Abstract
The characterization of the class of stabilizing predictions for linear systems allows for predictive control algorithms which interpolate linearly between some key predicted input trajectories. Such interpolation endows the closed-loop system with desirable attributes even when a small number of degrees of freedom is used. This paper explores the ideas behind interpolation and extends them to the case of predictive control of nonlinear systems by proposing an effective yet computationally undemanding strategy.
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References
D. W. Clarke, C. Mohtadi and P. S. Tuffs, Generalized predictive control. Parts 1 and 2, Automatica, 23 (1987), 137–160.
J. B. Rawlings and K. R. Muske, The stability of constrained receding horizon control, IEEE Trans. Automat. Contr., 38 (19) (1993), 1512–1516.
P. O. M. Scokaert and J. B. Rawlings, Infinite horizon linear quadratic control with constraints, Proceedings of the 13th IFAC World Congress (1996), 109–114.
J. A. Rossiter, J. R. Gossner and B. Kouvaritakis, Infinite horizon stable predictive control, IEEE Trans. Automat. Contr., 41 (10) (1996), 1522–1527.
M. Cannon and B. Kouvaritakis, Fast suboptimal predictive control with guaranteed stability, Control and Systems Letters, to appear.
B. Kouvaritakis, J. A. Rossiter and M. Cannon, Linear quadratic feasible predictive control, Automatica, to appear.
M. Cannon and B. Kouvaritakis, Infinite horizon predictive control of constrained continuous-time linear systems,submitted to Automatica.
J. E. Slotine and W. Li, Applied nonlinear control, Prentice Hall, New Jersey, 1991.
M. J. Kurtz and M. A. Henson, Input-output linearizing control of constrained nonÂlinear processes, J. Proc. Cont., 7 (1) (1997), 3–17.
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© 2000 Springer Basel AG
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Kouvaritakis, B., Cannon, M., Rossiter, J.A. (2000). Stability, Feasibility, Optimality and the Degrees of Freedom in Constrained Predictive Control. In: Allgöwer, F., Zheng, A. (eds) Nonlinear Model Predictive Control. Progress in Systems and Control Theory, vol 26. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8407-5_5
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DOI: https://doi.org/10.1007/978-3-0348-8407-5_5
Publisher Name: Birkhäuser, Basel
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Online ISBN: 978-3-0348-8407-5
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