Observer-Based Control of 2-D Jump Systems Subject to Partially known Transition Probabilities

This paper concerns the issue of asynchronous observer-based control for 2-D Markov jump systems with partially unknown transition probabilities.The hidden Markov model is employed to address the asynchronous issue between the controlled system and the controlle.Taking into account the unmeasurable system modes and states in practical engineering, an observer-based control scheme is established.The criteria for analyzing the performance of 2-D Markov jump systems is constructed utilizing the Lyapunov function technique, and a strategy for designing an observer-based controller is proposed.Finally, the numerical example incorporating Markov jump parameters is utilized to demonstrate the feasibility of the proposed control strategy. CCS Concepts Theory of computation Design and analysis of algorithms.