Max-plus-linear model-based predictive control for constrained hybrid systems:linear programming solution
Yuanyuan ZOU
Shaoyuan LI
摘要:In this paper,a linear programming method is proposed to solve model predictive control for a class of hybrid systems.Firstly,using the(max,+)algebra,a typical subclass of hybrid systems called max-plus-linear(MPL)systems is obtained.And then,model predictive control(MPC)framework is extended to MPL systems.In general,the nonlinear optimization approach or extended linear complementarity problem(ELCP)were applied to solve the MPL-MPC optimization problem.A new optimization method based on canonical forms for max-min-plus-scaling(MMPS)functions (using the operations maximization,minimization,addition and scalar multiplication)with linear constraints on the inputs is presented.The proposed approach consists in solving several linear programming problems and is more efficient than nonlinear optimization.The validity of the algorithm is illustrated by an example.
机标关键词:
分类号:TP3(计算技术、计算机技术)
资助基金:国家自然科学基金(60474051)新世纪优秀人才支持计划(NCET)
论文发表日期:2007-01-01
在线出版日期:2025-08-15(本平台首次上网日期,不代表文献的发表时间)
页数:6( 71-76 )
英文信息
