A Novel Approach to Reliable Output Feedback Control of Fuzzy-Affine Systems With Time Delays and Sensor Faults
A Novel Approach to Reliable Output Feedback Control of Fuzzy-Affine Systems With Time Delays and Sensor Faults
复制标题
具有时滞和传感器故障的模糊仿射系统可靠输出反馈控制的新方法
DOI：
10.1109/tfuzz.2016.2633323
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发表时间：
2017-12
影响因子：
11.9
通讯作者：
Yanling Wei
中科院分区：
文献类型：
--
作者：
Yanling Wei
针对具有时变时滞和传感器故障的非线性系统，在基于分段马尔可夫-李雅普诺夫泛函的框架下，提出了一种新的时滞相关可靠分段仿射$\mathscr {H}_{\infty }$静态输出反馈控制方法.非线性对象由具有参数不确定性的连续时间Takagi-Sugeno模糊仿射模型描述，传感器故障由马尔可夫过程表征。具体地说，通过应用状态输入增广技术，原闭环系统首先重新制定为一个广义模糊仿射系统。基于一个新的分段马尔可夫Lyapunov-Krasovskii泛函，结合一个基于Wirtinger的积分不等式、改进的凸积分不等式和S-过程，得到了闭环系统的一个新的有界真实的引理.此外，通过利用冗余的广义系统制定，连同线性化过程中，分段仿射控制器的综合进行。结果表明，所需的分段仿射控制器增益可以通过求解线性矩阵不等式为基础的优化问题。最后通过仿真算例验证了该方法的有效性和较小的保守性。
This paper proposes a novel system-augmentation approach to the delay-dependent reliable piecewise-affine $\mathscr {H}_{\infty }$ static output feedback control for nonlinear systems with time-varying delay and sensor faults in the piecewise-Markovian-Lyapunov-functional-based framework. The nonlinear plant is described by a continuous-time Takagi–Sugeno fuzzy-affine model with parametric uncertainties, and the sensor faults are characterized by a Markov process. Specifically, by applying a state-input augmentation technique, the original closed-loop system is first reformulated into a descriptor fuzzy-affine system. Based on a new piecewise-Markovian Lyapunov–Krasovskii functional, combined with a Wirtinger-based integral inequality, improved reciprocally convex inequality, and S-procedure, a novel bounded real lemma is then derived for the underlying closed-loop system. Furthermore, by taking advantage of the redundancy of descriptor system formulation, together with a linearization procedure, the piecewise-affine controller synthesis is carried out. It is shown that the desired piecewise-affine controller gains can be attained by solving a linear matrix inequality based optimization problem. Finally, simulation examples are performed to confirm the effectiveness and less conservatism of the presented approach.
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影响因子：
11.9
作者：
H. Lam;Ligang Wu;J. Lam
通讯作者：
H. Lam;Ligang Wu;J. Lam
DOI：
10.1115/1.2718236
发表时间：
2007-05
影响因子：
1.7
作者：
Huai‐Ning Wu
通讯作者：
Huai‐Ning Wu
影响因子：
11.9
作者：
Euntai Kim;Chang-Hoon Lee;Youngwan Cho
通讯作者：
Euntai Kim;Chang-Hoon Lee;Youngwan Cho
DOI：
10.1109/is.2008.4670425
发表时间：
2008-11
期刊：
2008 4th International IEEE Conference Intelligent Systems
影响因子：
--
作者：
A. Boulkroune;M. M'Saad;Mohamed Tadjine;M. Farza
通讯作者：
A. Boulkroune;M. M'Saad;Mohamed Tadjine;M. Farza
DOI：
10.1016/s0005-1098(98)00072-7
发表时间：
1998
期刊：
Autom.
影响因子：
--
作者：
Qing Zhao;J. Jiang
通讯作者：
Qing Zhao;J. Jiang