网络控制系统的事件触发与量化控制协同设计

针对资源受限的离散时间网络控制系统,提出一种基于性能优化的事件触发和量化控制协同设计方法。该方法主要通过事件触发降低网络带宽占用,采用带有缩放因子的动态量化器降低量化误差的影响,并将该网络控制系统建模成具有不确定参数的离散时间切换系统;根据稳定性和二次性能指标要求,利用分段李雅普诺夫函数和线性矩阵不等式技术将性能指标最优问题转化为具有矩阵不等式约束的优化问题,给出了保证系统渐近稳定且二次性能指标最小的事件触发器参数、动态量化器可调参数及控制器增益协同设计方法。最后,通过仿真验证了所提方法的有效性。

Co-design of event-trigger and quantized control for networked control systems

A co-design scheme of event triggered mechanism and quantized control based on optimal performance for a class of discrete time networked control system(NCS) with resource constrained is proposed. The proposed method can reduce the occupation of network bandwidth by event triggered mechanism and also reduce the quantized error by using dynamic quantizer with adjustable zooming parameters, then the NCS is modeled as a discrete time switched system with uncertain parameters. Furthermore, based on the requirement of stability and quadratic performance index, the design problem is converted into an optimization problem with linear matrix inequality (LMI) constraints by using piecewise Lyapunov function and LMI techniques, and the co-design method of corresponding event trigger parameter, the adjustable parameter of dynamic quantizer and controller gain is provided to ensure asymptotic stability and minimum quadratic performance index. Finally, we verify the effective of the proposed scheme by simulation.