Parametric approach to optimal nonlinear control problem using orthogonal expansions

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 38, Issue 1, 2005, Pages 556-561

  Tomas Rodriguez, M ^a   Navarro Hernande, C ^a   Banks, S P ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

Linear time varying systems; Nonlinear control systems; Optimal control; Orthonormal basis

Indexed keywords

LINEAR ALGEBRA; LINEAR EQUATIONS; NONLINEAR CONTROL SYSTEMS; NONLINEAR EQUATIONS; OPTIMAL CONTROL SYSTEMS;

LINEAR ALGEBRAIC EQUATION; LINEAR TIME VARYING; LINEAR TIME-VARYING SYSTEMS; NONLINEAR OPTIMAL CONTROL PROBLEMS; OPTIMAL CONTROLS; OPTIMAL NONLINEAR CONTROL; ORTHOGONAL EXPANSION; ORTHONORMAL BASIS;

TIME VARYING CONTROL SYSTEMS;

EID: 79960714375     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20050703-6-cz-1902.00748     Document Type: Conference Paper

References (14)

1. Banks S.P., M. Tomas-Rodriguez, (2001), Optimal control of nonlinear systems by orthogonal expansion, Proceedings of invited papers, ICOTA, (International Conferences of Optimal Techniques and Applications), Hong-Kong, China.
2. Banks S.P., M. Tomas-Rodriguez, (2002), Frequency analysis of nonlinear dynamical systems and the control of vibration, Archives of Control Sciences, 13 (XLIX), 269-279.
3. Cimen, T., Banks S.P., (2004), Nonlinear optimal tracking control with applications to supertankers for autopilot design., Automatica, 23, No. 11, 1845-1863.
4. Jaddu, H. (2002), Spectral method for constrained linear-quadratic optimal control, Mathematics and Computers in Simulations, 58, 159-169.
5. Jianhua Zheng, Banks S.P., Hugo Alleyne (2005), Optimal attitude control for three-axis stabilized flexible spacecraft., Acta Astronautica, 56, 519-528.
6. Navarro Hernandez, C.; Banks, S.P. and Aldeen, M. (2003) Observer design for nonlinear systems using linear approximations, IMA Journal of Mathematical Control and Information. 20, 359-370.
7. Owens D.H., M. Tomas-Rodriguez, J.J. Hatonen, (2003), Lyapunov analysis for nonlinear systems in MIMO multiperiodic Repetitive control systems, DCDIS, invited presentation, Guelph, Ontario, Canada.
8. Salamci, M.U., Ozgoren, M.K., Banks, S.P., (2000), Sliding mode control with Optimal Sliding Surfaces for missile Autopilot design., Journal of Guidance, Control and Dynamics, vol. 23, No. 4, July-August 2000.
9. Sirisena, H.R., Chou, F.S. (1981), State parametrization approach to the solution of optimal control problems, Optimal Control Appl. Methods, 2, 289-298.
10. Tomas-Rodriguez, M. and Banks, S.P. (2003), Linear approximations to Nonlinear Dynamical Systems with Applications to Stability and Spectral Theory, IMA J. Math Cont and Inf, 20, 89-103.
11. Tomas-Rodriguez M., S.P. Banks, J.J. Hatonen, H.Stc. K. Alleyne, (2004), New approach to parameter identification for nonlinear systems, American Journal of Physics, April 2004.
12. Tomas-Rodriguez, M. and Banks, S.P. (2004), Pole placement for non-linear systems, Proceedings NOLCOS 2004, Stuttgart, Germany.
13. Vlassenbroeck J. (1988), A Chebyshev polynomial method for optimal control with state constrains., Automatica, 24, 499-506.
14. Yen, V., Nagurka, M. (1992), Optimal control of linearly constrained linear systems via state parametrization, Optimal Control Appl. Methods, 13, 155-167.