State-Dependent Riccati Equation (SDRE) control: A survey

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 17, Issue 1 PART 1, 2008, Pages

  Çimen, Tayfun ^a  

^a NONE

Author keywords

Asymptotic stabilization; Nonlinear system control; Optimal control theory

Indexed keywords

ASYMPTOTIC STABILIZATION; AUTOMATIC CONTROL; CONTROL CONSTRAINT; DESIGN FLEXIBILITY; DESIGN METHOD; DESIGN METHODOLOGY; EXISTENCE OF SOLUTIONS; NON-LINEAR CONTROLLERS; NON-LINEAR OPTIMAL CONTROL; NONLINEAR REGULATION; NONLINEAR SYSTEM CONTROL; OPTIMAL CONTROL THEORY; OPTIMALITY; REAL-WORLD APPLICATION; SDRE CONTROL; SIMPLE ALGORITHM; STATE-DEPENDENT RICCATI EQUATION; THEORETICAL RESULT;

ASYMPTOTIC ANALYSIS; AUTOMATION; CONTROL; CONTROL THEORY; DESIGN; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; OPTIMIZATION; RICCATI EQUATIONS; STABILIZATION; SYSTEM THEORY;

CONTROLLERS;

EID: 70349376361     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20080706-5-KR-1001.3557     Document Type: Conference Paper

References (52)

1. Anderson, B.D.O. and J.B. Moore (1990). Optimal Control: Linear Quadratic Methods. Prentice-Hall, Englewood Cliffs NJ.
2. Banks, H.T. S.C. Beeler, G.M. Kepler and H.T. Tran (2002). Reduced order modeling and control of thin film growth in an HPCVD reactor. SIAM Journal of Applied Mathematics, 62, 1251-1280.
3. Bogdanov, A. and E. Wan (2007). State-dependent Riccati equation control for Small Autonomous Helicopters. AIAA Journal of Guidance, Control, and Dynamics, 30, 47-60. (Pubitemid 46219871)
4. 'imen, T., D. McCaffrey, R.F. Harrison and S.P. Banks (2007). Asymptotically optimal nonlinear filtering. In: Proc. of the IFAC Symposium on Automatic Control in Aerospace, Toulouse, France.
5. 'imen, T. (to appear). Development and validation of a mathematical model for control of constrained nonlinear oil tanker motion. Mathematical and Computer Modelling of Dynamical Systems.
6. Cloutier, J.R. and J.C. Cockburn (2001). The state-dependent nonlinear regulator with state constraints. In: Proc. of the American Control Conference, Arlington, VA, 390-395.
7. Cloutier, J.R., C.N. D'Souza and C.P. Mracek (1996). Nonlinear regulation and nonlinear control via the state-dependent Riccati equation technique: Part 1, Theory; Part 2, Examples. In: Proc. of the First International Conference on Nonlinear Problems in Aviation and Aerospace, Daytona Beach, FL, 117-141.
8. Cloutier, J.R. and D.T. Stansbery (1999a). All-aspect acceleration-limited homing guidance. In: Proc. of the AIAA Guidance, Navigation, and Control Conference, Portland, OR.
9. Cloutier, J.R. and D.T. Stansbery (1999b). Control of a continuously stirred tank reactor using an asymmetric solution of the state-dependent Riccati equation. In: Proc. of the IEEE Conference on Control Applications, Hawaii, HI, 893-898.
10. Cloutier, J.R. and D.T. Stansbery (2001). Nonlinear, hybrid bank-to-turn/skid-to-turn autopilot design. In: Proc. of the AIAA Guidance, Navigation, and Control Conference, Montreal, Canada.
11. Cloutier, J.R. and D.T. Stansbery (2002a). The capabilities and art of state-dependent Riccati equation-based design. In: Proc. of the American Control Conference, Anchorage, AK, 86-91.
12. Cloutier, J.R. and D.T. Stansbery (2002b). Dynamic conversion of flight path angle commands to body attitude commands. In: Proc. of the American Control Conference, Anchorage, AK, 221-225.
13. Cloutier, J.R., D.T. Stansbery and M. Sznaier (1999). On the recoverability of nonlinear state feedback laws by extended linearization techniques. In: Proc. of the American Control Conference, San Diego, CA, 1515-1519.
14. Cloutier, J.R. and P.H. Zipfel (1999). Hypersonic guidance via the state-dependent Riccati equation control method. In: Proc. of the IEEE Conference on Control Applications, Hawaii, HI, 219-224.
15. Day, M.V. (1998). On Lagrange manifolds and viscosity solutions. Journal of Mathematical Systems, Estimation and Control, 8, 369-372.
16. Doyle, J.C., K. Glover, P.P. Khargonekar and B.A. Francis (1989). State space solutions to standard and control problems. IEEE Transactions on Automatic Control, AC-34, 831-847.
17. Doyle, J., Y. Huang, J. Primbs, R. Freeman, R. Murray, A. Packard and M. Krstic (1997). Nonlinear control: Comparisons and case studies. Notes from the Nonlinear Control Workshop Conducted at the American Control Conference, Albuquerque, NM.
18. Erdem, E.B. and A.G. Alleyne (2001). Experimental real-time SDRE control of an underactuated robot,. In: Proc. of the 40th IEEE Conference on Decision and Control, Piscataway, NJ, 219-224.
19. Erdem, E.B. and A.G. Alleyne (2004). Design of a class of nonlinear controllers via state dependent Riccati equations. IEEE Transactions on Control Systems Technology, 12, 2986-2991.
20. Friedland, B. (1996). Advanced Control System Design, 110-112. Prentice-Hall, Englewood Cliffs NJ.
21. Friedland, B. (1997). Feedback control of systems with parasitic effects. In: Proc. of the American Control Conference, Albuquerque, NM, 937-941.
22. Friedland, B. (1998). On controlling systems with state-variable constraints. In: Proc. of the American Control Conference, Philadelphia, PA, 2123-2127.
23. Friedland, B. (2007). Quasi-optimum control and the SDRE method. In: Proc. of the IFAC Symposium on Automatic Control in Aerospace, Toulouse, France.
24. Hammett, K.D., C.D. Hall and D.B. Ridgely (1998). Controllability issues in nonlinear state-dependent Riccati equation control. AIAA Journal of Guidance, Control, and Dynamics, 21, 767-773.
25. Huang, Y. and W.-M. Lu (1996). Nonlinear optimal control: alternatives to Hamilton-Jacobi equation. In: Proc. of the 35th IEEE Conference on Decision and Control, Kobe, Japan, 3942-3947.
26. Hull, R.A., J.R. Cloutier, C.P. Mracek and D.T. Stansbery (1998). State-dependent Riccati equation solution of the toy nonlinear optimal control problem. In: Proc. of the American Control Conference, Philadelphia, PA, 1658-1662.
27. Langson, W. and A. Alleyne (2002). A stability result with application to nonlinear regulation. ASME Journal of Dynamic Systems, Measurement, and Control, 124, 452-456. (Pubitemid 40001309)
28. Lukes, D.L. (1969). Optimal regulation of nonlinear dynamical systems. SIAM Journal on Control, 7, 74-100.
29. McCaffrey, D. and S.P. Banks (2001). Lagrangian manifolds and asymptotically optimal stabilizing feedback control. Systems and Control Letters, 43, 219-224.
30. Menon, P.K., T. Lam, L.S. Crawford and V.H.L. Cheng (2002). Real-time computational methods for SDRE nonlinear control of missiles. In: Proc. of the American Control Conference, Anchorage, AK, 232-237.
31. Menon, P.K. and E.J. Ohlmeyer (2004). Computer-aided synthesis of nonlinear autopilots for missiles. Nonlinear Studies, 11, 173-198.
32. Merttop'uoglu, A.O., A. Kahvecioglu and T. 'imen (2007). SDRE control of the control actuation system of a guided missile. In: Proc. of the IFAC Symposium on Automatic Control in Aerospace, Toulouse, France.
33. Mracek, C.P. and J.R. Cloutier (1996). Missile longitudinal autopilot design using the state-dependent Riccati equation method. In: Proc. of the International Conference on Nonlinear Problems in Aviation and Aerospace, Daytona Beach, FL, 387-396.
34. Mracek, C.P. and J.R. Cloutier (1997). Full envelope missile longitudinal autopilot design using the statedependent Riccati equation method. In: Proc. of the AIAA Guidance, Navigation, and Control Conference, New Orleans LA, 1697-1705.
35. Mracek, C.P. and J.R. Cloutier (1998). Control designs for the nonlinear benchmark problem via the statedependent Riccati equation method. International Journal of Robust and Nonlinear Control, 8, 401-433.
36. Mracek, C.P. (2007). SDRE autopilot for dual controlled missiles. In: Proc. of the IFAC Symposium on Automatic Control in Aerospace, Toulouse, France.
37. Palumbo, N.F. and T.D. Jackson (1999). Integrated missile guidance and control: A state-dependent Riccati differential equation approach. In: Proc. of the IEEE Conference on Control Applications, Hawaii, HI, 243-248. (Pubitemid 30515761)
38. Parrish, D.K. and D.B. Ridgely (1997a). Attitude control of a satellite using the SDRE method. In: Proc. of the American Control Conference, Albuquerque, NM, 942-946.
39. Parrish, D.K. and D.B. Ridgely (1997b). Control of an artificial human pancreas using the SDRE method. In: Proc. of the American Control Conference, Albuquerque, NM, 1059-1060.
40. Pearson, J.D. (1962). Approximation methods in optimal control. Journal of Electronics and Control, 13, 453-469.
41. Qu, Z., J.R. Cloutier and C.P. Mracek (1996). A new suboptimal nonlinear control design technique: SDARE. In: Proc. of the 13th IFAC World Congress, San Francisco, USA, 365-370.
42. Qu, Z. and J.R. Cloutier (2000). A new suboptimal control for cascaded nonlinear systems. In: Proc. of the American Control Conference, Chicago, IL, 3903-3907.
43. Salamci, M.U. and B. G'kbilen (2007). SDRE missile autopilot design using sliding mode control with moving sliding surfaces. In: Proc. of the IFAC Symposium on Automatic Control in Aerospace, Toulouse, France.
44. Shamma, J.S. and J.R. Cloutier (2003). Existence of SDRE stabilizing feedback. IEEE Transactions on Automatic Control, 48, 513-517.
45. Singh, S.N. and W. Yim (2003). State feedback control of an aeroelastic system with structural nonlinearity. Aerospace Science and Technology, 7, 23-31.
46. Stansbery, D.T. and J.R. Cloutier (2000). Position and attitude control of a spacecraft using the state-dependent Riccati equation technique. In: Proc. of the American Control Conference, Chicago, IL, 1867-1871.
47. Sznaier, M., J. Cloutier, R. Hull, D. Jacques and C. Mracek (2000). Receding horizon control Lyapunov function approach to suboptimal regulation of nonlinear systems. AIAA Journal of Guidance, Control, and Dynamics, 23, 399-405.
48. Tadi, M. (2003). State-dependent Riccati equation for control of aeroelastic flutter. AIAA Journal of Guidance, Control, and Dynamics, 26, 914-917.
49. Vaddi, S.S., P.K. Menon and E.J. Ohlmeyer (2007). Numerical SDRE approach for missile integrated guidance - control. In: Proc. of the AIAA Guidance, Navigation, and Control Conference, South Carolina.
50. van der Schaft, A.J. (1991). On a state space approach to nonlinear control. Systems and Control Letters, 16, 1-8.
51. Wernli, A. and G. Cook (1975). Suboptimal control for the nonlinear quadratic regulator problem. Automatica, 11, 75-84.
52. Yu, J., A. Jadbabaie, J. Primbs and Y. Huang (2001). Comparison of nonlinear control design techniques on a model of the Caltech ducted fan. Automatica, 37, 1971-1978. (Pubitemid 32951293)