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Frontiers of Information Technology & Electronic Engineering
ISSN 2095-9184 (print), ISSN 2095-9230 (online)
2021 Vol.22 No.5 P.720-731
Event-based H∞ control for piecewise-affine systems subject to actuator saturation
Abstract: We deal with event-triggered H∞ controller design for discrete-time piecewise-affine systems subject to actuator saturation. By considering saturation information, a novel event-triggered strategy is proposed to conserve communication resources. A linear matrix inequality based condition is derived based on a piecewise Lyapunov function. This condition guarantees the stability of the closed-loop system with a certain H∞ performance index and reduces the number of transmitted signals. Numerical examples are given to show the efficiency of our method.
Key words: Event-triggered control, Piecewise-affine system, Linear matrix inequality, Actuator saturation, H∞ performance
江南大学轻工过程先进控制教育部重点实验室，中国无锡市，214122
摘要：针对具有执行器饱和的离散时间分段仿射系统，提出一种事件触发控制器设计方法。考虑饱和信息，提出一种新的事件触发策略，该策略能节省通信资源。基于分段李雅普诺夫函数，推导出基于线性矩阵不等式的可行性条件。该条件不仅能保证闭环系统在一定H∞性能指标下的稳定性，还能减少信号传输数量。最后，利用仿真实例验证该方法的有效性。
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DOI:
10.1631/FITEE.1900601
CLC number:
TP273
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On-line Access:
2021-05-17
Received:
2019-11-06
Revision Accepted:
2020-06-09
Crosschecked:
2020-11-16