Generalized non-fragile asynchronous mixed $$H_\infty $$ H ∞ and passive output tracking control for neutral Markov jump systems

This paper dealt with the problem of output tracking for neutral Markov jump systems with multiple delays based on generalized non-fragile asynchronous feedback control. Attention is focused on the design of generalized non-fragile asynchronous feedback controller to ensure that the closed-loop system is stochastically stabilization and meet an expected mixed $$ H_\infty $$ and passivity performance index. The modes of devised generalized non-fragile asynchronous feedback controller are assumed to run asynchronously with neutral Markov jump systems, which is described by a hidden Markov model. The sufficient conditions for the solvability of generalized non-fragile asynchronous feedback control problem are obtained based on decomposed free weighting matrices technique and linear matrix inequalities. The usefulness and effectiveness of output tracking based on generalized non-fragile asynchronous feedback controller are demonstrated by a numerical example and a practical example of neutral partial element equivalent circuit.