A new control synthesis approach is proposed for linear parametrically
varying (LPV) systems using parameter-dependent quadratic Lyapunov fu
nctions. The synthesis problem is formulated via a set of linear matri
x inequalities (LMIs). When solved, parameter-dependent controllers ar
e obtained that stabilize the LPV systems and achieve guaranteed perfo
rmance in an L-2-gain sense. The new approach includes the case of par
ameter-independent Lyapunov functions, and as a result provides additi
onal flexibility in the control design. (C) 1997 Elsevier Science B.V.