메뉴 건너뛰기




Volumn 17, Issue 14, 2007, Pages 1251-1277

On the convergence of nonlinear optimal control using pseudospectral methods for feedback linearizable systems

Author keywords

Feedback linearizable systems; Optimal control; Pseudospectral methods

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FEEDBACK CONTROL; LINEARIZATION; NONLINEAR CONTROL SYSTEMS; PROBLEM SOLVING;

EID: 34548743967     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.1166     Document Type: Article
Times cited : (61)

References (42)
  • 2
    • 0032021498 scopus 로고    scopus 로고
    • Survey of numerical methods for trajectory optimization
    • Betts JT. Survey of numerical methods for trajectory optimization. Journal of Guidance, Control, and Dynamics 1998; 21(2):193-207.
    • (1998) Journal of Guidance, Control, and Dynamics , vol.21 , Issue.2 , pp. 193-207
    • Betts, J.T.1
  • 3
    • 33846005440 scopus 로고    scopus 로고
    • Enhanced procedures for direct trajectory optimization using nonlinear programming and implicit integration
    • Keystone, CO, 21-24 August, AIAA Paper No. 2006-6309
    • Paris SW, Riehl JP, Sjauw WK. Enhanced procedures for direct trajectory optimization using nonlinear programming and implicit integration. Proceedings of the AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Keystone, CO, 21-24 August 2006; AIAA Paper No. 2006-6309.
    • (2006) Proceedings of the AIAA/AAS Astrodynamics Specialist Conference and Exhibit
    • Paris, S.W.1    Riehl, J.P.2    Sjauw, W.K.3
  • 4
    • 33846002301 scopus 로고    scopus 로고
    • Comparison of implicit integration methods for solving aerospace trajectory optimization problems
    • Keystone, CO, 21-24 August, AIAA Paper No. 2006-6033
    • Riehl JP, Paris SW, Sjauw WK. Comparison of implicit integration methods for solving aerospace trajectory optimization problems. Proceedings of the AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Keystone, CO, 21-24 August 2006; AIAA Paper No. 2006-6033.
    • (2006) Proceedings of the AIAA/AAS Astrodynamics Specialist Conference and Exhibit
    • Riehl, J.P.1    Paris, S.W.2    Sjauw, W.K.3
  • 5
    • 85087601302 scopus 로고    scopus 로고
    • A perspective on methods for trajectory optimization
    • Monterey, CA, August, AIAA Paper No. 2002-4727
    • Ross IM, Fahroo F. A perspective on methods for trajectory optimization. Proceedings of the AIAA/AAS Astrodynamics Conference, Monterey, CA, August 2002; AIAA Paper No. 2002-4727.
    • (2002) Proceedings of the AIAA/AAS Astrodynamics Conference
    • Ross, I.M.1    Fahroo, F.2
  • 6
    • 0032206203 scopus 로고    scopus 로고
    • Pseudospectral Chebyshev optimal control of constrained nonlinear dynamical systems
    • Elnagar G, Kazemi MA. Pseudospectral Chebyshev optimal control of constrained nonlinear dynamical systems. Computational Optimization and Applications 1998; 11:195-217.
    • (1998) Computational Optimization and Applications , vol.11 , pp. 195-217
    • Elnagar, G.1    Kazemi, M.A.2
  • 10
    • 0036154549 scopus 로고    scopus 로고
    • Direct trajectory optimization by a Chebyshev pseudospectral method
    • Fahroo F, Ross IM. Direct trajectory optimization by a Chebyshev pseudospectral method. Journal of Guidance, Control and Dynamics 2002; 25(1):160-166.
    • (2002) Journal of Guidance, Control and Dynamics , vol.25 , Issue.1 , pp. 160-166
    • Fahroo, F.1    Ross, I.M.2
  • 11
    • 34548802600 scopus 로고    scopus 로고
    • Infeld SI, Murray W. Optimization of stationkeeping for a libration point mission. AAS Spaceflight Mechanics Meeting, Maui, HI, February 2004; AAS 04-150.
    • Infeld SI, Murray W. Optimization of stationkeeping for a libration point mission. AAS Spaceflight Mechanics Meeting, Maui, HI, February 2004; AAS 04-150.
  • 13
    • 85088345479 scopus 로고    scopus 로고
    • Launch vehicle trajectory optimization using a Legendre pseudospectral method
    • Austin, TX, August, Paper No. AIAA 2003-5640
    • Rea J. Launch vehicle trajectory optimization using a Legendre pseudospectral method. Proceedings of the AIAA Guidance, Navigation and Control Conference, Austin, TX, August 2003; Paper No. AIAA 2003-5640.
    • (2003) Proceedings of the AIAA Guidance, Navigation and Control Conference
    • Rea, J.1
  • 15
    • 19644387003 scopus 로고    scopus 로고
    • Receding horizon control of tether system using quasilinearization and Chebyshev pseudospectral approximations
    • Big Sky, MT, 3-7 August, Paper AAS 03-535
    • Williams P, Blanksby C, Trivailo P. Receding horizon control of tether system using quasilinearization and Chebyshev pseudospectral approximations. AAS/AIAA Astrodynamics Specialist Conference, Big Sky, MT, 3-7 August 2003; Paper AAS 03-535.
    • (2003) AAS/AIAA Astrodynamics Specialist Conference
    • Williams, P.1    Blanksby, C.2    Trivailo, P.3
  • 17
    • 19944401434 scopus 로고    scopus 로고
    • User's manual for DIDO: A MATLAB application package for solving optimal control problems
    • Technical Report 04-01.0, Tomlab Optimization Inc, February
    • Ross IM. User's manual for DIDO: a MATLAB application package for solving optimal control problems. Technical Report 04-01.0, Tomlab Optimization Inc, February 2004.
    • (2004)
    • Ross, I.M.1
  • 19
    • 4344637586 scopus 로고    scopus 로고
    • Pseudospectral methods for optimal motion planning of differentially flat systems
    • Ross IM, Fahroo F. Pseudospectral methods for optimal motion planning of differentially flat systems. IEEE Transactions on Automatic Control 2004; 49(8):1410-1413.
    • (2004) IEEE Transactions on Automatic Control , vol.49 , Issue.8 , pp. 1410-1413
    • Ross, I.M.1    Fahroo, F.2
  • 20
    • 33646048601 scopus 로고    scopus 로고
    • Ross IM, Fahroo F. Issues in the real-time computation of optimal control. Mathematical and Computer Modelling, An International Journal 2006; 43:1172-1188 (Special Issue: Optimization and Control for Military Applications).
    • Ross IM, Fahroo F. Issues in the real-time computation of optimal control. Mathematical and Computer Modelling, An International Journal 2006; 43:1172-1188 (Special Issue: Optimization and Control for Military Applications).
  • 24
    • 2642565670 scopus 로고    scopus 로고
    • Legendre pseudospectral approximations of optimal control problems
    • Springer: New York
    • Ross IM, Fahroo F. Legendre pseudospectral approximations of optimal control problems. Lecture Notes in Control and Information Sciences, vol. 295, Springer: New York, 2003; 327-342.
    • (2003) Lecture Notes in Control and Information Sciences , vol.295 , pp. 327-342
    • Ross, I.M.1    Fahroo, F.2
  • 26
    • 33746056457 scopus 로고    scopus 로고
    • A pseudospectral method for the optimal control of constrained feedback linearizable systems
    • Gong Q, Kang W, Ross IM. A pseudospectral method for the optimal control of constrained feedback linearizable systems. IEEE Transactions on Automatic Control 2006; 51(7): 1115-1129.
    • (2006) IEEE Transactions on Automatic Control , vol.51 , Issue.7 , pp. 1115-1129
    • Gong, Q.1    Kang, W.2    Ross, I.M.3
  • 32
    • 0033412823 scopus 로고    scopus 로고
    • A global convergence analysis of an algorithm for large-scale nonlinear optimization problems
    • Boggs PT, Kearsley AJ, Tolle JW. A global convergence analysis of an algorithm for large-scale nonlinear optimization problems. SIAM Journal of Optimization 1999; 9(4):833-862.
    • (1999) SIAM Journal of Optimization , vol.9 , Issue.4 , pp. 833-862
    • Boggs, P.T.1    Kearsley, A.J.2    Tolle, J.W.3
  • 36
    • 0005421802 scopus 로고
    • Several trajectory optimization techniques. Part II: Applications
    • Balakrishnan AV, Neustadt LW eds, Academic Press: New York
    • Moyer HG, Pinkham G. Several trajectory optimization techniques. Part II: Applications. In Computing Methods in Optimization Problems, Balakrishnan AV, Neustadt LW (eds). Academic Press: New York, 1964; 91-105.
    • (1964) Computing Methods in Optimization Problems , pp. 91-105
    • Moyer, H.G.1    Pinkham, G.2
  • 37
    • 26244441557 scopus 로고    scopus 로고
    • Near-optimal low-thrust earth-mars trajectories via a genetic algorithm
    • Wall B, Conway BA. Near-optimal low-thrust earth-mars trajectories via a genetic algorithm. Journal of Guidance, Control and Dynamics 2005; 28(5): 1027-1031.
    • (2005) Journal of Guidance, Control and Dynamics , vol.28 , Issue.5 , pp. 1027-1031
    • Wall, B.1    Conway, B.A.2
  • 38
    • 28444488363 scopus 로고    scopus 로고
    • Fuel-optimal, power-limited rendezvous with variable thruster efficiency
    • Mengali G, Quarta AA. Fuel-optimal, power-limited rendezvous with variable thruster efficiency. Journal of Guidance, Control and Dynamics 2005; 28(6): 1194-1199.
    • (2005) Journal of Guidance, Control and Dynamics , vol.28 , Issue.6 , pp. 1194-1199
    • Mengali, G.1    Quarta, A.A.2
  • 41
    • 2642529501 scopus 로고    scopus 로고
    • Pseudospectral knotting methods for solving optimal control problems
    • Ross IM, Fahroo F. Pseudospectral knotting methods for solving optimal control problems. Journal of Guidance, Control and Dynamics 2004; 27(3):397-405.
    • (2004) Journal of Guidance, Control and Dynamics , vol.27 , Issue.3 , pp. 397-405
    • Ross, I.M.1    Fahroo, F.2
  • 42
    • 8744267096 scopus 로고    scopus 로고
    • Discrete verification of necessary conditions for switched nonlinear optimal control systems
    • Boston, MA, June
    • Ross IM, Fahroo F. Discrete verification of necessary conditions for switched nonlinear optimal control systems. Proceedings of the American Control Conference, Boston, MA, June 2004.
    • (2004) Proceedings of the American Control Conference
    • Ross, I.M.1    Fahroo, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.