T–S Fuzzy-Affine-Model-Based Reliable Output Feedback Control of Nonlinear Systems with Actuator Faults
T–S Fuzzy-Affine-Model-Based Reliable Output Feedback Control of Nonlinear Systems with Actuator Faults
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DOI：
10.1007/s00034-017-0547-0
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发表时间：
2017-04
期刊：
影响因子：
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通讯作者：
Yanling Wei;Jianbin Qiu;Xiuyan Peng;H. Lam
中科院分区：
文献类型：
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作者：
Yanling Wei;Jianbin Qiu;Xiuyan Peng;H. Lam
针对具有马尔可夫跳变执行器故障的连续时间非线性系统，提出了一种奇异系统的可靠静态输出反馈控制方法。在Takagi-Sugeno模糊仿射（FA）环境中对非线性对象进行近似，并采用马尔可夫链来描述执行器故障现象。具体地说，利用奇异模型转换策略，传统的闭环系统转换成一个奇异的FA系统。通过构造一个依赖于模态的李雅普诺夫函数，调用S-过程和一些凸化技术，通过凸规划对底层系统进行可靠的分段SOF控制器设计.最后给出了一个说明性的例子来显示所开发的方法的有效性。
This article presents a singular system approach to the reliablestatic output feedback (SOF) control for continuous-time nonlinear systems with Markovian jumping actuator faults. The approximation of nonlinear plants is carried out in a Takagi–Sugeno fuzzy-affine (FA) environment, and the Markov chain is adopted to characterize the actuator failure phenomenon. Specifically, by utilizing a singular model transformation strategy, the traditional closed-loop system is converted into a singular FA system. With the construction of a mode-dependent Lyapunov function, and invoking S-procedure and some convexifying techniques, the reliable piecewise SOF controller design is then carried out for the underlying systems via a convex program. An illustrative example is finally given to show the efficacy of the developed method.