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Event-triggered H ∞ static output feedback control of discrete time piecewise-affine systems

Zhuyun Xue;  Mouquan Shen — 2021

Kybernetika

This paper is concerned with the problem of H ∞ event-triggered output feedback control of discrete time piecewise-affine systems. Relying on system outputs, a piecewise-affine triggering condition is constructed to release communication burden. Resorting to piecewise Lyapunov functional and robust control techniques, sufficient conditions are built to ensure the closed-loop systems to be asymptotically stable with the prescribed H ∞ performance. By utilizing a separation strategy, the static output...

Non-fragile sampled data H ∞ filtering of general continuous Markov jump linear systems

Mouquan Shen;  Guangming Zhang;  Yuhao Yuan;  Lei Mei — 2014

Kybernetika

This paper is concerned with the non-fragile sampled data H ∞ filtering problem for continuous Markov jump linear system with partly known transition probabilities (TPs). The filter gain is assumed to have additive variations and TPs are assumed to be known, uncertain with known bounds and completely unknown. The aim is to design a non-fragile H ∞ filter to ensure both the robust stochastic stability and a prescribed level of H ∞ performance for the filtering error dynamics. Sufficient conditions for...

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