Compensation for distributed hysteresis operators in active structural systems

Journal of Guidance, Control, and Dynamics

Volumn 20, Issue 6, 1997, Pages 1133-1140

  Kurdila, A J ^a,b,c   Webb, G ^a,b,c  

^a TEXAS A AND M UNIVERSITY   (United States)

^b Department of Aerospace Engineering ^*  (United States)

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; APPROXIMATION THEORY; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; HYSTERESIS; IDENTIFICATION (CONTROL SYSTEMS); INTEGRODIFFERENTIAL EQUATIONS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBABILITY;

ACTIVE STRUCTURAL SYSTEMS; DISTRIBUTED HYSTERESIS OPERATORS; GALERKIN APPROXIMATION METHODS; HYSTERESIS KERNELS; KRASNOSEL'SKII POKROVSKII OPERATOR; PREISACH INTEGRAL HYSTERESIS OPERATOR;

CONTROL SYSTEM SYNTHESIS;

EID: 0031274473     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/2.4168     Document Type: Article

References (23)

1. Hughes, D., and Wen, J., "Preisach Modeling of Piezoceramic Hysteresis; Independent Stress Effect," Smart Structure and Materials 1995: Mathematics and Control in Smart Structures, edited by V. V. Varadan, Springer-Verleg, Berlin, 1995, pp. 328-336.
2. Tao, G., and Kokotovic, P., Adaptive Control of Systems with Actuator and Sensor Nonlinearities, Wiley, New York, 1996, pp. 53-90, 147-156.
3. Kamath, G., Hurt, M., and Wereley, N., "Analysis and Testing of Bingham Plastic Behavior in Semi-Active Electrorheological Fluid Dampers," Smart Material Structures, Vol. 5, No. 4, 1996, pp. 576-590.
4. Lagoudas, D., Bo, Z., and Qidwai, M., "A Unified Thermodynamic Constitutive Model for SMA and Finite Element Analysis of Active Metal Matrix Composites," Mechanics of Composite Structures, Vol. 3, No. 2, 1996, pp. 153-179.
5. Banks, H., Kurdila, A., and Webb, G., "Identification of Hysteretic Control Influence Operators Representing Smart Actuators, Part (i): Formulation," Journal of Mathematical Problems in Engineering (submitted for publication).
6. Banks, H., Kurdila, A., and Webb, G., "Identification of Hysteretic Control Influence Operators Representing Smart Actuators, Part (ii): Convergent Approximations," Journal of Mathematical Problems in Engineering (submitted for publication).
7. Tanaka, K., Nishimura, F., and Tobushi, H., "Transformation Start Lines in Tini and Fe-Based Shape Memory Alloys After Incomplete Transformations Induced by Mechanical and/or Thermal Loads," Mechanics of Materials, Vol. 19, No. 2, 1991, pp. 271-280.
8. Liang, C., and Rogers, C., "The Multi-Dimensional Consitutive Relations of Shape Memory Alloys," AIAA Paper 91-1165, Nov. 1991.
9. Ivshin, Y., and Pence, T., "Constitutive Model for Hysteretic Phase Transition Behaviour," International Journal of Engineering Science, Vol. 32, No. 4, 1994, pp. 681-704.
10. Coleman, B., and Hodgon, M., "A Constitutive Relation for Rate-Independent Hysteresis in Ferromagnetically Soft Materials," International Journal of Engineering Science, Vol. 24, No. 6, 1986, pp. 897-919.
11. Coleman, B., and Hodgon, M., "On a Class of Constitutive Relations for Ferromagnetic Hysteresis," Archives for Rational Mechanics and Analysis, Vol. 99, No. 4, 1987, pp. 375-396.
12. Krasnoselskii, M., and Pokrovskii, A., Systems with Hysteresis, Nauka, Moscow, 1983, pp. 6-20.
13. Mayergoyz, I., Mathematical Models of Hysteresis, Springer-Verlag, Berlin, 1991, pp. 1-63.
14. Visintin, A., Differential Models of Hysteresis, Springer-Verlag, Berlin, 1994, pp. 59-96.
15. Brokate, M., "Hysteresis Operators," Phase Transitions and Hysteresis, edited by A. Visintin, Vol. 1584, Lecture Notes in Mathematics, Springer-Verlag, Berlin, 1994, pp. 1-38.
16. Macki, J., Nistri, P., and Zecca, P., "Mathematical Models for Hysteresis," SIAM Review, Vol. 35, No. 1, 1993, pp. 94-123.
17. Ioannou, P., and Sun, J., Robust Adaptive Control, Prentice-Hall, Englewood Cliffs, NJ, 1996, pp. 313-372, 375-384, 652, 677, 678.
18. Sastry, S., and Bodson, M., Adaptive Control, Prentice-Hall, Englewood Cliffs, NJ, 1989, pp. 30-86.
19. Tao, G., and Kokotovic, P., "Adaptive Control of Plants with Unknown Hysteresis," IEEE Transactions on Automatic Control, Vol. 40, No. 2, 1995, pp. 200-212.
20. Ditman, J., Bergman, L., and Tsao, T.-C., "The Design of Extended Bandwidth Shape Memory Alloy Actuators," AIAA Paper 94-1757, April 1994.
21. Baz, A., Imam, K., and McCoy, J., "Active Vibration Control of Flexible Beams Using Shape Memory Actuators," Journal of Sound and Vibration, Vol. 140, No. 4, 1991, pp. 437-456.
22. Banks, H., Smith, R., and Wang, Y., Smart Material Structures Modeling, Estimation and Control, Wiley, New York, 1996, pp. 99-113.
23. Brenner, S., and Scott, L., The Mathematical Theory of Finite Element Methods, Springer-Verlag, New York, 1994, pp. 215-225.