Research on gain scheduling

Automatica

Volumn 36, Issue 10, 2000, Pages 1401-1425

  Rugh, Wilson J ^a,c,d   Shamma, Jeff S ^b,e,f  

^a Johns Hopkins University   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c PENNSYLVANIA STATE UNIVERSITY   (United States)

^d NORTHWESTERN UNIVERSITY   (United States)

^e UNIVERSITY OF MINNESOTA   (United States)

^f UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Gain scheduling; Linear parameter varying systems; Nonlinear control systems

Indexed keywords

EID: 0001761076     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(00)00058-3     Document Type: Short Survey

References (69)

1. Apkarian, P. (1997). On the discretization of LMI-synthesized linear parameter-varying controllers. Automatica, 55(4), 655-661.
2. Apkarian, P., & Adams, R. (1998). Advanced gain-scheduling techniques for uncertain systems. IEEE Transactions on Control Systems Technology, 6(1), 21-32.
3. ∞ controllers. IEEE Transactions on Automatic Control, AC-40(5), 853-864.
4. Apkarian, P., Gahinet, P., & Becker, G. (1995). Self-scheduled H-infinity control of linear parameter-varying systems: A design example. Automatica, 31(9), 1251-1261.
5. Åström, K. J., & Wittenmark, B. (1995). Adaptive control (2nd ed.). Reading, MA: Addison-Wesley.
6. Bailey, R. L., Cederquist, A. L., Florek, J. J., Hart, D. L., & Meitzler, A. H. (1978). An IIEC-2 low-emission concept car. SAE Paper No. 780206, Society of Automotive Engineers.
7. Balas, G., Fialho, I., Lee, L., Nalbantoglu, V., Packard, A., Tan, W., Wemhoff, E., Wolodkin, G., & Wu, F. (1997). Theory and application of linear parameter varying control techniques. Workshop notes: American Control Conference, June.
8. Bamieh, B., & Giarré, L. (1999). Identification of linear parameter varying models. Proceedings of the 38th IEEE conference on decision and control, Phoenix, AZ, December.
9. Becker, G., & Packard, A. (1994). Robust performance of linear parametrically varying systems using parametrically-dependent linear feedback. Systems & Control Letters, 23, 205-215.
10. Bequette, W., & Doyle, F. J. (2000). A review of gain scheduled control in chemical process systems, submitted for publication.
11. Boyd, S., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994). Linear matrix inequalities in system and control theory. Philadelphia, PA: SIAM.
12. Buschek, H. (1997). Robust autopilot design for future missile systems. Proceedings of the AIAA guidance, navigation, and control conference, New Orleans, LA. AIAA Paper No. A97-37172.
13. Canale, R. P., Winegarden, S. R., Carlson, C. R., & Miles, D. L. (1978). General motors phase II catalyst system. SAE Paper No. 780205, Society of Automotive Engineers.
14. Cloutier, J. R., D'Souza, C. N., & Mracek, C. P. (1996a). Nonlinear regulation and nonlinear H-infinity control via the state-dependent Riccati equation technique, Part 1, theory. Proceedings of the first international conference on nonlinear problems in aviation and aerospace. Daytona Beach, FL (pp. 117-130).
15. Cloutier, J. R., D'Souza, C. N., & Mracek, C. P. (1996b). Nonlinear regulation and nonlinear H-infinity control via the state-dependent riccati equation technique, Part 2, examples. Proceedings of the first international conference on nonlinear problems in aviation and aerospace, Daytona Beach, FL (pp. 130-147).
16. Cook, J. A., Grizzle, J. W., & Sun, J. (1996). Engine control. In W.S. Levine, The control handbook (pp. 1261-1274) New York: IEEE Press (Chapter 74.1).
17. Desoer, C. A. (1969). Slowly varying system ẋ = A(t)x. IEEE Transactions on Automatic Control, AC-14(6), 780-781.
18. Doyle, J. C., Wall, J. E., & Stein, G. (1982). Performance and robustness analysis for structured uncertainty. Proceedings of the 21st IEEE conference on decision and control, December (pp. 629-636).
19. Draper, C. S. (1955). Flight control. Journal of the Royal Aeronautical Society, 59, 451-477.
20. Gregory, P. C. (Ed.) (1959). Proceedings of the self adaptive flight control systems symposium, Wright-Patterson AFB. OH. WADC Technical Report 59-49.
21. Gumbleton, J. J., & Bowler, L. L. (1982). General motors computer command control system development. SAE Paper No. 82091, Society of Automotive Engineers.
22. Howard, R. W. (1973). Automatic flight controls in fixed wing aircraft: The first 100 years. Aeronautical Journal, 77, 533-562.
23. Huang, Y., & Lu, W.-M. (1996). Nonlinear optimal control: Alternatives to Hamilton-Jacobi equation. Proceedings of the 35th Conference on Decision and Control, Kobe, Japan (pp. 3942-3947).
24. Hyde, R. A., & Glover, K. (1993). The application of scheduled H-infinity controllers to a vstol aircraft. IEEE Transactions on Automatic Control, 38(7), 1021-1039.
25. Källström, C. G., Åström, K. J., Thorell, N. E., Eriksson, J., & Sten, L. (1979). Adaptive autopilots for tankers. Automatica, 15, 241-254.
26. Kamen, E. W., & Khargonekar, P. P. (1984). On the control of linear systems whose coefficients are functions of parameters. IEEE Transactions on Automatic Control, AC-29(1), 25-33.
27. Kaminer, I., Pascoal, A., Hallberg, E., & Silvestre, C. (1998). Trajectory tracking for autonomous vehicles: An integrated approach to guidance and control. Journal of Guidance, Control, and Dynamics, 21(1), 29-38.
28. Kaminer, I., Pascoal, A. M., Khargonekar, P. P., & Coleman, E. (1995). A velocity algorithm for the implementation of gain-scheduled controllers. Automatica, 31(8), 1185-1191.
29. Kelemen, M. (1986). A stability property. IEEE Transactions on Automatic Control, 31(8), 766-768.
30. Kellett, M. G. (1991). Continuous scheduling of H-infinity controllers for a ms760 paris aircraft. In P.H. Hammond, Robust control system design using H-infinity and related methods (pp. 197-223). London, England: Institute of Measurement and Control.
31. Kelly, J. H., & Evers, J. H. (1997). An interpolation strategy for scheduling dynamic compensators. Proceedings of the AIAA guidance, navigation, and control conference, New Orleans, LA. AIAA Paper No. A97-37173.
32. Khalil, H. K. (1996). Nonlinear systems (2nd ed.). Upper Saddle River, NJ: Prentice-Hall.
33. Khalil, H. K., & Kokotovic, P. V. (1991). On stability properties of nonlinear systems with slowly varying inputs. IEEE Transactions on Automatic Control, 36(2), 229.
34. Lawrence, D. A., & Rugh, W. J. (1990). On a stability theorem for nonlinear systems with slowly varying inputs. IEEE Transactions on Automatic Control, 35(7), 860-864.
35. Lawrence, D. A., & Rugh, W. J. (1995). Gain scheduling dynamic linear controllers for a nonlinear plant. Automatica, 31(3), 381-390.
36. Leith, D. J., & Leithead, W. E. (1996). Appropriate realization of gain-scheduled controllers with application to wind turbine regulation. International of Control, 65(2), 223-248.
37. Leith, D. J., Leithead, W. E., Lawrence, D. A., & Rugh, W. J. (1998). Comments on Gain scheduling dynamic linear controllers for a nonlinear plant. Automatica, 34(8), 1041-1043.
38. Leonessa, A., Haddad, W. M., & Chellaboina, V. (1988). Nonlinear system stabilization via stability-based switching. Proceedings of the 37th IEEE conference on decision and control, Tampa, FL (pp. 2983-2996).
39. Masaki, K., Aono, S., Akaeda, M., & Minami, H. (1978). Development of the Nissan electronically controlled carburetor system. SAE Paper No. 780204, Society of Automotive Engineers.
40. McConley, M. W., Appleby, B. D., Dahleh, M. A., & Feron, E. (1997). Control Lyapunov function approach to robust stabilization of nonlinear systems. Proceedings of the American control conference, Albuquerque, NM, June (pp. 416-419).
41. McRuer, D., & Graham, D. (1981). Eighty years of flight control: triumphs and pitfalls of the systems approach. Journal of Guidance and Control, 4(4), 353-362.
42. Nichols, R. A., Reichert, R. T., & Rugh, W. J. (1993). Gain scheduling for H-infinity controllers: A flight control example. IEEE Transactions on Control Systems Technology, 1(2), 69-79.
43. Niemann, H., & Stoustrup, J. (1999). An architecture for implementation of multivariable controllers. Proceedings of the American control conference, San Diego, CA, June (pp. 4029-4032).
44. Osder, S. S. (1996). Evolution of automatic flight controls. Material from a short course at Honeywell Air Transport Division.
45. Packard, A. (1994). Gain-scheduling via linear fractional transformations. Systems and Control Letters, 22, 79-92.
46. Packard, A., Zhou, K., Pandey, P., Leonhardson, J., & Balas, G. (1992). Optimal, constant I/O similarity scaling for full-information and state-feedback control problems. Systems & Control Letters, 19, 217-280.
47. Paddison, F. C. (1982). The Talos control system. Johns Hopkins APL Technical Digest, 3(2), 154-156.
48. Reichert, R. (1992). Dynamic scheduling of modern-robust-control autopilot designs for missiles. IEEE Control Systems Magazine, 12(5), 35-42.
49. Rivard, J. G. (1973). Closed-loop electronic fuel injection control for the internal combustion engine. SAE Paper No. 73005, Society of Automotive Engineers.
50. Rugh, W. J. (1983). Linearization about constant operating points: An input-output viewpoint. Proceedings of the IEEE conference on decision and control, San Antonio, TX (pp. 1165-1169).
51. Rugh, W. J. (1991). Analytical framework for gain-scheduling. IEEE Control Systems Magazine, 11(1), 79-84.
52. Scherer, C., Gahinet, P., & Chilali, M. (1997). Multiobjective output-feedback control via LMI optimization. IEEE Transactions on Automatic Control, AC-42(7), 896-911.
53. Seiter, R. E., & Clark, R. J. (1978). Ford three-way catalyst and feedback fuel control system. SAE Paper No. 780203, Society of Automotive Engineers.
54. Shahruz, S. M., & Behtash, S. (1992). Design of controllers for linear parameter-varying systems by the gain scheduling technique. Journal of Mathematical Analysis and Applications, 168(1), 195-217.
55. Shamma, J. S., & Athans, M. (1990). Analysis of nonlinear gain scheduled control systems. IEEE Transactions on Automatic Control, AC-35(8), 898-907.
56. Shamma, J. S., & Athans, M. (1991). Guaranteed properties of gain scheduled control of linear parameter-varying plants. Automatica, 27(3), 898-907.
57. Shamma, J. S., & Cloutier, J. R. (1992). Trajectory scheduled missile autopilot design. Proceedings of the first IEEE conference on control applications, Dayton, OH, September.
58. Shamma, J. S., & Xiong, D. (1999). Set-valued methods for linear parameter varying systems. Automatica, 35(6), 1081-1089.
59. Stein, G., Hartmann, G. L., & Hendrick, R. C. (1977). Adaptive control laws for F-8 flight test. IEEE Transactions on Automatic Control, 22(5), 758-767.
60. Stilwell, D. J., & Rugh, W. J. (1999). Interpolation of observer state feedback controllers for gain scheduling. IEEE Transactions on Automatic Control, 44(6), 1225-1229.
61. Stilwell, D. J., & Rugh, W. J. (2000). Stability preserving interpolation methods for the synthesis of gain scheduled controllers. Automatica, 36(5), 665-671.
62. Sureshbabu, N., & Rugh, W. J. (1995). Output regulation with derivative information. IEEE Transactions on Automatic Control, 40(10), 1755-1766.
63. Tan, H., & Rugh, W. J. (1998). Nonlinear overtaking optimal control: Sufficiency, stability, and approximation. IEEE Transactions on Automatic Control, 43(12), 1703-1718.
64. Tu, K.-H., & Shamma, J. S. (1998). Nonlinear gain-scheduled control design using set-valued methods. Proceedings of the American control conference, Philadelphia, PA.
65. Waymeyer, W. K. (1997). History information on gain scheduling. Personal communication.
66. Wu, F., & Grigoriadis, K. M. (1999). LPV-based control of systems with amplitude and rate actuator saturation constraints. Proceedings of the American control conference, San Diego, CA, June (pp. 3191-3195).
67. 2-norm control for LPV systems with bounded parameter variation rates. International Journal of Control, 5(9/10), 983-998.
68. ∞ control with parametric Lyapunov functions. Systems & Control Letters, 30, 57-69.
69. Zhou, K., Doyle, J. C., & Glover, K. (1996). Robust and optimal control. Upper Saddle River, NJ: Prentice-Hall.