On Stability for State Constrained Hybrid Systems via Barrier Lyapunov Functions

In this paper, the stability of familiar state constrained hybrid systems is considered. In the first, we prove the invariant set stability for the state constrained impulsive hybrid systems. Specifically, a robust control feedback method is applied for state constrained uncertain impulsive hybrid s...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2022-01, Vol.2022 (1)
Main Authors: Li, Liangliang, Jiang, Wenlin
Format: Article
Language:English
Subjects:
Altitude
Controllers
Dynamical systems
Hybrid systems
Inequality
Liapunov functions
Mathematics
Robust control
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Summary:In this paper, the stability of familiar state constrained hybrid systems is considered. In the first, we prove the invariant set stability for the state constrained impulsive hybrid systems. Specifically, a robust control feedback method is applied for state constrained uncertain impulsive hybrid systems. With the auxiliary matrix assistance, some convergence criteria are derived to guarantee robust stability for state constrained uncertain hybrid systems with output disturbance by constructing the symmetric and asymmetric barrier Lyapunov functions (BLF), respectively. Finally, two comparative examples with simulations show that the proposed results are effective and superior.
ISSN:2314-4629
2314-4785
DOI:10.1155/2022/7701490