arXiv:2608.15375eess.SYcs.RO2026-08

针对非对称执行器约束,提出可保持安全性的递归控制框架。

Admissibility-Preserving Control for Strict-Feedback Nonlinear Systems with Asymmetric Actuator Constraints

论文配图:Admissibility-Preserving Control for Strict-Feedback Nonlinear Systems with Asymmetric Actuator Constraints
图 1 · 摘自论文原文
  • 通过动态实现模块实时生成满足约束的输入信号
  • 保证输出安全与执行器限幅/速率约束同时满足
  • 适合需要高安全性与精确控制的工业系统

本文提出一种面向严格反馈系统的自适应安全控制框架(APC),用于处理非对称执行器限制、时变输出约束及执行器速率限制。该框架中的约束实现模块(APIR)以连续可微的动态方式生成物理输入,使预设的非对称执行器集保持前向不变。不同于传统代数截断和事后补偿,其参数可调且具有明确物理意义。通过将实现后的输入作为额外状态,结合递归反步法设计,无需假设未控系统输入-状态稳定。非线性漂移项通过递归补偿,需满足期望运动、可用控制能力与内部增益之间的显式兼容条件。框架进一步扩展至时变输出安全跟踪(采用平滑非对称对数障碍坐标)和同时处理幅值与速率约束(级联式APIR)。李雅普诺夫与不变性分析证明了区域渐近跟踪、容许集前向不变性及闭环信号有界性。数值实验验证了非对称执行器的有效利用、输出安全保护及幅值-速率约束的协同满足。

原文摘要 · Abstract (English)

This paper develops Admissibility-Preserving Control (APC), a realization-centered safety-critical control framework for strict-feedback systems subject to asymmetric actuator limits, time-varying output constraints, and actuator-rate limitations. APC denotes the overall control architecture, whereas an Admissibility-Preserving Input Realization (APIR) denotes its constraint-realization module. Therein, the APIR dynamically generates the physical plant input while rendering its prescribed asymmetric actuator set forward invariant. In contrast to algebraic clipping and post-design saturation compensation, the actuator limits are embedded directly in a continuously differentiable dynamic realization with user-selectable regularity and interpretable tuning parameters. The APIR is integrated with recursive backstepping by treating the realized plant input as an additional state. The resulting design does not require an input-to-state stability assumption on the uncontrolled plant. Instead, the nonlinear drift terms are compensated recursively, subject to an explicit compatibility condition between the desired motion, the available control authority, and the APIR interior gain. The framework is further extended to time-varying output-safe tracking through a smooth asymmetric logarithmic barrier coordinate and its associated Lyapunov function and to simultaneous actuator-magnitude and rate constraints through a cascaded APIR. Rigorous Lyapunov and invariance analyses establish regional asymptotic tracking, forward invariance of the compatible admissible sets, and boundedness of all closed-loop signals. Numerical studies illustrate asymmetric actuator utilization, output-safety preservation, and magnitude-rate constraint enforcement.

控制框架非线性系统执行器约束

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。