H_∞ state feedback for linear systems with decentralized control inputs

Abstract

This paper considers state feedback with decentralized structure for interconnected systems. The connection between subsystems is described by a directed graph. To design a decentralized controller, we use the information from its own subsystem and other subsystems based on the interconnection. Decentralized controller is defined as a solution of bilinear matrix inequality (BMI) problem, which is then solved by using the homotopy approach. Two numerical examples are performed to show validity of the design procedure

Overlapping Decentralized Guaranteed Cost Control Method for Discrete-Time Systems of Building Structures with Uncertain Parameters under Earthquake Action

“…So, the minimization of Trace(W) guarantees the minimization of Trace(X − 1 ), then it is the minimization of the upper bound of system performance. Since the objective function and constraints in problem (17) are convex functions of the variables, problem ( 19) is a convex optimization problem so that a global minimum can be achieved. e proof is obtained by eorem 2.…”

“…A numerical study of a 6-story plane frame under seismic excitation indicated that both the substructure and the whole structural system could have better control and stability compared with the traditional decentralized control method. Fadhilah et al [17] used the information from its own subsystem and other subsystems based on the interconnection to design decentralized controllers.…”

Decentralized Control Strategies of Adjacent Building Structures Vibration under Earthquake Excitation

“…In this section, a block diagonal structure matrix is applied in the control gain matrix to realize the decentralized control of the whole adjacent building structural coupling system. In order to solve the problem of inequality problem in equation ( 39), the following forms of inequality variables are set [34][35][36]:…”