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| 1 | PID Control of Planar Nonlinear Uncertain Systems in the Presence of Actuator Saturation显示文摘This paper investigates PID control design for a class of planar nonlinear uncertain systems in the presence of actuator saturation.Based on the bounds on the growth rates of the nonlinear uncertain function in the system model,the system is placed in a linear differential inclusion.Each vertex system of the linear differential inclusion is a linear system subject to actuator saturation.By placing the saturated PID control into a convex hull formed by the PID controller and an auxiliary linear feedback law,we establish conditions under which an ellipsoid is contractively invariant and hence is an estimate of the domain of attraction of the equilibrium point of the closed-loop system.The equilibrium point corresponds to the desired set point for the system output.Thus,the location of the equilibrium point and the size of the domain of attraction determine,respectively,the set point that the output can achieve and the range of initial conditions from which this set point can be reached.Based on these conditions,the feasible set points can be determined and the design of the PID control law that stabilizes the nonlinear uncertain system at a feasible set point with a large domain of attraction can then be formulated and solved as a constrained optimization problem with constraints in the form of linear matrix inequalities(LMIs).Application of the proposed design to a magnetic suspension system illustrates the design process and the performance of the resulting PID control law. | Xujun Lyu Zongli Lin | 2022 | IEEE/CAA Journal of Automatica Sinica2022，9，1： | 1 |
| 2 | 事件触发下马尔可夫跳跃神经网络的随机同步显示文摘本文研究了事件触发机制下带有随机噪声的马尔可夫跳跃神经网络的随机同步问题.为了更有效地降低数据传输量和节约网络资源,本文采用了一种事件触发控制.当传输误差和状态误差满足触发条件时,数据才能够被传输,使得主从系统可以在有限的资源和带宽下实现同步.通过构建新的Lyapunov泛函,以及使用广义Dynkin公式和不等式分析方法,得到误差系统的稳定性条件,并能够进一步保证主系统和从系统的随机同步.最后利用MATLAB进行仿真实验,结果表明与采样数据控制相比,事件触发控制能够有效减少数据传输次数,同时该数值例子验证了所得结果的可行性以及有效性. | 陆丹旎 童东兵 陈巧玉 周武能 | 2022 | 控制理论与应用2022，39，2： | 1 |
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