$\infty $controller design for linear systems with delayed state and control. Automatica 31, 917-919 (1995) · Zbl 0829.93021
[2] Doyle, J. C.; Glover, K.; Khargonekar, P. P.; Francis, B. A.: State-space solutions to standard H2 and H$\infty $control problems. IEEE trans. Autom. control 34, 831-847 (1989) · Zbl 0698.93031
[3] Glover, K.; Doyle, J. C.: State-space formulae for all stabilizing controllers that satisfy an h\infty-norm bound and relations to risk sensitivity. Syst. control lett. 11, 167-172 (1988) · Zbl 0671.93029
[4] Gu, K.: H$\infty $control of systems under norm bounded uncertainties in all system matrices. IEEE trans. Autom. control 39, 1320-1322 (1994) · Zbl 0812.93029
[5] Lee, J. H.; Kim, S. W.; Kwon, W. H.: Memoryless H$\infty $controllers for state delayed systems. IEEE trans. Autom. control 39, 159-162 (1994) · Zbl 0796.93026
[6] Petersen, I. R.: Disturbance attenuation and H$\infty $optimization: a design method based on the algebraic Riccati equation. IEEE trans. Autom. control 32, 427-429 (1987) · Zbl 0626.93063
[7] Petersen, I. R.: A stabilization algorithm for a class of uncertain linear systems. Syst. control lett. 8, 351-357 (1987) · Zbl 0618.93056
[8] Van Dooren, P.: A generalized eigenvalue approach for solving Riccati equation. SIAM J. Sci. statist. Comput. 2, 121 (1981) · Zbl 0463.65024
[9] Xie, L.; De Souza, C. E.: Robust H$\infty $control for linear systems with norm-bounded time-varying uncertainty. IEEE trans. Autom. control 37, 1188-1191 (1992) · Zbl 0764.93027
[10] Zhou, K.; Khargonekar, P. P.: An algebraic Riccati equation to H$\infty $optimization. Syst. control lett. 11, 85-91 (1988) · Zbl 0666.93025