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Stabilization of Uncertain Discrete-Time Linear System With Limited Communication

机译：通信受限的不确定离散线性系统的镇定

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摘要

This technical note proposes a procedure to control an uncertain discrete-time networked system using an aperiodic stabilizing input information. The system is primarily affected by the time-varying, norm bounded, mismatched parametric uncertainty. Aperiodic exchange of information is done due to bandwidth constraint of the communication network. An event-triggered based robust control strategy is adopted to reduce the effects of system uncertainty in such bandwidth constrained networks. In event-triggered control, the control input is computed and actuated at the system end only when a pre-specified event condition is violated. The robust control input is derived to stabilize the uncertain system by solving an optimal control problem based on a virtual nominal dynamics and a modified cost-functional. It is shown that the robust control law with aperiodic information ensures input-to-state stability (ISS) of the original system in the presence of mismatched uncertainty. Deriving the event-triggering condition for a discrete-time uncertain system and ensuring the stability of such system analytically are the key contributions of this technical note. A numerical example is given to prove the efficacy of the proposed event-based control algorithm over the conventional periodic one.
机译：本技术说明提出了一种使用非周期稳定输入信息来控制不确定离散时间联网系统的过程。该系统主要受到时变，范数有界，不匹配的参数不确定性的影响。由于通信网络的带宽限制，完成了信息的非周期性交换。在这种带宽受限的网络中，采用基于事件触发的鲁棒控制策略来减少系统不确定性的影响。在事件触发的控制中，仅当违反了预先指定的事件条件时，才在系统端计算并激活控制输入。通过基于虚拟标称动力学和修改后的成本函数来求解最优控制问题，得出鲁棒的控制输入以稳定不确定系统。结果表明，具有不定期信息的鲁棒控制律可确保在存在不匹配不确定性的情况下原始系统的输入状态稳定性（ISS）。得出离散时间不确定系统的事件触发条件并通过分析确保这种系统的稳定性是本技术说明的关键贡献。数值例子证明了所提出的基于事件的控制算法在常规周期控制算法上的有效性。

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