Actas de congresos
Stability Of Receding Horizon Control Of Nonlinear Systems
Registro en:
Proceedings Of The Ieee Conference On Decision And Control. , v. 3, n. , p. 2077 - 2081, 2003.
1912216
2-s2.0-1542378933
Autor
Costa E.F.
Do Val J.B.R.
Institución
Resumen
This paper focus on the stability of receding horizon control of general nonlinear systems. We employ a recent result on the convergence of the cost functional and we show that the cost induces a Lyapunov function along the receding horizon trajectories. The result requires a notion of detectability of nonlinear systems and a condition on the horizon length. Contrary to the usual approaches, we do not impose end-point constraints or special terminal weighting. In the particular linear setting, we show that the requirements imposed in the general case are reduced to the standard detectability and stabilizability conditions. 3
2077 2081 Anderson, B.D.O., Moore, J.B., Detectability and stabilizability of time-varying discrete-time linear Systems (1981) SIAM Journal on Control and Optimization, 19 (1), pp. 20-32 Chen, C., Shaw, L., On receding horizon feedback control (1982) Automatica, pp. 349-352 Costa, E.F., Do Val, J.B.R., Optimal cost convergence with respect to the time horizon (2003) European Control Conference, , Cambridge, UK (Submitted) De Nicolao, G., Strada, S., On the stability of receding-horizon LQ Control with zero-state terminal contraint (1997) IEEE Transactions on Automatic Control, 42 (2), pp. 257-260 Hager, W.W., Horowitz, L.L., Convergence and stability properties of the discrete Riccati operator equation and the associated optimal control and filtering problems (1976) SIAM Journal on Control and Optimization, 14 (2), pp. 295-312 Kailath, T., (1980) Linear Systems, , Prentice-Hall Keerthi, S.S., Gilbert, E.G., Optimal infinite-horizon feedback laws for a general class of constrained discrete-time systems: Stability and moving-horizon approximations (1988) Journal of Optimization Theory and Applications, 57 (2), pp. 265-293 Kothare, M.V., Balakrishnan, V., Morari, M., Robust constrained model predictive control using linear matrix inequalities (1996) Automatica, 32 (10), pp. 1361-1379 Kwon, W.H., Pearson, A.E., A modified quadratic cost problem and feedback stabilization of a linear system (1977) IEEE Transactions on Automatic Control, 22 (5), pp. 838-842 Lee, J.W., Kwon, W.H., Choi, J., On stability of constrained receding horizon control with finite terminal weighting matrix (1998) Automatica, 34 (12), pp. 1607-1612 Lee, Y.I., Kouvaritakis, B., Constrained receding horizon predictive control for systems with disturbances (1999) International Journal of Control, 72 (11), pp. 1027-1032 Mayne, D.Q., Michalska, H., Receeding horizon control of nonlinear systems (1990) IEEE Transactions on Automatic Control, 35, pp. 814-824 Mosca, E., Zhang, J., Stable redesign of predictive control (1992) Automatica, 28 (6), pp. 1229-1233 Primbs, J.A., Nevistic, V., A new approach to stability analysis for constrained finite receding horizon control without end constraints (2000) IEEE Transactions on Automatic Control, 45, pp. 1507-1512 Rawlings, J.B., Muske, K.R., The stability of constrained receding horizon control (1993) IEEE Transactions on Automatic Control, 38 (10), pp. 1512-1516