Robust stability and performance analysis based on integral quadratic constraints
Journal article, 2016
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.
ZAMES-FALB MULTIPLIERS
DISSIPATIVE DYNAMICAL-SYSTEMS
INTERCONNECTED SYSTEMS
DISTRIBUTED CONTROL DESIGN
TIME-VARYING DELAYS
Robust stability and performance analysis
FEEDBACK-SYSTEMS
LINEAR MATRIX INEQUALITIES
UNCERTAIN SYSTEMS
POPOV CRITERION
Linear matrix inequalities
Integral quadratic constraints
OPTIMIZATION PROBLEMS