Karimi, AlirezaKammer, Christoph Manuel2017-06-132017-06-132017-06-13201710.1016/j.automatica.2017.07.063https://infoscience.epfl.ch/handle/20.500.14299/138414WOS:000414818100026The frequency-domain data of a multivariable system in different operating points is used to design a robust controller with respect to the measurement noise and multimodel uncertainty. The controller is fully parametrized in terms of matrix polynomial functions and can be formulated as a centralized, decentralized or distributed controller. All standard performance specifications like H2, H∞ and loop shaping are considered in a unified framework for continuous- and discrete-time systems. The control problem is formulated as a convex-concave optimization problem and then convexified by linearization of the concave part around an initial controller. The performance criterion converges monotonically to a local optimum or a saddle point in an iterative algorithm. The effectiveness of the method is compared with fixed-structure controller design methods based on non-smooth optimization via multiple simulation examples.Data-based controlRobust controlConvex optimizationA Data-driven Approach to Robust Control of Multivariable Systems by Convex Optimizationtext::journal::journal article::research article