| 引用本文: | 王申全,冯健,姜玉莲.基于标度小增益定理的离散时滞模糊系统可靠H1控制[J].控制理论与应用,2014,31(3):343~351.[点击复制] |
| WANG Shen-quan,FENG Jian,JIANG Yu-lian.Reliable H1 control for discrete-time delayed fuzzy systems via scaled small gain theorem[J].Control Theory and Technology,2014,31(3):343~351.[点击复制] |
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| 基于标度小增益定理的离散时滞模糊系统可靠H1控制 |
| Reliable H1 control for discrete-time delayed fuzzy systems via scaled small gain theorem |
| 摘要点击 2217 全文点击 1783 投稿时间：2013-05-10 修订日期：2013-10-18 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| DOI编号 10.7641/CTA.2014.30461 |
| 2014,31(3):343-351 |
| 中文关键词 T–S模糊系统 可靠控制 输入–输出方法 标度小增益定理 时变时滞 |
| 英文关键词 T–S fuzzy system reliable control input-output approach scaled small gain theorem time-varying delay |
| 基金项目 国家自然科学基金资助项目(61273164, 61034005); 国家高技术研究发展计划资助项目(2012AA040104); 中央高校基本科研业务费资 助项目(N120504002); 辽宁省自然科学基金资助项目(2013020042). |
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| 中文摘要 |
| 本文利用输入–输出方法, 研究了带有时变时滞和执行器故障的离散T–S模糊系统可靠H1控制问题, 并使
用一种更切合实际的离散齐次马尔可夫链来表示执行器故障的随机行为. 首先, 利用一类新的模型变换方法, 将离
散时滞T–S模糊系统转换为互联的两个子系统. 然后, 利用标度小增益定理分析互联子系统的随机稳定性. 通过构
造参数依赖的Lyapunov函数, 给出闭环系统输入–输出均方稳定且满足H1性能的充分条件及可靠H1控制器的设
计方法. 最后, 给出两个数值例子验证所提方法的有效性. |
| 英文摘要 |
| The reliable H1 control is investigated for discrete-time T–S (Takagi-Sugeno) fuzzy systems with timevarying
delay and actuator faults based on input-output approach. A realistic discrete-time homogeneous Markov chain is
used to represent the stochastic behavior of actuator faults. First, the discrete-time delayed T–S fuzzy system is transformed
to the form of interconnected two subsystems by a new model transformation. Furthermore, the scaled small gain theorem
is employed to analyze the stochastic stability of interconnected subsystems. By constructing a parameter-dependent
Lyapunov function, we established sufficient conditions for achieving input-output mean-square stability with H1 performances.
Meanwhile, the reliable H1 fuzzy controller design method is also presented. Two numerical examples are
provided to demonstrate the effectiveness of the proposed approach. |