Disturbance-observer-based control & ℋ∞ control for non-linear Markovian jump singular systems with multiple disturbances
Disturbance-observer-based control & ℋ∞ control for non-linear Markovian jump singular systems with multiple disturbances
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DOI：
10.1049/iet-cta.2014.0324
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发表时间：
2014-11
影响因子：
2.6
通讯作者：
Xiu-ming Yao;Lianqing Zhu;Lei Guo
中科院分区：
文献类型：
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作者：
Xiu-ming Yao;Lianqing Zhu;Lei Guo
研究了一类具有非线性和两类扰动（一类扰动由外生系统产生，另一类扰动是范数有界的）的马尔可夫跳变广义系统的复合递阶抗扰动控制问题（基于扰动观测器的控制器（DOBC）和鲁棒∞控制）.作者的注意力集中在设计干扰观测器来估计第一个干扰，然后构造复合递阶控制方案，使得复合系统的解是唯一且存在的，可以保证复合系统是随机容许的，并且可以同时衰减和抑制不同类型的干扰。通过构造适当的随机Lyapunov-Krasovskii泛函，建立了所需DOBC存在的充分条件.最后，通过一个数值算例验证了所提方法的有效性。
This study addresses the Problem of composite hierarchical anti-disturbance control [disturbance-observer-based controllers (DOBC) and ℋ∞ control] for Markovian jump singular systems with non-linearity and two types of disturbances (the first is generated by an exogenous system and the latter is norm-bounded). The authors’ attention is focused on the design of a disturbance observer to estimate the first disturbance, and then on constructing a composite hierarchical control scheme such that the solution to the composite system is unique and exists, the composite system can be guaranteed to be stochastically admissible, and different types of disturbances can be attenuated and rejected simultaneously. By constructing a proper stochastic Lyapunov–Krasovskii functional, sufficient conditions for the existence of the desired DOBCs are established. Finally, a numerical eEEExample is provided to show the effectiveness of the proposed approaches.