Finite-frequency Fixed-Order Dynamic Output-Feedback Control Via a Homogeneous Polynomially Parameter-Dependent Technique

•The generalized KYP lemma is employed to characterize the finite-frequency specifications, paving the way for improved disturbance-attenuation specification over the specified frequency range.•In light of the HPPD technique, we establish less conservative design conditions by adopting higher-order polynomials related to the uncertain parameter, which yields more flexibility in boosting the control performance.•To render the fixed-order DOF control synthesis numerically tractable, we develop a sequential convex optimization algorithm, under which a sequence of fixed-order DOF controllers can be achieved iteratively.