Static Output Feedback Stabilization with H∞ Performance for Discrete-Time Piecewise Affine Systems: An LMI Approach

Juan Wang; Tao Zhang

doi:10.4028/www.scientific.net/AMM.48-49.1112

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 48-49Static Output Feedback Stabilization with H∞...

Static Output Feedback Stabilization with H_∞ Performance for Discrete-Time Piecewise Affine Systems: An LMI Approach

Abstract:

A static output feedback (SOF) control schemes are proposed. The basic idea of it is to construct piecewise quadratic Lyapunov function and introduce a dissipation inequality to guarantee the system energy dissipation. It is shown that the controller analysis or the synthesis problem can be casted as convex optimization problem, and the controller can be obtained by solving a set of linear matrix inequalities. The designed controllers not only guarantee the stability of the closed-loop systems, but also obtain the disturbance attenuation ability.

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Periodical:

Applied Mechanics and Materials (Volumes 48-49)

Pages:

1112-1115

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.48-49.1112

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Online since:

February 2011

Authors:

Juan Wang, Tao Zhang

Keywords:

Linear Matrix Inequality Approach, Piecewise Affine System, Static Output Feedback

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References

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