网络环境下离散时间非线性系统量化输出反馈镇定

研究了带有扇形非线性和不完美测量的离散时间系统的输出反馈镇定问题.所提出的控制律模型同时考虑了网络诱导的时滞、丢包和信号量化.通过选取恰当的李亚谱诺夫泛函,得到了依赖于网络状况且具有较少保守性的稳定条件.据此,以一种非线性矩阵不等式的方式给出了静态输出反馈镇定控制器的存在性准则,该非线性矩阵不等式可以利用所提出的锥补线性化(cone complementary linearization,CCL)方法求解.最后提供了一个数值例子验证了方法的有效性.

Quantized output feedback stabilization for discrete-time nonlinear systems in a networked environment

The problem of output feedback stabilization for a class of discrete-time systems with sector nonlinearities and imperfect measurements was studied.A unified control law model was proposed to take network-induced delay,random packet dropout and measurement quantization into consideration simultaneously.By choosing an appropriate Lyapunov functional,an improved stability condition,which was dependent on the network status,was established for the resulting closed-loop system.Based on the results,a design criterion for the static output feedback controller was formulated in the form of nonconvex matrix inequalities,and the cone complementary linearization(CCL) procedure was exploited to solve the nonconvex feasibility problem.Finally,a numerical example was provided to illustrate the effectiveness of the proposed design method.