A new control method for state-constrained nonlinear switched systems with application to chemical process
A new control method for state-constrained nonlinear switched systems with application to chemical process
复制标题
一种应用于化工过程的状态约束非线性切换系统新控制方法
DOI：
10.1080/00207179.2015.1013062
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发表时间：
2015
影响因子：
2.1
通讯作者：
Cheng Yi
中科院分区：
文献类型：
--
作者：
Niu Ben;Zhao Xudong;Fan Xiaodong;Cheng Yi
针对一类具有状态约束的严格反馈形式的非线性切换系统，提出了一种新的控制方法。在该方法中，首先引入一个非线性映射，将具有状态约束的切换系统控制问题转化为无约束调节变换后系统的问题。利用反推技术，所设计的状态反馈控制器确保相应的闭环系统在不违反约束的情况下渐近稳定，并且所有闭环系统的信号保持有界。此外，我们还探索了使用坐标变换来处理非对称状态约束的一般方法。最后，给出了一个化工过程的应用实例，验证了所得结果的有效性。
This paper presents a new control method for a class of nonlinear switched systems in strict feedback form with a state constraint. In the proposed approach, a nonlinear mapping is first introduced to transform the problem of controlling the switched system with state constraint to a new problem of regulating the transformed system without a constraint. By using the backstepping technique, the designed state-feedback controller ensures that the corresponding closed-loop system is asymptotically stable without violation of the constraint, and that all closed-loop signals keep bounded. Furthermore, we explore the use of a coordinate transformation to deal with an asymmetric state constraint as a generalised approach. In the end, an application example on a chemical process is shown to demonstrate the efficacy of the obtained results.