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arXiv 2602.10752eess.SYcs.SY

通过植物等效控制器实现提升CACC对参数不确定性的鲁棒性

Improving Cooperative Adaptive Cruise Control Robustness to Parametric Uncertainty via Plant Equivalent Controller Realizations

Eindhoven University of Technology(埃因霍温理工大学);Singapore University of Technology and Design(新加坡科技设计大学)

Mischa Huisman, Thomas Arnold, Erjen Lefeber, Nathan van de Wouw, Carlos Murguia

AI总结:

本文提出通过优化植物等效控制器实现CACC在参数不确定性下的鲁棒性提升,采用凸优化方法确保稳定性和性能。

摘要:

协同自适应跟车控制系统(CACC)通过车辆间通信实现车辆编队,提高交通效率和安全性。传统CACC依赖反馈线性化,假设车辆参数精确;然而,纵向车辆动力学是非线性的,并受参数不确定性的影响。应用反馈线性化与名义模型会产生不完全的抵消,导致模型不匹配和使用现成CACC控制器时性能下降。为了在不重新设计CACC规则的情况下提高鲁棒性,我们明确建模CACC设计所假设的理想闭环动力学与参数不确定性下的实际动力学之间的不匹配。鲁棒性被公式化为一个$\mathcal{L}_2$轨迹匹配问题,通过最小化这种不匹配的能量,使不确定系统尽可能接近理想模型。这一目标通过优化保持名义闭环行为的同时减轻参数不确定性影响的植物等效控制器(PEC)实现。通过线性矩阵不等式确保稳定性和性能,得到一个适用于异构编队的凸优化问题。实验结果表明,在参数不确定性下,改进了鲁棒性和性能,同时保持名义CACC行为。

英文摘要:

Cooperative Adaptive Cruise Control (CACC) enables vehicle platooning through inter-vehicle communication, improving traffic efficiency and safety. Conventional CACC relies on feedback linearization, assuming exact knowledge of vehicle parameters. However, the nonlinear longitudinal vehicle dynamics are subject to parametric uncertainty. Applying such feedback linearization with a nominal model yields imperfect cancellation, leading to model mismatch and degraded performance with off-the-shelf CACC controllers. To improve robustness without redesigning the CACC law, we explicitly model the mismatch between the ideal closed-loop dynamics, assumed by the CACC design, and the actual dynamics under parametric uncertainties. Robustness is formulated as an $\mathcal{L}_2$ trajectory-matching problem, minimizing the energy of this mismatch to make the uncertain system behave as closely as possible to the ideal model. This objective is addressed by optimizing over plant equivalent controller (PEC) realizations that preserve the nominal closed-loop behavior while mitigating the effects of parametric uncertainty. Stability and performance are enforced via LMIs, yielding a convex optimization problem applicable to heterogeneous platoons. Experimental results demonstrate improved robustness and performance under parametric uncertainty while preserving nominal behavior.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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