Robust stability and performance analysis based on integral quadratic constraints

The integral quadratic constraints (IQC) approach facilitates a systematic and efficient analysis of robust stability and performance for uncertain dynamical systems based on linear matrix inequality (LMI) optimization. With the intention to make the IQC analysis tools more accessible to control scientists and engineers, we present in this paper a tutorial overview in three main parts: (i) the general setup and the basic IQC theorem, (ii) an extensive survey on the formulation and parametrization of multipliers based on LMI constraints, and (iii) a detailed illustration of how the tools can be applied.