Robust H2/H∞Control Strategy for Linear Markovian Jump Systems

Min Bian; Qing Yun Guo

doi:10.4028/www.scientific.net/AMM.525.646

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 525Robust H2/H∞Control Strategy for Linear Markovian...

Robust H₂/H_∞Control Strategy for Linear Markovian Jump Systems

Abstract:

The robust H₂/H_∞ control strategy for a class of linear continuous-time uncertain systems with randomly jumping parameters is investigated. The transition of the jumping parameters is decided by a finite-state Markov process. The uncertainties are supposed to be norm-bounded. It is desired to design a linear state feedback control strategies such that the closed-loop system satisfies H performance and minimizes the H₂ norm of the system. A sufficient condition is first established on the existence of the robust H₂/H_∞controller bases on the bounded real lemma. Then the corresponding state-feedback law is given in terms of a set of linear matrix inequalities (LMIs). It is showed that this condition is equivalent to the feasible solutions problem of LMI. Furthermore, the control strategy design problem is converted into a convex optimization problem subject to LMI constraints, which can be easily solved by standard numerical software.

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Periodical:

Applied Mechanics and Materials (Volume 525)

Pages:

646-652

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.525.646

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Online since:

February 2014

Authors:

Min Bian*, Qing Yun Guo

Keywords:

Control Strategy, H₂/H_∞, Markovian Jump, Robust Control

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References

[1] Tao Wang, Jikun Li, Mixed Robust H2/H∞ Control of Linear Parameter-varying System, Control Engineering of China, vol. 14, no. 5, pp.465-526, (2007).

Google Scholar

[2] Jinhua Wang, Design of mixed H2/H∞ controller, Control Theory and Applications, vol. 21, no. 1. pp.45-53, (2004).

Google Scholar

[3] Lixian Zhang, El-Kebir Boukas, Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities. Automatica, vol. 45, pp.463-468, (2009).

DOI: 10.1016/j.automatica.2008.08.010

Google Scholar

[4] Guoliang Wang, Qingling Zhang, Victor Sreeram. Design of reduced-order H∞ filtering for Markovian jump systems with mode-dependent time delays. Signal Processing, vol. 89, pp.187-196, (2009).

DOI: 10.1016/j.sigpro.2008.08.004

Google Scholar

[5] Shuping Ma, Chenghui Zhang, Xinzhi Liu, Robust stability and H∞ control for uncertain discrete-time Markovian jump singular systems, Control Theory and Applications, vol. 6, no. 2, p.133–140, (2008).

DOI: 10.1007/s11768-008-6205-0

Google Scholar

[6] O.L.V. Costa and E.F. Tuesta, H2 Control and the Separation Principle for Discrete-Time Markovian Jump Linear Systems, Mathematics of Control, Signals, and Systems, vol. 16, p.320–350, (2004).

DOI: 10.1007/s00498-004-0142-3

Google Scholar