The explicit control law for hybrid systems via parametric programming

The explicit control law for hybrid systems via parametric programming
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通过参数编程的混合系统的显式控制律

DOI:
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发表时间:
2001
期刊:
Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)
影响因子:
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通讯作者:
E. Pistikopoulos
E. Pistikopoulos
中科院分区:
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文献类型:
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作者:
V. Sakizlis;V. Dua;J. D. Perkins;E. Pistikopoulos

文献摘要

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提出了一种算法,用于推导线性动态系统的显式最优控制策略,该线性动态系统还涉及(i)逻辑决策和(ii)对过程输入和输出的约束。控制动作通常通过在规则的时间间隔内求解基于指定当前过程状态的一组测量的在线优化问题来计算。本文提出的方法离线导出最优控制律作为过程状态的函数,从而消除了在线优化问题的重复求解。因此,在线实现被减少到一个简单的功能评估序列。该算法的主要优点是通过一个说明性的例子证明。
An algorithm is presented for the derivation of the explicit optimal control policy for linear dynamical systems that also involve (i) logical decisions and (ii) constraints on process inputs and outputs. The control actions are usually computed by solving at regular time intervals an on-line optimization problem based on a set of measurements that specify the current process state. The approach presented in the paper derives the optimal control law off-line as a function of the state of the process, thus eliminating the repetitive solution of on-line optimization problems. Hence, the on-line implementation is reduced to a sequence of simple function evaluations. The key advantageous features of the algorithm are demonstrated via an illustrative example.