scholarly journals Plug and Play Robust Distributed Control with Ellipsoidal Parametric Uncertainty System

2016 ◽  
Vol 2016 ◽  
pp. 1-8
Author(s):  
Hong Wang-jian ◽  
Wang Yan-xiang
Keyword(s):  
Linear System ◽  
Distributed Control ◽  
Control Strategy ◽  
State Feedback ◽  
Parametric Uncertainty ◽  
State Feedback Control ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Plug And Play ◽  
Necessary And Sufficient

We consider a continuous linear time invariant system with ellipsoidal parametric uncertainty structured into subsystems. Since the design of a local controller uses only information on a subsystem and its neighbours, we combine the plug and play idea and robust distributed control to propose one distributed control strategy for linear system with ellipsoidal parametric uncertainty. Firstly for linear system with ellipsoidal parametric uncertainty, a necessary and sufficient condition for robust state feedback control is proposed by means of linear matrix inequality. If this necessary and sufficient condition is satisfied, this robust state feedback gain matrix can be easily derived to guarantee robust stability and prescribed closed loop performance. Secondly the plug and play idea is introduced in the design process. Finally by one example of aircraft flutter model parameter identification, the efficiency of the proposed control strategy can be easily realized.

scholarly journals Event-Triggered Control for the Stabilization of Probabilistic Boolean Control Networks

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Shiyong Zhu ◽  
Jungang Lou ◽  
Yang Liu ◽  
Yuanyuan Li ◽  
Zhen Wang
Keyword(s):  
Discrete Time ◽  
State Feedback ◽  
State Feedback Control ◽  
Sufficient Condition ◽  
Global Stabilization ◽  
Necessary And Sufficient Condition ◽  
Feedback Controllers ◽  
Control Networks ◽  
Necessary And Sufficient ◽  
Event Triggered

This paper realizes global stabilization for probabilistic Boolean control networks (PBCNs) with event-triggered state feedback control (ETSFC). Via the semitensor product (STP) of matrices, PBCNs with ETSFC are converted into discrete-time algebraic systems, based on which a necessary and sufficient condition is derived for global stabilization of PBCNs. Furthermore, an algorithm is presented to design a class of feasible event-triggered state feedback controllers for global stabilization. Finally, an illustrative example shows the effectiveness of the obtained result.

STABILIZING HIGHER PERIODIC ORBITS

1994 ◽  
Vol 04 (02) ◽  
pp. 457-460 ◽  
Author(s):  
M. PASKOTA ◽  
A.I. MEES ◽  
K.L. TEO
Keyword(s):  
Dynamical Systems ◽  
Periodic Orbits ◽  
State Feedback ◽  
State Feedback Control ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Chaotic Dynamical Systems ◽  
Linear State ◽  
Necessary And Sufficient ◽  
Bounded Perturbations

In this paper, we consider stabilization of chaotic dynamical systems onto higher periodic orbits. We give a necessary and sufficient condition for using local linear state feedback control for this purpose. The control is achieved using small, bounded perturbations, and the method proposed is shown to be effective even in the presence of relatively small random dynamical noise.

scholarly journals Positive Stabilization of Linear Differential Algebraic Equation System

2016 ◽  
Vol 2016 ◽  
pp. 1-3 ◽  
Author(s):  
Muhafzan
Keyword(s):  
Algebraic Equation ◽  
State Feedback ◽  
Closed Loop ◽  
Equation System ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Closed Loop System ◽  
Differential Algebraic Equation ◽  
Linear Differential ◽  
Necessary And Sufficient

We study in this paper the existence of a feedback for linear differential algebraic equation system such that the closed-loop system is positive and stable. A necessary and sufficient condition for such existence has been established. This result can be used to detect the existence of a state feedback law that makes the linear differential algebraic equation system in closed loop positive and stable.

On the Controllability of Distributed-Order Fractional Systems With Distributed Delays

2017 ◽  
Author(s):  
Bin-Bin He ◽  
YangQuan Chen ◽  
Chun-Hai Kou
Keyword(s):  
Nonlinear System ◽  
Linear System ◽  
Distributed Delays ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Fractional Systems ◽  
Gramian Matrix ◽  
Controllability Gramian ◽  
Necessary And Sufficient ◽  
Distributed Order

This paper investigates the controllability of distributed-order fractional systems with distributed delays. By using the controllability Gramian matrix and reduction to absurdity, a necessary and sufficient condition for the controllability of linear system is established, and a sufficient condition for the nonlinear system is obtained. Examples are given to illustrate the effectiveness of the theorems.

scholarly journals Losslessness of Nonlinear Stochastic Discrete-Time Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Xikui Liu ◽  
Yan Li ◽  
Ning Gao
Keyword(s):  
Discrete Time ◽  
State Feedback ◽  
Zero Dynamics ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Discrete Time System ◽  
Time System ◽  
Discrete Time Systems ◽  
Necessary And Sufficient ◽  
Time Systems

This paper will study stochastic losslessness theory for nonlinear stochastic discrete-time systems, which are expressed by the Itô-type difference equations. A necessary and sufficient condition is developed for a nonlinear stochastic discrete-time system to be lossless. By the stochastic lossless theory, we show that a nonlinear stochastic discrete-time system can be lossless via state feedback if and only if it has relative degree0,…,0and lossless zero dynamics. The effectiveness of the proposed results is illustrated by a numerical example.

scholarly journals A Note on Solutions of Linear Systems

ISRN Algebra ◽  
2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Branko Malešević ◽  
Ivana Jovović ◽  
Milica Makragić ◽  
Biljana Radičić
Keyword(s):  
Linear System ◽  
General Solution ◽  
Linear Systems ◽  
Sufficient Condition ◽  
Matrix Equations ◽  
Necessary And Sufficient Condition ◽  
Different Types ◽  
Free Parameters ◽  
Necessary And Sufficient

We will consider Rohde's general form of {1}-inverse of a matrix A. The necessary and sufficient condition for consistency of a linear system Ax=c will be represented. We will also be concerned with the minimal number of free parameters in Penrose's formula x=A(1)c+(I-A(1)A)y for obtaining the general solution of the linear system. These results will be applied for finding the general solution of various homogenous and nonhomogenous linear systems as well as for different types of matrix equations.

Sign in / Sign up

Export Citation Format

Share Document