摘要: This Ph.D. thesis considers the development of new analysis and control techniques for special classes hybrid systems discrete event systems. Two particular (piecewise affine max-min-plus-scaling systems), two (max-plus-linear switching max-plus-linear systems) are studied. Using optimal framework, model predictive schemes designed that make use structure these incorporate conditions to guarantee a priori closed-loop asymptotic stability. Stability is obtained by deriving bounds on tuning parameters or imposing terminal set constraint using an appropriate cost. The three main topics: * Optimal systems; Min-max Model piecewise
tudelft.nl参考文章(109)
Thomas A. Badgwell, Robust model predictive control of stable linear systems International Journal of Control. ,vol. 68, pp. 797- 818 ,(1997) , 10.1080/002071797223343
Jeremy Gunawardena, Min-max functions Discrete Event Dynamic Systems. ,vol. 4, pp. 377- 407 ,(1994) , 10.1007/BF01440235
Alberto Bemporad, Manfred Morari, Vivek Dua, Efstratios N. Pistikopoulos, The explicit linear quadratic regulator for constrained systems Automatica. ,vol. 38, pp. 3- 20 ,(2002) , 10.1016/S0005-1098(01)00174-1
Jamal Daafouz, Jacques Bernussou, Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties Systems & Control Letters. ,vol. 43, pp. 355- 359 ,(2001) , 10.1016/S0167-6911(01)00118-9
Yin Zhang, Liyan Gao, On Numerical Solution of the Maximum Volume Ellipsoid Problem Siam Journal on Optimization. ,vol. 14, pp. 53- 76 ,(2003) , 10.1137/S1052623401397230
J.A. Rossiter, B. Kouvaritakis, M.J. Rice, A numerically robust state-space approach to stable-predictive control strategies Automatica. ,vol. 34, pp. 65- 73 ,(1998) , 10.1016/S0005-1098(97)00171-4
M. C. Delfour, S. K. Mitter, Reachability of Perturbed Systems and Min Sup Problems Siam Journal on Control. ,vol. 7, pp. 521- 533 ,(1969) , 10.1137/0307038
W.P.M.H. Heemels, B. De Schutter, A. Bemporad, Brief Equivalence of hybrid dynamical models Automatica. ,vol. 37, pp. 1085- 1091 ,(2001) , 10.1016/S0005-1098(01)00059-0
S.L. Paveri-Fontana, On Boltzmann-like treatments for traffic flow: A critical review of the basic model and an alternative proposal for dilute traffic analysis Transportation Research. ,vol. 9, pp. 225- 235 ,(1975) , 10.1016/0041-1647(75)90063-5
Amiram Harten, Peter D. Lax, Bram van Leer, On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws SIAM Review. ,vol. 25, pp. 35- 61 ,(1983) , 10.1137/1025002