网络控制系统的输出反馈控制

将网络控制系统描述为具有输入延迟和测量输出延迟系统,给出了系统渐近稳定的定义.提出了零输入系统渐近稳定存在的充分条件,并基于一个李雅普诺夫泛函,提出了输出反馈镇定控制器存在的充分条件,通过输出反馈控制使闭环系统达到二次稳定.采用锥面互补方法,将不具有严格线性矩阵不等式(LMI)条件的非凸可行解问题转化为具有严格LMI条件的非线性最小化问题,得到了求解输出反馈控制器增益参数的静态输出反馈镇定(SOFS)算法.通过一个仿真实例,验证了该算法的有效性.

Output feedback control of networked control system

A networked control system was accredited as the system with input delay and measured output delay.The definition of asymptotic stabilization of system is given.The sufficient conditions in which the zero-input system is asymptotically stable are given.On the basis of a Lyapunov function,the sufficient conditions which there exists a output feedback stabilization controller given,the closed-loop system can be quadratic stabilized under output feedback control.Using cone complementarity method,the non-convex feasible problem without strict condition of linear matrix inequalities(LMI) is transformed to the nonlinear minimization problem with strict condition of LMI,algorithm static output feedback stabilization(SOFS) for solving the gain of output feedback controller is obtained.A simulation example validates effectivity of algorithm SOFS.