Electrical Engineering and Systems Science > Systems and Control
[Submitted on 1 Sep 2025
(v1)
, last revised 8 Sep 2025 (this version, v2)]
Title: Maximally Resilient Controllers under Temporal Logic Specifications
Title: 在时间逻辑规范下的最大弹性控制器
Abstract: In this paper, we consider the notion of resilience of a dynamical system, defined by the maximum disturbance a controlled dynamical system can withstand while satisfying given temporal logic specifications. Given a dynamical system and a specification, the objective is to synthesize the controller such that the closed-loop system satisfies this specification while maximizing its resilience. The problem is formulated as a robust optimization program where the objective is to compute the maximum resilience while simultaneously synthesizing the corresponding controller parameters. For linear systems and linear controllers, exact solutions are provided for the class of time-varying polytopic specifications. For the case of nonlinear systems, nonlinear controllers and more general specifications, we leverage tools from the scenario optimization approach, offering a probabilistic guarantee of the solution as well as computational feasibility. Different case studies are presented to illustrate the theoretical results.
Submission history
From: Youssef Ait Si [view email][v1] Mon, 1 Sep 2025 21:22:49 UTC (1,052 KB)
[v2] Mon, 8 Sep 2025 18:55:54 UTC (1,052 KB)
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