Automatica, Vol.45, No.9, 2060-2066, 2009
An LMI approach to H-infinity boundary control of semilinear parabolic and hyperbolic systems
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-infinity static output feedback boundary controllers of the systems in question. (C) 2009 Elsevier Ltd. All rights reserved.