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一类非线性参数化时滞系统的鲁棒自适应衰减问题
Robust Adaptive Disturbance Attenuation for a Class of Nonlinearly Parameterized with Time-Delay Systems
【摘要】 研究了一类虚拟控制系数未知的非线性参数化时滞系统的自适应衰减问题.利用参数分离技术和backstepping设计方法构造自适应H∞控制器,使闭环系统在L2增益下从干扰输入到系统输出的影响任意小,并且无外部干扰时,系统内稳.
【Abstract】 The problem of adaptive disturbance attenuation is addressed for a class of nonlinearly parameterized delayed systems with unknown virtual control coefficients.Using parameter separation and backstepping technique,a novel adaptive H∞controller is constructed. The proposed controller guarantees the effect from external disturbance to the system output in sense of L2gain arbitrarily small.and the system states are asymptotically stable without disturbance.
【关键词】 非线性参数化系统;
时滞;
自适应;
backstepping;
干扰衰减;
【Key words】 nonlinearly parameterized systems; time-delay; adaptive; backstepping; disturbance attenuation;
【Key words】 nonlinearly parameterized systems; time-delay; adaptive; backstepping; disturbance attenuation;
【基金】 国家自然科学基金(60674020,61073065);河南省基础与前沿技术研究计划项目(092300410145);河南省教育厅自然科学基金(2009B110003,2010B120001)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2011年05期
- 【分类号】TP13
- 【下载频次】56