共 53 条
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
相关论文