Finite-frequency fixed-order dynamic output-feedback control via a homogeneous polynomially parameter-dependent technique

Yingying Ren, Da-Wei Ding and Yue Long

Applied Mathematics and Computation, 2023, vol. 441, issue C

Abstract: This paper investigates the problem of fixed-order dynamic output-feedback (DOF) control for linear polytopic systems over finite-frequency ranges. Firstly, based on the generalized Kalman–Yakubovich-Popov lemma, we formulate the necessary and sufficient conditions for the finite-frequency disturbance-attenuation performance as bilinear matrix inequalities (BMIs), which are known to be NP-hard. In light of the homogeneous polynomially parameter-dependent technique, we construct relaxed synthesis conditions by employing higher-order decision variables dependent on the uncertainty parameter. To address the BMI problem, we develop an iterative procedure, under which feasible solutions to the original non-convex programming are achieved by vicariously solving a sequence of tractable convex approximations. Finally, we verify the efficacy of the theoretical results by an active suspension system.

Keywords: Dynamic output feedback; Finite-frequency specification; Polynomially parameter-dependent technique; Sequential convex optimization algorithm (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:441:y:2023:i:c:s0096300322007494

DOI: 10.1016/j.amc.2022.127681

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