Department of Applied Analysis and Complex Dynamical Systems
Graduate School of Informatics
IQC analysis for finite-horizon systems
We consider the following IQC (integral quadratic constraint) feasibility problem: For a given symmetrix matrix and a finite-dimensional state-space system, determine that the system satisfies the time-domain IQC defined by the symmetric matrix or not. The difference from the standard setup is twofold: (i) the time-horizon is finite, and (ii) the two point boundary conditions are given for the system. We encounter this problem in, e.g., robust control of a class of PWM systems, and robustness analysis of sampled-data feedback systems. We derive a finite dimensional condition to verify the IQC as a counterpart of the KYP lemma in the infinite-horizon case. We then consider the related IQC optimization problem and a cutting plane algorithm is derived, where we generate cutting hyperplanes by using infeasible parameters.