Output Feedback Control of Markovian Jump Repeated Scalar Nonlinear Systems
Output Feedback Control of Markovian Jump Repeated Scalar Nonlinear Systems
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DOI：
10.1007/978-3-319-31915-5_12
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发表时间：
2014
影响因子：
6.8
通讯作者：
Ligang Wu;Xiaojie Su;P. Shi
中科院分区：
文献类型：
--
作者：
Ligang Wu;Xiaojie Su;P. Shi
研究离散马尔可夫跳变重复标量非线性系统的诱导动态输出反馈控制器的设计问题。利用切换序列相关Lyapunov函数方法和正定对角占优Lyapunov函数技术，首先建立了底层系统具有诱导扰动衰减性能的随机稳定的充分条件。然后利用投影法设计出期望的全阶或降阶dofc。采用锥互补线性化方法将非凸可行性问题转化为序列最小化问题。最后，通过数值算例验证了所提方法的有效性。
This paper is concerned with the induceddynamic output feedback controller (DOFC) design problem for discrete-time Markovian jump repeated scalar nonlinear systems. By employing both the switching-sequence dependent Lyapunov function approach and the positive definite diagonally dominant Lyapunov function technique, a sufficient condition is first established, which guarantees the underlying system to be stochastically stable with an induceddisturbance attenuation performance. Then the desired full- or reduced-order DOFCs are designed by using projection approach. Cone complementarity linearization procedure is employed to cast the nonconvex feasibility problem into a sequential minimization problem. Finally, a numerical example is presented to show the effectiveness of the proposed methods.