Design of guaranteed cost overlapping controllers for a class of uncertain state-delay systems

Abstract

Abstract-The paper deals with a class of linear continuoustime state-delay systems with norm-bounded uncertainties which are composed by overlapped subsystems. The main goal is to design overlapping guaranteed cost controllers for this class of systems by using the corresponding feasible solution of a linear matrix inequality (LMI) problem. In the overlapping decompositions context the selection of so-called complementary matrices is crucial. The paper presents a procedure to obtain numerical complementary matrices such that a bounded cost of the quadratic performance index is minimized. A simple example is supplied to illustrate the use of the proposed strategy.

Robust H<inf>&#x221E;</inf> controller design of large-scale discrete-time overlapping systems

“…[13] proposes an iterative algorithm to calculate the crucial complement matrices only to satisfy the inclusion principle, which is too difficult to solve and neglect to discuss the restriction condition. [6] and [11] focus on the longitudinal type topology information structure constraint, transform the original system to a lower block triangular (LBT) structure, then adopt sequential algorithm under local LQ to design platoon controller.…”