Impact of Mode Decision Delay on Estimation Error in Continuous-Time Controlled System

Abstract

For highly maneuvering target interception in terminal guidance, the maximal admissible mode decision delay (MAMDD) and the least required mode sojourn time (LRMST) are calculated in continuous-time controlled system. The lateral acceleration command of the evader is modeled as a jump-Markov process. Suppose that the mode switches are observable and the evader’s motion mode is correctly identified by a separate mode decision-maker with a fixed time delay, then the error model of the state estimation is derived. By limiting the state estimation error to a certain range, MAMDD and LRMST are calculated. The derivation is validated by a typical instance of tactical ballistic missile interception. The results in this paper provide a useful tool for guiding the design of the mode decision-maker and evaluating the performance of the logic-based integrated estimation and guidance system.

Keywords

• Continuous-time controlled system
• highly maneuvering target interception
• least required mode sojourn time
• maximal admissible mode decision delay
• state estimation error