Abstract :
Linear matrix inequalities (LMIs) have emerged as a powerful tool for numerically solving control problems that are difficult or impossible to solve analytically. The idea is to express a given problem as an optimisation problem with linear objective and semidefinite constraints, where the constraints involve symmetric matrices that are affine in the decision variables. Once a problem has been expressed in this form, efficient LMI solvers can be used to obtain a numerical solution. This Special Section on LMIs for application in control engineering collects a number of recent results in various fields such as linear parametervarying (LPV) systems, predictive control, sliding mode control, and applications such as control of networked or interconnected systems and robust design of power system stabilisers
