Invariant Sets and Control Synthesis for Switching Systems with Safety Specifications
Invariant Sets and Control Synthesis for Switching Systems with Safety Specifications
复制标题
具有安全规范的开关系统的不变集和控制综合
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
M. D. Benedetto
中科院分区：
文献类型：
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作者：
L. Berardi;E. D. Santis;M. D. Benedetto
提出了一种结构过程来解决基于最大受控不变集的最大安全集确定问题。但是，不能保证该过程在有限数量的步骤中收敛。首先通过对动力系统进行线性化和离散化，使该过程在计算上具有吸引力，其次，通过使用这些集合的内部近似，与经典的外部近似一起，由于在有限数量的步骤后过程的截断而产生错误的严格界限。该理论应用于发动机控制中的怠速调节。
A structural procedure is proposed for solving the problem of maximal safe-set determination based on maximal controlled invariant sets. However, the procedure is not guaranteed to converge in a finite number of steps. The procedure is made computationally appealing first by linearizing and discretizing the dynamical systems and, second, by using an inner approximation of these sets that, together with the classical outer approximation, yields tight bounds for an error due to the truncation of the procedure after a finite number of steps. The theory is applied to idle-speed regulation in engine control.