Input shaping design using sequential linear programming (SLP) for non-linear systems

Proceedings of the American Control Conference

Volumn , Issue , 2008, Pages 3275-3280

  Singla, Puneet ^a   Singh, Tarunraj ^a   Manyam, S G ^a  

^a University at Buffalo ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; DYNAMIC PROGRAMMING; LINEAR SYSTEMS; LINEARIZATION; MODEL STRUCTURES; NONLINEAR SYSTEMS; PARTICLE SIZE ANALYSIS; PERTURBATION TECHNIQUES;

BENCH-MARK PROBLEMS; BOUNDARY CONDITIONING; CONTROL CONSTRAINTS; INPUT SHAPING; LINEAR PROGRAMMING PROBLEMS; LINEARIZED SYSTEMS; NOMINAL TRAJECTORIES; OPTIMAL CONTROL; OPTIMAL CONTROLLERS; SAMPLING INTERVALS; SEQUENTIAL LINEAR PROGRAMMING; SEQUENTIAL OPTIMIZATION; SYSTEM MODELLING; TIME VARYING;

LINEAR PROGRAMMING;

EID: 52449089167     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2008.4586997     Document Type: Conference Paper

References (16)

1. N. Singer and W. P. Seering. Pre-shaping command inputs to reduce system vibration. 112(1):76-82, 1990.
2. S. Derezinski W. Singhose and N. Singer. Extra-insensitive input shapers for controlling flexible spacecraft. 19(2):385-391, 1996.
3. T. Singh and S. R. Vadali. Robust time-optimal control: A frequency domain approach. Journal of Guidance, Control and Dynamics, 17(2):346-353, Mar. 1994.
4. T. Singh W. Singhose and W. Seering. On-off control with specified fuel usage. ASME Journal of Dynamic Systems, Measurement and Control, 121(2):206-212, Apr. 1999.
5. B. J. Driessen. On-off minimum-time control with limited fuel usage: Near global optima via linear programming. Optimal Control Applications and Methods, 27(3):161-168, 2006.
6. J-J. Kim and T. Singh. Desensitized control of vibratory systems with friction: linear programming approach. Optimal Control: Applications and Methods, 25(4):165-180, July 2004.
7. T. Conord and T. Singh. Robust input shaper design using linear matrix inequalities.
8. A. E. Bryson and R. A. Mills. Linear-quadratic-gaussian controllers with specified parameter robustness. 21(1):11-18, February 1998.
9. T. Singh S.W. Liu. Robust time-optimal control of nonlinear structures with parameter uncertainties. ASME Journal of Dynamic Systems, Measurement and Control, 119(4):743-748, Dec. 1997.
10. th IEEE Conference on Decision and Control (CDC), 2007.
11. P. E. Gill, W. Murray, and M. A. Saunders. SNOPT: An SQP algorithm for large-scale constrained optimization. j-SIAM-JOPT, 12(4):979-1006, 2002.
12. B. Garifinkel. A solution of the goddard problem. Journal of SIAM Control, 1(3):349-368, 1963.
13. H. Munick. Goddard problem with bounded thrust. American Institute of Aeronautics and Astronautics Journal, 3(7):1283-1285, 1965.
14. H. S. Tsien and R. C. Evans. Optimum thrust programming for a sounding rocket. Journal of the American Rocket Society, 21(5):99-107, 1951.
15. E. Dolan, J. J. Moré, and T. S. Munson. Benchmarking optimization software with cops 3.0. Technical Report ANL/MCS-273, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL, 2004.
16. K. M. Lynch. Optimal control of the thrusted skate. Automatica, 39:173-176, 2003.