Hierarchical Control for Continuous-time Systems via General Approximate Alternating Simulation Relations
For control engineers working with complex continuous-time systems, this provides a more flexible hierarchical control framework, though the improvement is incremental.
This paper introduces a general approximate alternating simulation relation for continuous-time systems that tolerates larger mismatches between abstract and concrete models, enabling more flexible hierarchical control. Case studies demonstrate its effectiveness over existing methods.
This paper introduces a general approximate alternating simulation relation (\emph{$\varepsilon$-gAAS relation}) for continuous-time systems, which relaxes existing simulation relations to tolerate larger mismatches between abstract and concrete models. The definition of gAAS for continuous-time systems is first proposed, and its properties are investigated. Then, a control refinement method is developed to enable hierarchical control for the gAAS relation. Finally, case studies demonstrate the effectiveness of the proposed approach, highlighting its advantages over existing methods.