Equivalent linear observer-based tracker for stochastic chaotic system with delays and disturbances

Based on the state-space self-tuning control methodology, a unified method for determining the equivalent linear observer-based tracker for a stochastic chaotic system with input and state delays and deterministic disturbances is developed. In this approach, an equivalent linear observer is obtained for the concerned complex system, which may have unknown system parameters, system and measurement noises, and inaccessible system states. More precisely, an equivalent delay-free system is obtained in the estimating process of the self-tuning control loop, and then a linear controller and an observer are designed. The proposed method significantly simplifies the design and the implementation procedures of the tracker.