论文标题
在风险信号时间逻辑规格下的非单位系统系统的控制障碍功能
Control Barrier Functions for Nonholonomic Systems under Risk Signal Temporal Logic Specifications
论文作者
论文摘要
时间逻辑为表达复杂系统规范提供了形式主义。在此类规格下,大量文献解决了确定性系统的验证和控制综合问题。但是,对于在未知环境中运行的随机系统或系统,到目前为止,仅考虑满足规范的可能性,忽略了不满足规范的风险。为了解决这一缺点,我们首次考虑风险指标,例如(但不限于)有条件的危险价值,并提出了风险信号的时间逻辑。具体而言,我们将风险指标与随机谓词组成,以考虑违反某些空间规格的风险。作为这种随机性的特定实例,我们考虑在未知环境中的控制系统,并确定风险信号时间逻辑规范,以将随机控制问题转换为确定性问题。对于单轮样动力学,我们将以前的工作扩展到确定性时变屏障功能上。
Temporal logics provide a formalism for expressing complex system specifications. A large body of literature has addressed the verification and the control synthesis problem for deterministic systems under such specifications. For stochastic systems or systems operating in unknown environments, however, only the probability of satisfying a specification has been considered so far, neglecting the risk of not satisfying the specification. Towards addressing this shortcoming, we consider, for the first time, risk metrics, such as (but not limited to) the Conditional Value-at-Risk, and propose risk signal temporal logic. Specifically, we compose risk metrics with stochastic predicates to consider the risk of violating certain spatial specifications. As a particular instance of such stochasticity, we consider control systems in unknown environments and present a determinization of the risk signal temporal logic specification to transform the stochastic control problem into a deterministic one. For unicycle-like dynamics, we then extend our previous work on deterministic time-varying control barrier functions.