Every Continuous Nonlinear Control System Can be Obtained by Parametric Convex Programming
作者： Michel Baes , Moritz Diehl , Ion Necoara
关键词: Nonlinear control 、 Convex analysis 、 Convex optimization 、 Convexity 、 Optimal control 、 Mathematical optimization 、 Parametric statistics 、 Model predictive control 、 Mathematics 、 Parametric programming
摘要: In this short note, we define parametric convex programming (PCP) in a slightly different manner than it is usually done by extending convexity not only to variables but also the parameters, and show that widely applied model predictive control (MPC) technique particular case of PCP. The main result note an answer inverse question PCP: which feedback laws can be generated PCP? By employing results analysis, provide constructive proof-yet computational-that allows us conclude every continuous law obtained
sci-hub.se 参考文章(16)
Alberto Bemporad, Carlo Filippi, Approximate multiparametric convex programming IEEE. ,(2003)
Jan Marian Maciejowski, Predictive Control With Constraints ,(2001)
Anthony V. Fiacco, Introduction to Sensitivity and Stability Analysis in Nonlinear Programming ,(2012)
Francesco Borrelli, Constrained Optimal Control of Linear and Hybrid Systems ,(2003)
R. E. Kalman, When Is a Linear Control System Optimal Journal of Basic Engineering. ,vol. 86, pp. 51- 60 ,(1964) , 10.1115/1.3653115
Alberto Bemporad, Carlo Filippi, An Algorithm for Approximate Multiparametric Convex Programming Computational Optimization and Applications. ,vol. 35, pp. 87- 108 ,(2006) , 10.1007/S10589-006-6447-Z
D.Q. Mayne, J.B. Rawlings, C.V. Rao, P.O.M. Scokaert, Survey Constrained model predictive control: Stability and optimality Automatica. ,vol. 36, pp. 789- 814 ,(2000) , 10.1016/S0005-1098(99)00214-9
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
Stephen M Robinson, Richard H Day, A sufficient condition for continuity of optimal sets in mathematical programming Journal of Mathematical Analysis and Applications. ,vol. 45, pp. 506- 511 ,(1974) , 10.1016/0022-247X(74)90089-4
Carlos E. García, David M. Prett, Manfred Morari, Model predictive control: theory and practice—a survey Automatica. ,vol. 25, pp. 335- 348 ,(1989) , 10.1016/0005-1098(89)90002-2