INTRODUCING LINEAR MATRIX INEQUALITIES IN A CONTROL COURSE

Lecture Notes DISC Course on Linear Matrix Inequalities in Control

Preface Objectives In recent years linear matrix inequalities (LMI's) have emerged as a powerful tool to approach control problems that appear hard if not impossible to solve in an analytic fashion. Although the history of LMI's goes back to the fourties with a major emphasis of their role in control in the sixties (Kalman, Yakubovich, Popov, Willems), only recently powerful numerical interior ...

Linear Matrix Inequalities in Robust Control A Brief Survey

Control system models must often explicitly incorporate in them “uncertainties”, which model a number of factors, including: dynamics that are neglected to make the model tractable, as with large scale structures; nonlinearities that are either hard to model or too complicated; and parameters that are not known exactly, either because they are hard to measure or because of varying manufacturing...

Linear Matrix Inequalities in Multirate Control over Networks

This paper faces two of the main drawbacks in networked control systems: bandwidth constraints and timevarying delays. The bandwidth limitations are solved by using multirate control techniques. The resultant multirate controller must ensure closed-loop stability in the presence of time-varying delays. Some stability conditions and a state feedback controller design are formulated in terms of l...

Robust Constrained Model Predictive Control by Linear Matrix Inequalities

Finite Horizon Robust Model Predictive Control Using Linear Matrix Inequalities

In this paper, we develop a finite horizon model predictive control algorithm which is robust to model uncertainties. A moving average system matrix is constructed to capture model uncertainties and facilitate future output predictions. The paper is focused on step tracking control. Using linear matrix inequality techniques, the design is converted into a semi-definite optimization problem. Clo...