This paper presents an Inter-Defender Collision-Aware Interception Strategy (IDCAIS) for defenders to intercept attackers in order to defend a protected area, such that each defender also avoids collision with other defenders. In particular, the defenders are assigned to intercept attackers using a mixed-integer quadratic program (MIQP) that: 1)minimizes the sum of times taken by defenders to capture the attackers under time-optimal control, and2) helps eliminate or delay possible future collisions among the defenders on the optimal trajectories. To prevent inevitable collisions on optimal trajectories or collisions arising due to time-sub-optimal behavior by the attackers, a minimally augmented control using exponential control barrier function (ECBF) is provided. Simulations show the efficacy of the approach.
翻译:本文介绍了人权维护者为保卫保护区而拦截攻击者以保卫每个捍卫者也避免与其他捍卫者发生碰撞的跨防御碰撞-软件拦截战略(IDCAIS),特别是,人权维护者被指派使用混合内插二次方案拦截攻击者,该方案:(1) 尽量减少人权维护者在时间最佳控制下捕捉攻击者所花时间的总和,(2) 帮助消除或推迟今后人权维护者在最佳轨道上可能发生的碰撞;为防止袭击者在最佳轨迹上不可避免的碰撞或因时间次优行为而发生的碰撞,提供了使用指数控制屏障功能的最低限度强化控制;模拟显示了方法的有效性。