scholarly journals Pinning Lur’e Complex Networks via Output Feedback Control

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Fang Liu ◽  
Qiang Song ◽  
Jinde Cao ◽  
Jianquan Lu
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Large Scale ◽  
Matrix Theory ◽  
Output Feedback Control ◽  
Linear Matrix ◽  
Network Nodes ◽  
Synchronization Problem ◽  
Feedback Control Strategy ◽  
Low Dimensional

Without requiring the full-state information of network nodes, this paper studies the pinning synchronization in a network of Lur’e dynamical systems based on the output feedback control strategy. Some simple pinning conditions are established for both undirected and directed Lur’e networks by usingM-matrix theory andS-procedure technique. With the derived stability criteria, the pinning synchronization problem of large-scale Lur’e networks can be transformed to the test of a low-dimensional linear matrix inequality. Some remarks are further given to address the selection of pinned nodes and the design of pinning feedback gains. Numerical results are provided to demonstrate the effectiveness of the theoretical analysis.

Output Feedback RHC for Constrained Linear Systems

2007 ◽  
Author(s):  
Youhua Chen ◽  
Fen Wu
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Output Feedback ◽  
Infinite Horizon ◽  
Output Feedback Control ◽  
Linear Matrix ◽  
Output Constraints ◽  
Constrained Linear Systems ◽  
Feedback Control Strategy ◽  
Control Designs

In this paper, we address the problem of synthesizing output feedback control law for constrained linear systems. For lack of state information, the plant states will be estimated by an observer. Using the Lyapunov function of estimated plant and controller states, the constrained output feedback control problem will be formulated and solved in terms of linear matrix inequalities (LMIs). The quadratic cost function is minimized over control policies to yield an output feedback control strategy subject to input/output constraints. Both infinite-horizon and finitehorizon receding horizon control (RHC) are considered in the paper. Closed-loop stability and feasibility of RHC are guaranteed by off-line constrained control designs. The simulation results show that finite-horizon RHC provides better performance upper bound than infinite-horizon RHC.

H ∞ Control for Continuous-Time Switched Linear Systems

2010 ◽  
Vol 132 (4) ◽  
Author(s):  
Grace S. Deaecto ◽  
José C. Geromel
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Output Feedback ◽  
Continuous Time ◽  
Design Problem ◽  
State Feedback ◽  
Output Feedback Control ◽  
Control Design ◽  
Linear Matrix ◽  
Switched Linear Systems

This paper deals with the output feedback H∞ control design problem for continuous-time switched linear systems. More specifically, the main goal is to design a switching rule together with a dynamic full order linear controller to satisfy a prespecified H∞ level defined by the L2 gain from the input to the output signal. Initially, the state feedback version of this problem is solved in order to put in evidence the main difficulties we have to face toward the solution of the output feedback control design problem. The results reported in this paper are based on the so called Lyapunov–Metzler inequalities, which express a sufficient condition for switched linear systems global stability. The solution of the previously mentioned output feedback control design problem through a linear matrix inequality based method is the main contribution of the present paper. An academic example borrowed from literature is used for illustration.

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