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H 2 optimal decoupling of previewed signals in the discrete-time case

Giovanni Marro, Domenico Prattichizzo, Elena Zattoni (2002)

Kybernetika

The synthesis of a feedforward unit for H 2 optimal decoupling of measurable or previewed signals in discrete-time linear time-invariant systems is considered. It is shown that an H 2 optimal compensator can be achieved by connecting a finite impulse response (FIR) system and a stable dynamic unit. To derive the FIR system convolution profiles an easily implementable computational scheme based on pseudoinversion (possibly nested to avoid computational constraints) is proposed, while the dynamic unit...

H sliding mode control for Markov jump systems with interval time-varying delays and general transition probabilities

Lingchun Li, Guangming Zhang, Meiying Ou, Yujie Wang (2019)

Kybernetika

This paper is devoted to design H sliding mode controller for continuous-time Markov jump systems with interval time-varying delays and general transition probabilities. An integral sliding surface is constructed and its reachability is guaranteed via a sliding mode control law. Meanwhile, a linearisation strategy is applied to treat the nonlinearity induced by general transition probabilities. Using a separation method based on Finsler lemma to eliminate the coupling among Lyapunov variables and...

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