Data-Driven Structured Robust Control of Linear Systems

Static structured control refers to the task of designing a state-feedback controller such that the control gain satisfies a subspace constraint. Structured control has applications in control of communication-inhibited dynamical systems, such as systems in networked environments. This work performs H_2-suboptimal regulation under a common structured state-feedback controller for a class of data-consistent plants. The certification of H_2-performance is attained through a combination of standard H_2 LMIs, convex sufficient conditions for structured control, and a matrix S-lemma for set-membership. The resulting convex optimization problems are linear matrix inequalities whose size scales independently of the number of data samples collected. Data-driven structured H_2-regulation control is demonstrated on example systems.