Abstract
A new control synthesis approach is proposed for linear parametrically varying (LPV) systems using parameter-dependent quadratic Lyapunov functions. The synthesis problem is formulated via a set of linear matrix inequalities (LMIs). When solved, parameter-dependent controllers are obtained that stabilize the LPV systems and achieve guaranteed performance in an L 2-gain sense. The new approach includes the case of parameter-independent Lyapunov functions, and as a result provides additional flexibility in the control design.
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