An efficient algorithm is proposed for computing the solution to the constrained finite time optimal control (CFTOC) problem for discrete-time piecewise affine (PWA) systems with a quadratic performance index. The...An efficient algorithm is proposed for computing the solution to the constrained finite time optimal control (CFTOC) problem for discrete-time piecewise affine (PWA) systems with a quadratic performance index. The maximal positively invariant terminal set, which is feasible and invariant with respect to a feedback control law, is computed as terminal target set and an associated Lyapunov function is chosen as terminal cost. The combination of these two components guarantees constraint satisfaction and closed-loop stability for all time. The proposed algorithm combines a dynamic programming strategy with a multi-parametric quadratic programming solver and basic polyhedral manipulation. A numerical example shows that a larger stabilizable set of states can be obtained by the proposed algorithm than precious work.展开更多
以Integrated New Product Developmen(tINPD)程序中的SET因素为启示,分析了移动电源产品所面临的社会趋势(S)、经济动力(E)、技术进步(T)以及生产商所处的行业背景、企业自身的优势、市场现有产品价格、形态的关系,对移动电源产品进行...以Integrated New Product Developmen(tINPD)程序中的SET因素为启示,分析了移动电源产品所面临的社会趋势(S)、经济动力(E)、技术进步(T)以及生产商所处的行业背景、企业自身的优势、市场现有产品价格、形态的关系,对移动电源产品进行市场机会分析和方案设计。提出了产品机会是从SET的共同作用下引发的新趋势中得以实现的,而机会又需要被解释为和产品功能、外形相关的具体形式要素,明确产品机会并将其转化为具体的产品在产品开发过程中非常重要。展开更多
基金supported by the National Natural Science Foundation of China (60702033)Natural Science Foundation of Zhe-jiang Province (Y107440)
文摘An efficient algorithm is proposed for computing the solution to the constrained finite time optimal control (CFTOC) problem for discrete-time piecewise affine (PWA) systems with a quadratic performance index. The maximal positively invariant terminal set, which is feasible and invariant with respect to a feedback control law, is computed as terminal target set and an associated Lyapunov function is chosen as terminal cost. The combination of these two components guarantees constraint satisfaction and closed-loop stability for all time. The proposed algorithm combines a dynamic programming strategy with a multi-parametric quadratic programming solver and basic polyhedral manipulation. A numerical example shows that a larger stabilizable set of states can be obtained by the proposed algorithm than precious work.
文摘以Integrated New Product Developmen(tINPD)程序中的SET因素为启示,分析了移动电源产品所面临的社会趋势(S)、经济动力(E)、技术进步(T)以及生产商所处的行业背景、企业自身的优势、市场现有产品价格、形态的关系,对移动电源产品进行市场机会分析和方案设计。提出了产品机会是从SET的共同作用下引发的新趋势中得以实现的,而机会又需要被解释为和产品功能、外形相关的具体形式要素,明确产品机会并将其转化为具体的产品在产品开发过程中非常重要。