CAJ | 학술논문

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.
연구료대유선형비선성화불완미측량적리산시간계통적수출반궤진정문제.소제출적공제률모형동시고필료망락유도적시체、주포화신호양화.통과선취흡당적리아보낙부범함,득도료의뢰우망락상황차구유교소보수성적은정조건.거차,이일충비선성구진불등식적방식급출료정태수출반궤진정공제기적존재성준칙,해비선성구진불등식가이이용소제출적추보선성화(cone complementary linearization,CCL)방법구해.최후제공료일개수치례자험증료방법적유효성.
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.