The infinite time near optimal decentralized regulator problem for singularly perturbed systems: A convex optimization approach
The paper is concerned with the control of a system governed by singularly perturbed ordinary differential equations. This system is used to define reduced and well-behaved problems. It is shown that the \(H_2\) optimization control problem with a pole located in a sector can be solved using the LMI approach. Some considerations concerning the range of use of the decentralized control structure are outlined. The decentralized control problem is solved on the reduced slow subsystem. In doing so, the authors introduce structure constraints on the matrix variables which do not destroy the linearity and then the convexity of the problem. After the slow and fast subproblems are solved, the composite control is obtained. A numerical example is presented.
scientific article; zbMATH DE number 1797123