基于连续故障模型的Delta算子系统可靠鲁棒H_∞控制 |
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引用本文: | 陈金玉,肖民卿.基于连续故障模型的Delta算子系统可靠鲁棒H_∞控制[J].控制与决策,2009,24(9). |
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作者姓名: | 陈金玉 肖民卿 |
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作者单位: | 1. 重庆大学自动化学院,重庆,400044 2. 福建师范大学数学与计算机科学学院,福州,350007 |
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基金项目: | 国家自然科学基金,福建省教育厅科技基金 |
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摘 要: | 研究具有执行器故障的Delta算子线性不确定系统的可靠鲁棒H_∞问题.设计控制器,确保在执行器发生故障时闭环系统仍能保持鲁棒稳定,且满足给定的H_∞指标.针对执行器连续故障模型,运用线性矩阵不等式方法,得到Delta算子系统α-次优可靠鲁棒H_∞状态反馈控制器的存在条件和设计方法,并进一步给出了Delta算子系统最优可靠鲁棒H_∞控制器的设计方法.数值算例表明,该设计方法是有效而可行的.Abstract:The reliable robust H_∞ control problem is studied for the Delta operator systems with actuator failure.The purpose is to design a controller which can tolerate actuator failures,such that the Delta operator closed-loop system is asymptotic stable for all admissible uncertainties,and the H_∞-performance index of the closed-loop system is less than a given upper bound.A more practical model of actuator failure,continuous failure model,is considered.A sufficient condition for the existence of the state feedback α-suboptimal reliable robust H_∞ controllers is derived by using the linear matrix inequality approach.Then the design procedures of such controllers and optimal reliable robust H_∞ controllers are proposed respectively.A numerical example demonstrates the effectiveness and feasibility of the design methods.
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关 键 词: | Delta算子系统 执行器故障 可靠控制 鲁棒H_∞控制 线性矩阵不等式 |
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