Real-time trajectory optimization under input constraints for a flatness-controlled laboratory helicopter

2009 European Control Conference, ECC 2009

Volumn , Issue , 2014, Pages 2061-2066

  Graichen, Knut ^a   Kiefer, Thomas ^a   Kugi, Andreas ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; DEGREES OF FREEDOM (MECHANICS); FLIGHT SIMULATORS; GRADIENT METHODS; HELICOPTERS; NUMERICAL METHODS; OPTIMAL CONTROL SYSTEMS; TRAJECTORIES;

CONSTRAINED OPTIMAL CONTROL PROBLEMS; CONTROLLED LABORATORIES; OPTIMALITY CONDITIONS; REAL-TIME TRAJECTORIES; REFERENCE TRAJECTORIES; SATURATION FUNCTION; THREE DEGREES OF FREEDOM; TRAJECTORY OPTIMIZATION;

AIRCRAFT DETECTION;

EID: 84955184059     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.2009.7074708     Document Type: Conference Paper

References (19)

1. D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. M. Scokaert. Constrained model predictive control: stability and optimality. Automatica, 36:789-814, 2000.
2. M. Diehl, H. G. Bock, J. P. Schlöder, R. Findeisen, Z. Nagy, and F. Allgöwer. Real-time optimization and nonlinear model predictive control of processes governed by differential-algebraic equations. Journal of Process Control, 12:577-585, 2002.
3. M. B. Milam. Real-Time Trajectory Generation for Constrained Dynamical Systems. PhD thesis, CalTech, 2003.
4. J. Oldenburg and W. Marquardt. Flatness and higher order differential model representations in dynamic optimization. Comp. Chem. Eng., 26:385-400, 2002.
5. F. Chaplais and N. Petit. Inversion in indirect optimal control of multivariable systems. ESAIM: Contr. Optim. Calc. Var., 14(2):294-317, 2008.
6. P. O. M. Scokaert, D. Q. Mayne, and J. B. Rawlings. Suboptimal model predictive control (feasibility implies stability). IEEE Trans. Autom. Contr., 44:648-654, 1999.
7. M. Diehl, H. G. Bock, J. P. Schlöder. A real-time iteration scheme for nonlinear optimization in optimal feedback control. SIAM Journal on Control and Optimization, 43, pp. 1714-1736, 2005.
8. D. DeHaan, M. Guay. A real-time framework for model-predictive control of continuous-time nonlinear systems. IEEE Trans. Autom. Contr., 52:2047-2057, 2007.
9. K. Graichen, N. Petit. Constructive methods for initialization and handling mixed state-input constraints in optimal control. J. Guid. Contr. Dyn., 31(5), pp. 1334-1343, 2008.
10. T. Kiefer, A. Kugi, and W. Kemmetmüller. Modeling and flatness-based control of a 3dof helicopter laboratory experiment. Proc. 6th IFAC Symposium "Nonlinear Control Systems" (NOLCOS), pages 207-212, Stuttgart (Germany), 2004.
11. M. Fliess, J. Levine, Ph. Martin, and P. Rouchon. Flatness and defect of non-linear systems: Introductory theory and examples. Intern. J. Contr., 61, pp. 1327-1361, 1995.
12. E. B. Lee and L. Markus. Foundations of Optimal Control Theory, Wiley, New York, 1967.
13. A. E. Bryson and Y.-C. Ho. Applied Optimal Control. Ginn & Company, Waltham (MA), 1969.
14. J. C. Dunn. On L2 sufficient conditions and the gradient projection method for optimal control problems. SIAM J. Contr. Optim., 34:1270-1290, 1996.
15. M. S. Nikol'skii. Convergence of the gradient projection method in optimal control problems. Comp. Math. Model., 18:148-156, 2007.
16. Quanser Inc. 3DOF helicopter system: product information. Ontario, Canada, www. quanser. com.
17. K. Graichen. Feedforward Control Design for Finite-Time Transition Problems of Nonlinear Systems with Input and Output Constraints. Doctoral Thesis, Universität Stuttgart. Shaker Verlag, Aachen (Germany), 2006. Available at http://elib. unistuttgart. de/opus/volltexte/2007/3004.
18. K. Graichen, N. Petit, and A. Kugi. Transformation of optimal control problems with a state constraint avoiding interior boundary conditions. Proc. 47th IEEE CDC, Cancun (Mexico), pp. 913-920, 2008.
19. K. Graichen and N. Petit. Incorporating a class of constraints into the dynamics of optimal control problems. Optimal Control Applications and Methods (in press), 2009.