Boundary Stabilization of Parachute Dams in Contact With Fluid

2011 ◽  
Vol 133 (6) ◽  
Author(s):  
Ali Najafi ◽  
Mohammad Eghtesad ◽  
Farhang Daneshmand ◽  
Amir Lotfazar
Keyword(s):  
Stability Analysis ◽  
Lyapunov Functional ◽  
Control Method ◽  
Nonlinear Partial Differential Equations ◽  
Coupled System ◽  
Control Force ◽  
Boundary Stabilization ◽  
Boundary Feedback ◽  
Boundary Control Method ◽  
The Stability

The boundary stabilization of a coupled fluid-structure system consisting of a vibrating parachute dam in contact with a fluid is studied in this paper. The parachute dam dynamics is presented by nonlinear partial differential equations. The fluid is assumed to be Newtonian, barotropic, and compressible. For the stability analysis of the coupled system, the boundary control method is used; a boundary feedback is constructed to stabilize the vibrations of the dam and the fluid simultaneously. The control force consists of the feedback from dam tension at its end. Moreover, the exponential stabilization of the parachute dam is achieved using a Lyapunov functional and boundary feedback.

scholarly journals Formation Control of Unmanned Vessels with Saturation Constraint and Extended State Observation

2021 ◽  
Vol 9 (7) ◽  
pp. 772
Author(s):  
Huixuan Fu ◽  
Shichuan Wang ◽  
Yan Ji ◽  
Yuchao Wang
Keyword(s):  
Formation Control ◽  
Control Method ◽  
Tracking Error ◽  
External Environment ◽  
Control Force ◽  
Extended State ◽  
Parameter Perturbation ◽  
State Observation ◽  
Saturation Constraint ◽  
The Stability

This paper addressed the formation control problem of surface unmanned vessels with model uncertainty, parameter perturbation, and unknown environmental disturbances. A formation control method based on the control force saturation constraint and the extended state observer (ESO) was proposed. Compared with the control methods which only consider the disturbances from external environment, the method proposed in this paper took model uncertainties, parameter perturbation, and external environment disturbances as the compound disturbances, and the ESO was used to estimate and compensate for the disturbances, which improved the anti-disturbance performance of the controller. The formation controller was designed with the virtual leader strategy, and backstepping technique was designed with saturation constraint (SC) function to avoid the lack of force of the actuator. The stability of the closed-loop system was analyzed with the Lyapunov method, and it was proved that the whole system is uniformly and ultimately bounded. The tracking error can converge to arbitrarily small by choosing reasonable controller parameters. The comparison and analysis of simulation experiments showed that the controller designed in this paper had strong anti-disturbance and anti-saturation performance to the compound disturbances of vessels and can effectively complete the formation control.

Switching Control Design for Switched Fuzzy Discrete-Time Systems

2014 ◽  
Vol 1006-1007 ◽  
pp. 711-714
Author(s):  
Hong Yang ◽  
Huan Huan Lü ◽  
Le Zhang
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Fuzzy Systems ◽  
Closed Loop ◽  
Control Method ◽  
Control Design ◽  
Switching Control ◽  
Discrete Time Systems ◽  
The Stability ◽  
Time Systems

This paper investigates the problems of stability analysis and stabilization for a class of switched fuzzy discrete-time systems. Based on a common Lyapunov functional, a switching control method has been developed for the stability analysis of switched discrete-time fuzzy systems. A new stabilization approach based on a switching parallel distributed compensation scheme is given for the closed-loop switched fuzzy systems. Finally, the illustrative example is provided to demonstrate the effectiveness of the techniques proposed in this paper.

scholarly journals Semistability of Nonlinear Impulsive Systems with Delays

2012 ◽  
Vol 2012 ◽  
pp. 1-10
Author(s):  
Xiaowu Mu ◽  
Yongliang Gao
Keyword(s):  
Stability Analysis ◽  
Hybrid System ◽  
Lyapunov Functional ◽  
Sufficient Conditions ◽  
Impulsive Systems ◽  
Stability Properties ◽  
System Energy ◽  
The Stability ◽  
Storage Energy

This paper is concerned with the stability analysis and semistability theorems for delay impulsive systems having a continuum of equilibria. We relate stability and semistability to the classical concepts of system storage functions to impulsive systems providing a generalized hybrid system energy interpretation in terms of storage energy. We show a set of Lyapunov-based sufficient conditions for establishing these stability properties. These make it possible to deduce properties of the Lyapunov functional and thus lead to sufficient conditions for stability and semistability. Our proposed results are evaluated using an illustrative example to show their effectiveness.

New Delay Dependent Stability Analysis for Switched Neutral Systems with Mode-Dependent Delays under Arbitrary Switching Laws

2011 ◽  
Vol 228-229 ◽  
pp. 993-1000
Author(s):  
Liang Lin Xiong ◽  
Xin Wang ◽  
Zhu Yuan Yang
Keyword(s):  
Stability Analysis ◽  
Lyapunov Functional ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Neutral Systems ◽  
Arbitrary Switching ◽  
The Stability ◽  
Switched Neutral Systems ◽  
Delay Dependent ◽  
Delay Dependent Stability

In this paper, the stability analysis of switched uncertain neutral systems with mode-dependent delays under arbitrary switching rules is presented. Based on common Lyapunov functional, and combined with the analysis of matrix inequalities, the delay dependent stability conditions are obtained in the form of linear matrix inequalities(LMIs)which can be easily solved by LMI toolbox in Matlab. Finally, a numerical example illustrate that the proposed criteria are effective.

Active Control of Longitudinal Vibration of a Time-Varying Shafting System With a Dynamic Interpolating Adaptive Method

2018 ◽  
Vol 141 (1) ◽  
Author(s):  
Hongbo Zheng ◽  
Fang Hu ◽  
Hui Qin ◽  
Zhiyi Zhang
Keyword(s):  
Thrust Bearing ◽  
Control Method ◽  
Longitudinal Vibration ◽  
Adaptive Methods ◽  
Adaptive Method ◽  
Control Force ◽  
Time Varying ◽  
The Stability ◽  
The Right ◽  
Parameter Dependent

An adaptive control method with dynamic interpolation is proposed for the active longitudinal vibration control of propulsion shafting systems. In such systems, the dynamics of longitudinal vibration change with the speed-dependent stiffness, which can result in a time-varying system as the shaft speed changes with time. A longitudinal vibration model is established for the investigation of the dynamic interpolating adaptive method (DIAM). In this model, the longitudinal vibration is induced by the disturbance exerted on the propeller (the left mass) and the control force is exerted on the thrust bearing (the right mass), which defines the disturbance channel and the control channel. The proposed DIAM is used to suppress longitudinal vibration transmission from the propeller to the thrust bearing by applying an active force on the right mass. The interpolation technique in DIAM updates the parameter-dependent compensator dynamically and eliminates the influence of parameter-dependent dynamics on the stability of control. Simulation results have demonstrated that the proposed DIAM is effective in suppressing longitudinal vibration of the thrust bearing in comparison to conventional adaptive methods.

Stability analysis of Cu–H2O nanofluid over a curved stretching–shrinking sheet: existence of dual solutions

2019 ◽  
Vol 97 (8) ◽  
pp. 911-922 ◽  
Author(s):  
Usama ◽  
S. Nadeem ◽  
A.U. Khan
Keyword(s):  
Stability Analysis ◽  
Volume Fraction ◽  
Reverse Flow ◽  
Velocity Slip ◽  
Coupled System ◽  
Dual Solutions ◽  
Shrinking Sheet ◽  
Flow Situation ◽  
The Stability ◽  
Parameter Values

The effect of mass suction with temperature jump and velocity slip of viscous, unsteady nanofluid flow past a curved shrinking–stretching surface is analyzed in this work. Copper (Cu) and water are considered nanoparticles and base fluids, respectively. The complicated coupled system of differential equations is converted into non-dimensional form with some suitable similarity variables. The solution of the nonlinear problem is produced by use of numerical scheme available in the form of bvp4c package in MATLAB. In the case of shrinking towards the surface, a reverse flow situation is also developed and requires careful selection of solution by examining the stability of the solution. Detailed stability analysis is done and critical values are determined for the possible existence of dual solutions. Variation in parameters is analyzed by plotting graphs and tables. The numerical values are also calculated for the reduced Nusselt number and skin friction due to variation in values of different flow parameters. Results have shown that for the curved shrinking surfaces, one should expect multiple solutions for a set of parameter values such as mass suction, curvature, nanoparticles volume fraction, and unsteadiness.

Compliance Control and Stability Analysis of Cooperating Robot manipulators

Robotica ◽  
1989 ◽  
Vol 7 (3) ◽  
pp. 191-198 ◽  
Author(s):  
H. Kazerooni
Keyword(s):  
Stability Analysis ◽  
Control Strategy ◽  
Position Control ◽  
Control Method ◽  
Robot Manipulators ◽  
Contact Point ◽  
Sensitivity Function ◽  
Compliance Control ◽  
Cooperating Robots ◽  
The Stability

SUMMARYThe work presented here is the description of the control strategy of two cooperating robots. A two–finger hand is an example of such a System. The control method allows for position control of the contact point by one of the robots while the other robot controls the contact force. The stability analysis of two robot manipulators has been investigated using unstructured models for dynamic behavior of robot manipulators. For the stability of two robots, there must be some initial compliance in either robot. The initial compliance in the robots can be obtained by a non-zero sensitivity function for the tracking controller or a passive compliant element such as an RCC.

scholarly journals H∞Control for a Networked Control Model of Systems with Two Additive Time-Varying Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Hanyong Shao ◽  
Zhengqiang Zhang ◽  
Xunlin Zhu ◽  
Guoying Miao
Keyword(s):  
Upper Bound ◽  
Lyapunov Functional ◽  
Control Method ◽  
Control Model ◽  
Networked Control ◽  
Disturbance Attenuation ◽  
Time Varying ◽  
Stability Criteria ◽  
The Stability ◽  
Polyhedron Method

This paper is concerned withH∞control for a networked control model of systems with two additive time-varying delays. A new Lyapunov functional is constructed to make full use of the information of the delays, and for the derivative of the Lyapunov functional a novel technique is employed to compute a tighter upper bound, which is dependent on the two time-varying delays instead of the upper bounds of them. Then the convex polyhedron method is proposed to check the upper bound of the derivative of the Lyapunov functional. The resulting stability criteria have fewer matrix variables but less conservatism than some existing ones. The stability criteria are applied to designing a state feedback controller, which guarantees that the closed-loop system is asymptotically stable with a prescribedH∞disturbance attenuation level. Finally examples are given to show the advantages of the stability criteria and the effectiveness of the proposed control method.

Exponential Stability Analysis for Neutral Stochastic Delayed Neural Networks

2011 ◽  
Vol 354-355 ◽  
pp. 877-880
Author(s):  
Min Gang Hua ◽  
Jun Tao Fei ◽  
Wei Li Dai
Keyword(s):  
Neural Networks ◽  
Stability Analysis ◽  
Exponential Stability ◽  
Lyapunov Functional ◽  
Stability Criteria ◽  
Delayed Neural Networks ◽  
The Stability ◽  
Delay Dependent ◽  
Delay Dependent Stability

In this paper, the generalized Finsler lemma and augmented Lyapunov functional are introduced to establish some improved delay-dependent stability criteria of neutral stochastic delayed neural networks. The stability criteria in the new results improve and generalize existing ones. Two examples are included to show the effectiveness of the results.

Sign in / Sign up

Export Citation Format

Share Document