H∞ Control of Linear Networked and Quantized Control Systems With Communication Delays and Random Packet Losses
针对同时存在通信时延和随机丢包的线性网络化与量化控制系统，建立了离散时间随机系统模型，并给出保证输入状态稳定和H∞性能的充分条件，同时提出最小化稳定增益和H∞衰减水平的算法。
This article studies the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathcal {H}_{\infty }$ </tex-math></inline-formula> control problem for linear networked and quantized control systems (NQCSs) with both communication delays and random packet losses. To deal with network-induced constraints and random packet dropouts, a novel discrete-time stochastic system model is developed for continuous-time networked control systems, and further overapproximated to a polytopic system with norm-bounded uncertainty. Based on the overapproximated system model, sufficient conditions are established for linear NQCSs in different cases to guarantee both input-to-state stability and <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathcal {H}_{\infty }$ </tex-math></inline-formula> performance with respect to the network-induced errors. Furthermore, we propose an algorithm to minimize the stability gain and the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathcal {H}_{\infty }$ </tex-math></inline-formula> attenuation level simultaneously. Finally, a numerical example is given to illustrate the developed results.