Stability of intervalwise receding horizon controls for linear continuous time-varying systems

Ki Baek Kim, W. Kwon
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Abstract

In this paper, intervalwise receding horizon controls (IRHC) are proposed for linear continuous time-varying systems. Terminal inequality conditions are suggested for those systems under which the closed-loop stability is guaranteed with the proposed IRHC. The results in this paper are also applicable to periodic and time-invariant systems which belong to the class of time-varying systems. In addition, the previous results of pointwise receding horizon controls (PRHC) for linear systems and intervalwise receding horizon controls for linear periodic systems are handled as special cases of the results in this paper.
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线性连续时变系统区间后退水平控制的稳定性
针对线性连续时变系统,提出了区间后退水平控制方法。给出了用所提IRHC保证闭环稳定的系统的终端不等式条件。本文的结果也适用于属于时变系统的周期系统和定常系统。此外,对线性系统的点向后退水平控制(PRHC)和线性周期系统的区间后退水平控制(interval后退水平控制)的结果作了特殊处理。
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