Optimal and Robust Control

12

Linear Matrix Inequalities for optimal and robust control

CONTENTS

12.1   Definition and properties of LMI

12.2   LMI problems

12.2.1  Feasibility problem

12.2.2  Linear objective minimization problem

12.2.3  Generalized eigenvalue minimization problem

12.3   Formulation of control problems in LMI terms

12.3.1  Stability

12.3.2  Simultaneous stabilizability

12.3.3  Positive real lemma

12.3.4  Bounded real lemma

12.3.5  Calculating the H_∞ norm through LMI

12.4   Solving a LMI problem

12.5   LMI problem for simultaneous stabilizability

12.6   Solving ...