Robust stability analysis and stabilisation of uncertain impulsive positive systems with time delay

被引:12
作者
Zhu, Baolong [1 ]
Ma, Jie [1 ]
Zhang, Zhiping [1 ]
Feng, Hui [1 ]
Li, Shunli [1 ]
机构
[1] Harbin Inst Technol, Sch Astronaut, Harbin 150001, Heilongjiang, Peoples R China
关键词
Impulsive positive systems; dwell-time-dependent stability; polytopic uncertainties; time delay; stabilisation; SAMPLED-DATA SYSTEMS; TO-STATE STABILITY; H-INFINITY-CONTROL; DWELL-TIME; EXPONENTIAL STABILITY; DIFFERENTIAL EVOLUTION; VARYING DELAYS; LINEAR-SYSTEMS; OPTIMIZATION; CONSTRAINTS;
D O I
10.1080/00207721.2018.1529254
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper considers the robust stability and stabilisation of uncertain impulsive positive systems with delay in state. The robust global exponential stability criterion under ranged dwell-time is first established by employing an impulse-time-dependent copositive Lyapunov function. Extensions to the exponential stability of the considered system under constant, arbitrary, maximal and minimal dwell-time are then derived. To positively stabilise the considered system under ranged dwell-time, a method of state-feedback controller design is presented based on the derived stability condition. Several numerical examples illustrate the reduced conservatism and effectiveness of the obtained theoretical results.
引用
收藏
页码:2940 / 2956
页数:17
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