Stability of actively controlled structures with actuator saturation

Journal of Structural Engineering

Volumn 123, Issue 4, 1997, Pages 505-512

  Agrawal, A K ^a   Yang, J N ^a   Schmitendorf, W E ^a   Jabbari, F ^a  

^a University of California at Irvine   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; ASYMPTOTIC STABILITY; COMPUTER SIMULATION; COMPUTER SOFTWARE; CONTROL SYSTEM SYNTHESIS; DAMPING; EARTHQUAKES; FEEDBACK CONTROL; LYAPUNOV METHODS; OPTIMAL CONTROL SYSTEMS; VIBRATION CONTROL;

ACTIVELY CONTROLLED STRUCTURES; ACTUATOR SATURATION; LINEAR MATRIX INEQUALITIES; LINEAR QUADRATIC REGULATOR CONTROLLER; LYAPUNOV CONTROLLERS; POLE ASSIGNMENT CONTROLLER; SLIDING MODE CONTROLLERS;

STRUCTURES (BUILT OBJECTS);

EID: 0031120505     PISSN: 07339445     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9445(1997)123:4(505)     Document Type: Article

References (39)

1. Abdel-Rohman, M., and Leipholz, H. H. (1978). "Structural control by pole assignment method." J. Engrg. Mech. Div., ASCE, 104(5), 1159-1175.
2. Bernstein, D. S., and Michel, A. N. (eds.) (1995a). "Special issue on saturating actuators." Int. J. of Robust and Nonlinear Control, 5(5).
3. Bernstein, D. S., and Michel, A. N. (1995b). "A chronological bibliography on saturating actuators." Int. J. of Robust and Nonlinear Control, 5(5), 375-380.
4. Boyd, S., and Yang, Q. (1989). "Structure and simultaneous Lyapunov functions for system stability problems." Int. J. of Control, 49(6), 2215-2240.
5. Boyd, S., El Ghaoui, L., Feron, E., and Balakrishnan V. (1994). Linear matrix inequalities in system and control theory. Soc. for Industrial and Appl. Math. (SIAM), Philadelphia, Pa.
6. Chuang, C. H., and Wu, D. N. (1995). "Active structural controllers with amplitude and actuator constraints." Proc., 10th VPI & SU Symp. on Struct. Dyn., L. Meirovitch, ed., Virginia Polytech. Inst. and State Univ., Blacksburg, Va., 13-24.
7. Chung, L. L., Reinhorn, A. M., and Soong, T. T. (1988). "Experiments on active control of seismic structures." J. Engrg. Mech., ASCE, 114(2), 241-256.
8. Dolphus, R. M., and Schmitendorf, W. E. (1995). "Stability analysis for a class linear controllers under control constraints." Dyn. and Control, 5, 191-203.
9. Dyke, S. J., Spencer, B. F., Quast, P. I., Sain, M. K., and Kaspari, D. C. (1994). "Experimental verification of acceleration feedback control strategies for MDOF structures." Computational stochastic mechanics, P. D. Spanos, ed., A. A. Balkema, Rotterdam, The Netherlands, 137-148.
10. Gahinet, P., Nemirovski, A., Laub, A. J., and Chilali, M. (1994). LMI control toolbox for use with MATLAB, The Math Works Inc., Natick, Mass.
11. Gutman, Per-Olof and Hagander, P. (1985). "A new design of constrained controllers for linear systems," IEEE Transactions on Automatic Control, AC-30(1), 22-33.
12. Helgeson, R. J., and Szustak, P. W. (1995). "Saturation constrained LQR." Proc., 10th VPI & SU Symp. on Struct. Dyn., L. Meirovitch, ed., Virginia Polytech. Inst. and State Univ. Publ., Blacksburg, Va.
13. Horisberger, H. P., and Belanger, P. R. (1976). "Regulators for linear, time invariant plants with uncertain parameters." IEEE Trans. on Automatic Control, 12, 705-708.
14. Housner, G. W., Masri, S. F., and Soong, T. T. (1994). "Second generation of active structural control in civil engineering." Proc., 1st World Conf. on Struct. Control, USC Publ., Los Angeles, Calif., 1-18.
15. Indrawan, B., and Higashihara, H. (1993). "Active vibration control with explicit treatment of actuator limits." Proc., Seminar on Seismic Isolation, Passive Energy Dissipation and Active Control, Vol. 2, Appl. Technol. Council (ATC), San Francisco, Calif., 17-1.
16. Indrawan, B., Kobori, T., Sakamoto, M., Koshika, N., and Ohrui, S. (1996). "Experimental verification of bounded force control method." Earthquake Engrg. and Struct. Dyn., 25(2), 179-193.
17. Ingwerson, D. R. (1962). "A modified Lyapunov method for nonlinear stability analysis." IEEE Trans. on Automatic Control, AC-6, 199-210.
18. ∞., control for seismic-excited buildings with acceleration feedback." J. Engrg. Mech., ASCE, 121(9), 994-1002.
19. Johnson, C. (1965). "Singular problems in optimal control." Advances in control systems, Vol. 2, Leondes, C., ed., Academic Press, Inc., San Diego, Calif., 209-267.
20. Kalman, R. E., and Bertram, J. E. (1960). "Control system analysis and design via the second method of Lyapunov: I continuous-time systems." J. Basic Engrg., 82(June), 371-393.
21. Khalil, H. K. (1992). Nonlinear systems. Macmillan Publishing Co., New York, N. Y.
22. Kobori, T., and Kamagata, S. (1992). "Dynamic intelligent buildings - active seismic response control." Intelligent structures - 2: monitoring and control, Elsevier Applied Science, New York, N.Y., 279-282.
23. ∞ active seismic response control using static output feedback." J. Engrg. Mech., ASCE, 122(7), 651-659.
24. Lee, A. W., and Hedrick, K. J. (1995). "Some new results on closed-loop stability in the presence of control saturation." Int. J. of Control, 62(3), 619-631.
25. Levine, W. S., and Athans, M. (1970). "On the determination of the optimal constant output feedback gains for linear multivariable systems." IEEE Trans. on Automatic Control, AC-15(1), 44-48.
26. Mongol, J., Bhartia, B. K., and Fujino, Y. (1996). "On linear saturation control of buildings." J. Earthquake Engrg. and Struct. Dyn., 25(12), 1353-1371.
27. ∞ optimization: a design method based on the algebraic Riccati equation." IEEE Trans. on Automatic Control, AC-32(5), 427-429.
28. Schmitendorf, W. E., and Barmish, B. R. (1980). "Null controllability of linear systems with constrained controls." SIAM J. on Control and Optimization, 18(4), 327-345.
29. Schmitendorf, W. E., Kose, I. E., Jabbari, F., and Yang, J. N. (1994a). "H, control of seismic-excited building using direct output feedback." (1994). Proc., 1st World Conf. on Struct. Control, Vol. 2, USC Publ., Los Angeles, Calif, TA1-11-TA1-20.
30. Schmitendorf, W. E., Jabbari, F, and Yang, J. N. (1994b). "Robust control techniques for buildings under earthquake excitations." J. Earthquake Engrg. and Struct. Dyn., 23(5), 539-552.
31. Sontag, E. D., and Sussmann, H. J. (1990). "Nonlinear output feedback design for linear systems with saturation controls." Proc., 29th Conf. on Decision and Control, 3414-3416.
32. Soong, T. T. (1990). Active structural control: theory and practice. Longman Scientific & Technical Publishing, New York, N.Y.
33. Spencer, B. F., Suhardjo, J., and Sain, M. K. (1994). "Frequency domain optimal control strategies for aseismic protection." J. Engrg. Mech., ASCE, 120(1), 135-158.
34. Syrmos, V. L., Abdallah, C., and Dorato, P. (1994). "Static output feedback: a survey." Proc., 33rd Conf. on Decision and Control, Inst. of Electr. and Electronic Engrs., (IEEE), New York, N.Y., 837-842.
35. Tomasula, D. P., Spencer, B. F. Jr., and Sain, M. K. (1994). "Limiting extreme structural responses using an efficient nonlinear control law." Proc., 1st World Conf. on Struct. Control, USC Publication, Los Angeles, Calif., FP4-22-FP4-31.
36. Tyan, E, and Bernstein, D. S. (1995). "Anti-windup compensator synthesis for systems with saturation actuators." Int. J. of Robust and Nonlinear Control, 5(5), 521-537.
37. Yang, J. N., Wu, J. C., and Agrawal, A. K. (1995a). "Sliding mode control of nonlinear and hysteretic structures." J. Engrg. Mech., ASCE, 121(12), 1330-1339.
38. Yang, J. N., Wu, J. C., and Agrawal, A. K. (1995b). "Sliding mode control of seismically excited linear structures." J. Engrg. Mech., ASCE, 121(12), 1386-1390.
39. ∞ and sliding mode control for seismic-excited structures." J. Struct. Engrg., ASCE, 122(1), 69-75.