Observer-based output feedback controller design of piecewise discrete-time linear systems
Observer-based output feedback controller design of piecewise discrete-time linear systems
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DOI：
10.1109/tcsi.2003.808855
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发表时间：
2003-07
影响因子：
5.1
通讯作者：
G. Feng
中科院分区：
文献类型：
--
作者：
G. Feng
提出了一种基于分段李雅普诺夫函数和状态观测器的分段离散线性系统输出反馈控制器设计方法。结果表明，所得到的闭环系统是全局稳定的，控制器可以通过求解一组线性矩阵不等式组来获得，该组线性矩阵不等式组在数值上是可行的。也就是说，当采用分段李雅普诺夫函数时，控制器和观测器设计的分离原则仍然保持不变。最后给出了一个仿真算例，说明了该方法的优越性。
This brief presents an output feedback controller design method for piecewise discrete-time linear systems based on a piecewise Lyapunov function and a state observer. It is shown that the resulting closed-loop system is globally stable and the controller can be obtained by solving a set of linear matrix inequalities that is numerically feasible with commercially available software. In other words, it is shown that the separation principle of the controller and observer design is still maintained when the piecewise Lyapunov function is used. A simulation example is also given to illustrate the advantage of the proposed approach.