Finite-frequency fixed-order dynamic output-feedback control via a homogeneous polynomially parameter-dependent technique. (English) Zbl 1511.93086
Summary: 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.
MSC:
| 93C80 | Frequency-response methods in control theory |
| 93B36 | \(H^\infty\)-control |
| 90C22 | Semidefinite programming |
| 90C25 | Convex programming |
| 93B51 | Design techniques (robust design, computer-aided design, etc.) |
| 93B52 | Feedback control |
| 93D15 | Stabilization of systems by feedback |
Keywords:
dynamic output feedback; finite-frequency specification; polynomially parameter-dependent technique; sequential convex optimization algorithmReferences:
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