Brief paper: An LMI approach to H∞ boundary control of semilinear parabolic and hyperbolic systems

Authors:
Emilia Fridman;Yury Orlov
Affiliations:
School of Electrical Engineering, Tel Aviv University, Tel Aviv 69978, Israel;CICESE Research Center, Km.107, Carretera Tijuana-Ensenada, Ensenada, B.C. 22 860, Mexico
Venue:
Automatica (Journal of IFAC)
Year:
2009

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Abstract

Exponential stability analysis and L"2-gain analysis are developed for scalar uncertain distributed parameter systems, governed by semilinear partial differential equations of parabolic and hyperbolic types. Sufficient exponential stability conditions with a given decay rate are derived in the form of Linear Matrix Inequalities (LMIs) for both systems. These conditions are then utilized to synthesize H"~ static output feedback boundary controllers of the systems in question.