Approximate finite-horizon optimal control without PDEs

Systems and Control Letters

Volumn 62, Issue 2, 2013, Pages 97-103

  Sassano, M ^a   Astolfi, A ^a,b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

Dynamic programming; Finite horizon optimal control; Nonlinear systems

Indexed keywords

APPROXIMATE SOLUTION; CLOSED FORM; DYNAMIC EXTENSION; EXPLICIT SOLUTIONS; FIXED TIME INTERVAL; HAMILTON-JACOBI-BELLMAN; INITIAL CONDITIONS; OPTIMAL CONTROL PROBLEM; OPTIMAL CONTROLS; OPTIMALITY; TIME VARYING;

DYNAMIC PROGRAMMING; NONLINEAR SYSTEMS; OPTIMAL CONTROL SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; STATE FEEDBACK;

CONTROL;

EID: 84871838054     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2012.08.015     Document Type: Article

References (13)

1. R.E. Bellman Dynamic Programming 1957 Princeton University Press New Jersey
2. D.P. Bertsekas Dynamic Programming and Optimal Control - Volume I third ed. 2005 Athena Scientific
3. A.E. Bryson, and Y.C. Ho Applied Optimal Control: Optimization, Estimation, and Control 1975 Taylor and Francis New York
4. B.D.O. Anderson, and J.B. Moore Optimal Control: Linear Quadratic Methods 1989 Prentice-Hall
5. G. Knowles An Introduction to Applied Optimal Control 1981 Academic Press New York
6. L.S. Pontryagin, V.G. Boltyanskii, R.V. Gamkrelidze, and E.F. Mishchenko The Mathematical Theory of Optimal Processes 1962 Interscience New Jersey
7. H.J. Sussmann, and J.C. Willems 300 years of optimal control: from the brachistochrone to the maximum principle IEEE Control Systems Magazine 17 1997 32 44
8. R.B. Vinter Optimal Control 2000 Birkhauser Boston
9. M. Sassano, A. Astolfi, Approximate finite-horizon optimal control without PDE's, in: Proc. of the 50th Conference on Decision and Control, Orlando, FL, 2011.
10. M. Sassano, and A. Astolfi Dynamic approximate solutions of the HJB equation and of the HJ inequality IEEE Transactions on Automatic Control 57 10 2012 2490 2503
11. L 2-disturbance attenuation problem, in: Proc. of the 8th IFAC Symposium on Nonlinear Control Systems, Bologna, Italy, 2010, pp. 3081-3086.
12. M. Sassano, A. Astolfi, Dynamic solution of the HJB equation and the optimal control of nonlinear systems, in: Proc. of the 49th Conference on Decision and Control, Atlanta, GA, 2010.
13. K.M. Anstreicher, and M.H. Wright A note on the augmented Hessian when the reduced Hessian is semidefinite SIAM Journal on Optimization 11 1 2000 243 253