Optimal Noise Rejection in Structural Analysis by Means of Generalized Sampled-Data Hold Functions

Journal of Global Optimization

Volumn 17, Issue 1-4, 2000, Pages 19-42

  Arvanitis, K G ^a   Zaharenakis, E ^b   Soldatos, A ^c  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

^b TECHNOLOGICAL EDUCATIONAL INSTITUTE OF CRETE   (Greece)

^c NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

LQG control; Noise rejection; Robustness; Sampled data control; Structural control

Indexed keywords

EID: 2242483812     PISSN: 09255001     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1026726729698     Document Type: Article

References (28)

1. P.D. Panagiotopoulos, Optimal control of structures with convex and nonconvex energy densities and variational and hemivariational inequalities, Eng. Struct., vol. 6, pp. 12-18, 1984.
2. G.E. Stavroulakis, Optimal prestress of cracked unilateral structures: Finite element analysis of an optimal control problem for variational inequalities, Comp. Meth. Appl. Mech. Engineering, vol. 123, pp. 231-246, 1995.
3. J.M. Kelly, G. Leitmann and A.G. Soldatos, Robust control of base-isolated structures under earthquake excitation, J. Optim. Theory Appl., vol. 53, pp. 159-180, 1987.
4. ∞-optimization in structural analysis, Z.A.M.M., vol. 77, pp. 189-195, 1997.
5. ∞ control for seismic-excited buildings with acceleration feedback, J. Eng. Mechanics, vol. 121, pp. 994-1002, 1995.
6. 4-norm regulation in structural analysis using multirate-output controllers, Z.A.M.M., vol. 80, pp. 353-376, 2000.
7. E.C. Zacharenakis and G.E. Stavroulakis, On the seismic disturbance rejection of structures, J. Global Optimiz., in press, 2000.
8. A.B. Chammas and C.T. Leondes, On the design of linear time invariant systems by periodic output feedback, Parts I and II, Int. J. Control, vol. 27, pp. 885-903, 1978.
9. J.P. Greshak and G.C. Vergese, Periodically varying compensation of time-invariant systems, Syst. Control Lett., vol. 2, pp. 88-93, 1982.
10. P.P. Khargonekar, K. Poola and A. Tannenbaum, Robust control of linear time-invariant plants using periodic compensation, IEEE Trans. Autom. Control, vol. AC-30, pp. 1088-1096, 1985.
11. M. Araki and T. Hagiwara, Pole assignment by multirate sampled data output feedback, Int. J. Control, vol. 44, pp. 1661-1673, 1986.
12. P.T. Kabamba, Control of linear systems using generalized sampled-data hold functions, IEEE Trans. Autom. Control, vol. AC-32, pp. 772-783, 1987.
13. H.M. Al-Rahmani and G.F. Franklin, Linear periodic systems: Eigenvalue assignment using discrete periodic feedback, IEEE Trans. Autom. Control, vol. 34, pp. 99-103, 1989.
14. P.T. Kabamba and C. Yang, Simultaneous controller design for linear time-invariant systems, IEEE Trans. Autom. Control, vol. 36, pp. 106-111, 1991.
15. P.N. Paraskevopoulos and K.G. Arvanitis, Exact model matching of linear systems using generalized sampled-data hold functions, Automatica, vol. 30, pp. 503-506, 1994.
16. K.G. Arvanitis, Adaptive decoupling of linear systems using multirate generalized sampled-data hold functions, IMA J. Math. Control Inform., vol. 12, pp. 157-177, 1995.
17. K.G. Arvanitis, On the localization of intersample ripples of linear systems controlled by generalized sampled-data hold functions, Automatica, vol. 34, pp. 1021-1024, 1998.
18. th IASTED Intern. Conf. Modelling, Identif. Control, vol. 1, pp. 345-347, Grindelwald, Switzerland, February 18-20, 1998.
19. K.G. Arvanitis, An algorithm for adaptive pole placement control of linear systems based on generalized sampled-data hold functions, J. Franklin Inst, vol. 336, pp. 503-521, 1999.
20. K.G. Arvanitis, N. Sigrimis, I.K. Kookos and G. Kalogeropoulos, Mode reference adaptive controller design for MIMO linear systems based on multirate generalized sampled-data hold functions, Systems Sci., vol. 25, pp. 5-36, 1999.
21. U. Shaked, Guaranteed stability margins for the discrete-time linear quadratic optimal regulator, IEEE Trans. Autom. Control, vol. AC-31, pp. 162-165, 1986.
22. K.G. Arvanitis, G. Kalogeropoulos and T.G. Koussiouris, Singular value properties of the discrete-time LQ optimal regulator in S.G. Tzafestas and G. Schmidt (eds): Progress in System and Robot Analysis and Control Design, pp. 29-40, Springer-Verlag, New York, 1999.
23. N.A. Lehtomaki, N.R. Sandal Jr. and M. Athans, Robustness results in linear quadratic Gaussian based multivariable control designs, IEEE Trans. Autom. Control, vol. AC-6, pp. 75-93, 1981.
24. N. Komaroff, Iterative matrix bounds and computational solutions to the discrete algebraic Riccati equation, IEEE Trans. Autom. Control, vol. AC-39, pp. 1676-1678, 1994.
25. C.-H. Lee, Upper matrix bound of the solution for the discrete Riccati equation, IEEE Trans. Autom. Control, vol. AC-42, pp. 840-842, 1997.
26. C.-H. Lee, Upper and lower bounds of the solutions of the discrete algebraic Riccati and Lyapounov matrix equations, Int. J. Control, vol. 68, pp. 579-598, 1997.
27. K. Yasuda and K. Hirai, Upper and lower bounds on the solution of the algebraic Riccati equation, IEEE Trans. Autom. Control, vol. AC-24, pp. 483-487, 1979.
28. C.-H. Lee and F.-C. Kung, Upper and lower matrix bounds of the solutions for the continuous and discrete Lyapunov equations, J. Franklin Inst., vol. 334B, pp. 539-546, 1997.