Input-to-state stabilisation for a general non-linear system with time-varying input delay
Input-to-state stabilisation for a general non-linear system with time-varying input delay
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DOI：
10.1049/iet-cta.2017.0318
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发表时间：
2017-11
影响因子：
2.6
通讯作者：
Xiushan Cai;Lingxin Meng;Cong Lin;Wei Zhang;Leibo Liu
中科院分区：
文献类型：
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作者：
Xiushan Cai;Lingxin Meng;Cong Lin;Wei Zhang;Leibo Liu
作者研究了具有输入延迟和干扰的一般非线性系统的输入状态稳定性。通过无限维反步变换，将原始系统转移到目标系统。针对此类非线性系统设计了延迟补偿和干扰衰减控制律。首先通过构造Lyapunov泛函证明了目标系统的稳定性。推导了原始系统和目标系统的规范的等价性。此外，还得出了延迟补偿控制律下原系统的输入状态稳定性。
The authors investigate input‐to‐state stabilisation for a general non‐linear system with input delay and disturbance. With an infinite‐dimensional backstepping transformation, the original system is transferred to a target system. A delay‐compensating and disturbances attenuating control law is designed for this kind of non‐linear systems. Stability of the target system is first proved by constructing a Lyapunov functional. Equivalence of norms for original and target system is deduced. Further, input‐to‐state stabilisation for the original system under the delay‐compensating control law is drawn.