Simply structured controllers for parameter varying distributed systems
Simply structured controllers for parameter varying distributed systems
复制标题
用于参数变化的分布式系统的结构简单的控制器
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
H. Werner
中科院分区：
文献类型：
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作者：
S. S. Chughtai;H. Werner
针对大规模变参数分布式系统，提出了一种简单结构控制器综合的系统方法。设计和优化过程由两个循环组成。在内环中，采用一种有效的基于LMI的优化算法来评估闭环系统的性能。外环使用进化算子迭代地搜索实现最佳性能的控制器网络的参数。为了进行性能评价，给出了寻找这类系统诱导范数的新的充分LMI条件。通过使用参数相关的Lyapunov函数和考虑参数变化率的界，降低了分析的保守性。由于控制算法是在数字计算机上实现的，因此给出了离散时间和离散空间系统的结果。在这种形式下提出的问题是无限维的，还提出了一种网格化算法将其转化为有限维问题。文中以悬臂梁的振动主动控制和地震索的位置控制为例说明了该方法的应用。这些例子表明，这里给出的性能分析条件比以前给出的LMI条件不那么保守。该方法可用于系统地设计结构简单的低阶控制器，同时满足所有的性能要求。
This paper presents a systematic approach to the synthesis of simply structured controllers for large scale parameter varying distributed systems. The design and optimization procedure consists of two loops. In an inner loop, an efficient LMI-based optimization algorithm is used to evaluate the closed-loop performance. The outer loop uses evolutionary operators to iteratively search for the parameters of a controller network that achieves the best performance. For the purpose of performance evaluation, new sufficient LMI conditions are presented to find the induced norm of such systems. The conservatism of the analysis is reduced by the use of parameter dependent Lyapunov functions and by taking bounds on the parameter variation rates into account. Since the control algorithms are implemented on digital computers, the results are presented for discrete time and discrete space systems. The problem posed in this form is infinite dimensional, a gridding algorithm is also proposed to convert it into a finite dimensional problem. The approach is illustrated with two applications: active vibration control of a cantilever, and position control of a seismic cable. These examples illustrate that the performance analysis condition presented here is less conservative than previously presented LMI conditions. It is also demonstrated that the approach can be used to systematically design simply structured low-order controllers, while satisfying all performance requirements.