基于观测器的不确定简单互联电力系统的事件触发控制
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摘要
针对状态不完全可测的不确定非线性简单互联电力系统,依据T-S模型能够无限逼近特性处理了电力系统的非线性问题,设计了状态观测器来估计系统的状态,并利用并行分布补偿原则和事件触发机制设计了基于观测器状态的模糊控制器。采用李雅普诺夫稳定性理论分析了闭环系统的渐近稳定性,并以线性矩阵不等式的形式给出了使系统稳定的充分条件。最后给出了验证该设计方法有效的仿真例子。
Uncertain nonlinear simple interconnected power systems are investigated when the states are not completely available based on the infinite approximation property of T-S modes. An fuzzy observer is designed to estimate the states of the systems, and the fuzzy controller is given based on the observer's states by using parallel distributed compensation(PDC) and event-triggered mechanism. The asymptotical stability of the closed-loop systems is analyzed based on the Lyapunov stability theory and the sufficient conditions of guaranteeing the stability of the systems are given in terms of linear matrix inequalities. A simulation example verifies the effectiveness of the proposed method.
Uncertain nonlinear simple interconnected power systems are investigated when the states are not completely available based on the infinite approximation property of T-S modes. An fuzzy observer is designed to estimate the states of the systems, and the fuzzy controller is given based on the observer's states by using parallel distributed compensation(PDC) and event-triggered mechanism. The asymptotical stability of the closed-loop systems is analyzed based on the Lyapunov stability theory and the sufficient conditions of guaranteeing the stability of the systems are given in terms of linear matrix inequalities. A simulation example verifies the effectiveness of the proposed method.
引文
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[3]范乔乔.关于非线性系统的稳定性分析与反馈控制研究[D].石家庄:河北科技大学,2018.
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[6]夏静萍,姜斌,张柯.一类互联非线性系统的分布式故障估计观测器设计[J].控制与决策,2019,34(4):727-734.
[7]郭白璐,肖小庆.能源混沌系统基于事件触发采样的同步算法[J].太原科技大学学报,2018,39(5):337-341.
[8]张扬.基于输出反馈的连续系统事件触发控制研究[D].合肥:安徽大学,2018.
[9]王峰.柔性关节机器人的参数辨识及模糊控制研究[D].北京:北京邮电大学,2012.
[10]张立众,马永翔.模糊控制系统稳定性判定方法的研究[J].哈尔滨商业大学学报:自然科学版,2017,33(5):575-576,598.
[11]钟智雄.基于T-S模糊模型的非线性互联大系统的鲁棒控制与滤波[D].哈尔滨:哈尔滨工业大学,2015.
[12]卢强,孙元章.电力系统非线性控制[M].北京:科学出版社,1993.
[13]Tong S C,Li H X.Observer-Based robust fuzzy control of nonlinear systems with parametric uncertainties[J].Fuzzy Sets and Systems,2002,131(2):154-165.
[14]Xie L.Output feedback control of systems with parameter uncertainties[J].Int J Control,1996,63(4):741-750.
[15]佟绍成,王艳平,王涛.基于状态观测器的一类非线性系统的模糊鲁棒控制[J].控制与决策,2001,16(1):62-64.
[2]王永婧.基于T-S模型的非线性系统模型预测控制器设计[D].石家庄:河北科技大学,2018.
[3]范乔乔.关于非线性系统的稳定性分析与反馈控制研究[D].石家庄:河北科技大学,2018.
[4]杨飞生,汪璟,潘泉.基于事件触发机制的网络控制研究综述[J].控制与决策,2018,33(6):969-977.
[5]孙延修.一类非线性相似广义互联系统的区间观测器设计[J].沈阳大学学报:自然科学版,2018,30(3):228-231.
[6]夏静萍,姜斌,张柯.一类互联非线性系统的分布式故障估计观测器设计[J].控制与决策,2019,34(4):727-734.
[7]郭白璐,肖小庆.能源混沌系统基于事件触发采样的同步算法[J].太原科技大学学报,2018,39(5):337-341.
[8]张扬.基于输出反馈的连续系统事件触发控制研究[D].合肥:安徽大学,2018.
[9]王峰.柔性关节机器人的参数辨识及模糊控制研究[D].北京:北京邮电大学,2012.
[10]张立众,马永翔.模糊控制系统稳定性判定方法的研究[J].哈尔滨商业大学学报:自然科学版,2017,33(5):575-576,598.
[11]钟智雄.基于T-S模糊模型的非线性互联大系统的鲁棒控制与滤波[D].哈尔滨:哈尔滨工业大学,2015.
[12]卢强,孙元章.电力系统非线性控制[M].北京:科学出版社,1993.
[13]Tong S C,Li H X.Observer-Based robust fuzzy control of nonlinear systems with parametric uncertainties[J].Fuzzy Sets and Systems,2002,131(2):154-165.
[14]Xie L.Output feedback control of systems with parameter uncertainties[J].Int J Control,1996,63(4):741-750.
[15]佟绍成,王艳平,王涛.基于状态观测器的一类非线性系统的模糊鲁棒控制[J].控制与决策,2001,16(1):62-64.