ABSTRACT
This chapter shows a unified perspective based on Linear Matrix Inequalities (LMIs) for designing controllers with various specifications including stability, performance and robustness. In particular, many control design problems can be reduced to just one linear algebra problem of solving an LMI for the controller parameter G. In fact, the covariance control problem and the https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315136523/da37a17e-5c01-4454-a3c1-f35b8dae80d3/content/inequ4a_7.tif"/>. control problem treated in the previous chapters are examples of such control problems. The purpose of this chapter is to show explicitly the common mathematical structure of these and other control problems hidden in the proofs of the previous synthesis results. We shall list 17 control problems that all reduce to a. single linear algebra problem to solve
