scholarly journals Decentralized Finite-TimeH∞Connective Control for a Class of Large-Scale Systems with Different Structural Forms

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Xiaohua Li ◽  
Yang Liu ◽  
Xiaoping Liu
Keyword(s):  
Feedback Control ◽  
Finite Time ◽  
Large Scale ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Original System ◽  
State Feedback Control ◽  
Control Law ◽  
Interconnected System ◽  
The One

Decentralized finite-timeH∞connective control problem for a class of large-scale interconnected systems is studied in this paper. The research aims at two structural forms, namely, the interconnected structure and the one with expanding construction. A new method is proposed to design a decentralized state feedback control law for a large-scale interconnected system so that the closed-loop system is finite-timeH∞connectively bounded. The sufficient conditions for the existence of such a decentralized control law are deduced by using LMI method. Another method is presented for a large-scale interconnected system with expanding construction which can be used without changing the decentralized state feedback control law of the original system to design a controller for the newly added subsystem so that both the new subsystem and the resulting expanded system are finite-timeH∞connectively bounded. The feasibility and effectiveness of the proposed method are verified by some simulation results.

An H∞ State Feedback Control Law for Launch Vehicles

2014 ◽  
Vol 656 ◽  
pp. 467-475 ◽  
Author(s):  
Adrian Mihail Stoica ◽  
Cristian Emil Constantinescu
Keyword(s):  
Optimal Design ◽  
Feedback Control ◽  
State Feedback ◽  
Sufficient Conditions ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Control Law ◽  
Specific System ◽  
Control Effort ◽  
Improved Stability

This paper presents a new design methodology for the control system of a launch vehicle. The method is based on the $H_\infty$ minimisation of the closed loop configuration obtained with a state feedback control law. Necessary and sufficient conditions for the existence of a state feedback control law minimising the effects of wind disturbances on the angle of attack and the control effort are derived. These conditions are expressed in terms of feasibility of a specific system of linear matrix inequalities. The theoretical developments are illustrated by numerical comparative results indicating that the proposed optimal design approach provides improved stability robustness, disturbances attenuation and tracking performances with respect to non-optimal design methods.

scholarly journals The Practical Stabilization for a Class of Networked Systems with Actuator Saturation and Input Additive Disturbances

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
Dongyan Chen ◽  
Shanqiang Li ◽  
Yujing Shi
Keyword(s):  
Feedback Control ◽  
Riccati Equation ◽  
State Feedback ◽  
Actuator Saturation ◽  
Sufficient Conditions ◽  
State Feedback Control ◽  
Control Law ◽  
Equation Approach ◽  
Linear State ◽  
Practical Stabilization

The practical stabilization problem is investigated for a class of linear systems with actuator saturation and input additive disturbances. Firstly, the case of the input additive disturbance being a bounded constant and a variety of different situations of system matrices are studied for the three-dimensional linear system with actuator saturation, respectively. By applying the Riccati equation approach and designing the linear state feedback control law, sufficient conditions are established to guarantee the semiglobal practical stabilization or oscillation for the addressed system. Secondly, for the case of the input additive disturbances being time-varying functions, a more general class of systems with actuator saturation is investigated. By employing the Riccati equation approach, a low-and-high-gain linear state feedback control law is designed to guarantee the global or semiglobal practical stabilization for the closed-loop systems.

Maneuvering Support System for an Amphibian Vehicle – Warning Display to Prevent Rough Maneuvers –

2017 ◽  
Vol 29 (3) ◽  
pp. 591-601
Author(s):  
Ryota Hayashi ◽  
◽  
Genki Matsuyama ◽  
Hisanori Amano ◽  
Hitomu Saiki ◽  
...  
Keyword(s):  
Feedback Control ◽  
Support System ◽  
State Feedback ◽  
Trajectory Control ◽  
State Feedback Control ◽  
Control Law ◽  
Reference Trajectory ◽  
Display System ◽  
Additional Reference ◽  
Nonlinear State

[abstFig src='/00290003/14.jpg' width='300' text='Amphibian vehicle maneuvering simulator' ] This study proposes a maneuvering support system for an amphibian vehicle by applying a nonlinear state feedback control law for vehicle trajectory control. We consider that the vehicle should not drift sideways for good driving performance. To derive a nonlinear state feedback control law, we have defined ‘Maneuvering Trajectory’ as an additional reference trajectory that is generated by the driver’s maneuver. We have constructed a Lyapunov-like function for the trajectory control system. In this paper, we construct a vehicle-maneuvering simulator and set a clockwise circular reference trajectory. The efficiency of the proposed maneuvering support system is shown in the maneuvering simulations. We consider the case where the propulsive forces of the vehicle have limited influence on maneuverability. A new warning display system is proposed so that the driver can recognize if his or her maneuver is not suitable. Then, we examine the feasibility of the proposed warning display system through several simulations.

scholarly journals Mathematical and Dynamic Analysis of a Prey-Predator Model in the Presence of Alternative Prey with Impulsive State Feedback Control

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
Chuanjun Dai ◽  
Min Zhao
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
Sufficient Conditions ◽  
State Feedback Control ◽  
Alternative Prey ◽  
Bifurcation Diagrams ◽  
Impulsive State Feedback Control ◽  
Existence And Stability ◽  
Predator Model ◽  
Predator System

The dynamic complexities of a prey-predator system in the presence of alternative prey with impulsive state feedback control are studied analytically and numerically. By using the analogue of the Poincaré criterion, sufficient conditions for the existence and stability of semitrivial periodic solutions can be obtained. Furthermore, the corresponding bifurcation diagrams and phase diagrams are investigated by means of numerical simulations which illustrate the feasibility of the main results.

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