Nonlinear Model Predictive Control: Towards New Challenging by D. Limon, T. Alamo, D. M. Raimondo, D. Muñoz de la Peña, J.
By D. Limon, T. Alamo, D. M. Raimondo, D. Muñoz de la Peña, J. M. Bravo, A. Ferramosca (auth.), Lalo Magni, Davide Martino Raimondo, Frank Allgöwer (eds.)
Over the previous few years major development has been completed within the box of nonlinear version predictive keep watch over (NMPC), also known as receding horizon keep watch over or relocating horizon keep watch over. greater than 250 papers were released in 2006 in ISI Journals. With this publication we wish to collect the contributions of a various staff of the world over good well-known researchers and commercial practitioners, to severely check the present prestige of the NMPC box and to debate destiny instructions and wishes. The publication comprises chosen papers offered on the overseas Workshop on overview an destiny instructions of Nonlinear version Predictive regulate that happened from September five to nine, 2008, in Pavia, Italy.
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IEEE Transactions on Automatic Control 52(10), 1856– 1870 (2007) 16. : Receding horizon H∞ control for nonlinear discrete-time systems. IEE Proceedings - Control Theory and Applications 149, 540–546 (2002) 17. : A note on stability, robustness and performance of output feedback nonlinear model predictive control. Journal of Process Control 13, 633–644 (2003) 18. : Input-to-state stability for discrete-time nonlinear systems. Automatica 37, 857–869 (2001) 19. : A converse Lyapunov theorem for discrete-time systems with disturbances.
2. The asymptotic stability of the nominal system implies that there exists a K L function β such that |φκ ( j, x(0), 0)| ≤ β (|x(0)|, j). From this property, it will be proved that there exists a uniform continuous Lyapunov function for the nominal system, following a similar procedure to [50]. For every K L -function β , there exists a couple of K∞ functions α1 and α2 and a constant a > 0 such that β (s,t) ≤ α1−1 (α2 (s)e−at ) [50]. Define the function V (x) sup α1 (φκ ( j, x, 0)) ea j j≥0 Since fκ (x, 0) is uniformly continuous, then φκ ( j, x, 0) is uniformly continuous in x, and hence V (x) inherits this property.
Limon et al. 50. : Sufficient conditions for stabilization of sampleddata nonlinear systems via discrete-time approximations. Systems & Control Letters 38, 259–270 (1999) 51. : A survey of industrial model predictive control technology. Control Engineering Practice 11(7), 733–764 (2003) 52. : Towards the practical implementation of min-max nonlinear Model Predictive Control. In: 46th IEEE CDC, pp. 1257–1262 (2007) 53. : Min-max model predictive control of nonlinear systems: A unifying overview on stability.