基于动态事件触发机制的饱和2-D系统输出反馈H_(∞)控制

Output feedback H_(∞)control for saturated 2-D systems under the dynamic event-triggered mechanism

针对一类由Roesser模型描述的饱和2-D系统,为了缓解网络数据传输压力,研究基于动态事件触发机制的输出反馈H_(∞)控制器设计问题.首先,构建此类不确定饱和2-D系统的数学模型;其次,提出一种动态事件触发机制决定当前信息能否传输到网络,以降低信号的更新频率;运用Lyapunov函数方法,通过引入非负标量μ,得到保证相应闭环系统满足一定H_(∞)性能指标的充分条件及输出反馈控制器的存在性判据;此外,利用锥补线性化算法,将输出反馈控制器的设计问题转化为线性矩阵不等式约束下的非线性最小化问题;最后,结合数值仿真验证基于动态事件触发机制的输出反馈控制方法的有效性和可行性.

To alleviate the pressure of network data transmission,the output feedback H_(∞)controller design problem is investigated for a class of saturated 2-D systems described by the Roesser model under the dynamic event-triggered mechanism.First,the mathematical model of such an uncertain saturated 2-D system is developed.Second,in order to reduce the update frequency of the signal,a dynamic event-triggered mechanism is proposed to determine whether the current information can be transmitted to the network.Based on the Lyapunov function method,a sufficient condition is given to ensure that the corresponding closed-loop system meets the certain H_(∞)performance index,and the existence criterion for the output feedback controller is obtained by introducing a non-negative scalarμ.Moreover,with the aid of the cone complement linearization algorithm,the design problem of the output feedback controller can further be transformed into a nonlinear minimization problem constrained by linear matrix inequalities.Finally,the numerical simulation is presented to verify the effectiveness and feasibility of the output feedback control scheme.