期刊
NONLINEAR DYNAMICS
卷 103, 期 3, 页码 2753-2768出版社
SPRINGER
DOI: 10.1007/s11071-021-06277-7
关键词
Parabolic systems; Finite-time stability; Lyapunov method; Boundary control; Non-fragile control
资金
- National Natural Science Foundation of China [61573013, 61603286]
This paper investigates the finite-time non-fragile boundary feedback control problem for a class of nonlinear parabolic systems, considering both multiplicative and additive controller gain variations. Non-fragile boundary control strategies are designed for two controller gain variations via collocated or non-collocated boundary measurement. Sufficient conditions are presented in terms of linear matrix inequalities to ensure the stability of the resulting closed-loop system. Numerical examples are provided to verify the effectiveness of the proposed design method.
In this paper, the finite-time non-fragile boundary feedback control problem is investigated for a class of nonlinear parabolic systems, where both the multiplicative and additive controller gain variations are considered to describe the actuator parameter perturbation. Non-fragile boundary control strategies are designed with respect to two controller gain variations via collocated or non-collocated boundary measurement, respectively. In light of the finite-time stability and Lyapunov-based techniques, some sufficient conditions are presented in terms of linear matrix inequalities such that the resulting closed-loop system is well-posedness and practically finite-time stable. Finally, numerical examples are given to verify the effectiveness of the proposed design method.
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