Data-driven Optimal Output Feedback Control of Linear Systems from Input-Output Data
Xiaoyan Dai, Claudio De Persis, Nima Monshizadeh
Abstract
We design optimal output feedback controllers for linear systems where only outputs are available for measurement and control actuation. The goal is to render the closed-loop system stable while minimizing a quadratic cost function balancing performance and control effort. We first provide a model-based solution to this problem, where an optimal dynamic output feedback controller is computed by solving a semidefinite program. Then, we shift our attention to data-based solutions, bypassing the system identification step. We derive semidefinite programs that are explicitly stated in terms of input-output data. The effectiveness of the method is illustrated via a power system case study.
Topics & Concepts
Control theory (sociology)Output feedbackComputer scienceController (irrigation)Optimal controlFunction (biology)Quadratic equationLinear systemControl (management)Linear-quadratic regulatorMathematical optimizationMathematicsGeometryArtificial intelligenceBiologyEvolutionary biologyMathematical analysisAgronomyControl Systems and IdentificationAdvanced Control Systems OptimizationModel Reduction and Neural Networks