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This paper investigates the stability problem for discrete-time genetic regulatory networks (GRNs) with time-varying delays. A new stability criterion is established by utilizing the discrete Wirtinger-based inequality and a new constraint condition on feedback regulatory function which are used for the first time in the stability analysis of GRNs. Two numerical examples are provided to demonstrate...
The major concentration of this study is on developing a novel control system with response and tracking accuracy features capable of precise angular speed regulation of brushed DC motor. Towards this objective, speed loop controller of brushed DC motor based on Triple-step nonlinear method has been designed. The Triple-step nonlinear method consists of the steady-state control, the reference variation-based...
The exists of hysteresis nonlinearities in some physical system such as piezoelectric actuators can cause reduction of control accuracy and even instability of system. In this paper, a control strategy based on Extended State Observer (ESO) is proposed for systems with hysteresis characteristics to achieve accurate output tracking for the reference model which provides the desired performance. Firstly,...
This paper presents a gain scheduling backstepping control (GSBC) for motion balance adjusting of a power-line inspection (PLI) robot, which is an underactuted mechanical system of two degrees of freedom with one control input. First, a dynamic model of the motion balance adjusting of the PLI robot is constructed. Second, this model is linearized at a nominal operating point to overcome the computation...
This paper investigates the problem of relative control for spacecraft formation flying on an arbitrary elliptical orbit. The nonlinear dynamic model describing the relative motion between the leader spacecraft and the follower spacecraft is established in the presence of system model uncertainty and external disturbance. A continuous finite-time control scheme is designed by using a new form of terminal...
This technical note is concerned with the stochastic state feedback H∞ control problem for continuous-time singular systems with state- and disturbance-dependent noise. A stochastic bounded real lemma for this class of systems is proved. Based on this result, the state feedback H∞ controller is designed, which ensures that the system not only is mean square admissible but also satisfies a prescribed...
This paper studies the sloshing disturbance rejection control (SDRC) problem for liquid-filled spacecrafts, in which the motion of the spacecraft is described by ordinary differential equations (ODEs) and the fluid dynamics is described by the Burgers' equation with the acceleration due to the inertial force of liquid. The sloshing force is that the fluid, via pressure and viscous effects, exerts...
In this paper, we focus on the stabilization problem for a class of second-order uncertain nonlinear systems via the sampled-data output feedback, where the systems may contain strong nonlinearities. A characteristic model is developed by virtue of some constructive modeling method, and then the golden-section adaptive control based on this characteristic model is given. Also, the closed-loop characteristic...
All space manipulators are debugged on the ground and on-orbit serviced in space. Compared with in ground gravity environment their friction characteristics in space microgravity environment have great changes. For sake of tracking the desired trajectory, in both ground and space, considering these characteristics, a friction compensation control method based on an Active Disturbance Rejection Control...
In this paper, a strategy is established to design the robust controller for a class of continuous-time nonlinear systems with Lurie uncertainties.The uncertainty is decomposed into matched and unmatched components, and an augmented control is introduced for the unmatched uncertainty. An optimal control algorithm based on Hamilton-Jacobi-Bellman(HJB) equation is proposed for the design of a bounded...
Taking a 1000MW ultra-supercritical once-through boiler as an example for research, two kinds of soft measurement methods of once-through boiler water-coal ratio is studied: With Auto Regressive Integrated Moving Average (ARIMA) time series method, water-coal ratio data after filtering is processed with parameter estimation and dynamic prediction, then the error analysis verified the model can accurately...
There exist big uncertainties in the process of entry guidance for hypersonic flight vehicle. But for all kinds of guidance approaches, stability analysis method is slightly single. In this paper, based on the singular perturbation theory, we decouple the hypersonic vehicle entry guidance dynamic model into two time-scale model. To analyze the stability of entry flight trajectory tracking guidance,...
In this paper, based on an ingenious Lyapunov function, an increased coupling control method is derived for overhead cranes, the performance of which is superior over most existing methods. Specifically, in terms of a composite signal, a Lyapunov function is constructed by solving partial differential equations. Then, a novel increased coupling control method is investigated straightforwardly, and...
Most of greenhouse temperature prediction models are using only one kind of modeling methods, mechanism modeling or experimental modeling, moreover, most of which are for greenhouses with heating and humidifying equipment. Temperature prediction model of solar greenhouses with the natural ventilation is not comprehensive. This paper proposes a temperature prediction model combining the advantages...
For a class of Lagrange systems with colored noise, the problem of tracking control is considered. Using the structural properties of Lagrange systems, a Lyapunov function is skillfully constructed. Based on it, using backstepping idea, a tracking controller is designed such that the mean square of the tracking error converges to an arbitrarily small neighborhood of zero by tuning design parameters...
A cart-pendulum system has two degrees of freedom (DOF) and has only one control input. It is a well known example of underactuated nonlinear mechanical system. We analyze the dynamic properties and discuss motion planning for this 2-DOF underactuated system in this paper. First, the mathematical model of the cart-pendulum system is given. And a coordinate transformation is used to change the model...
In this paper, fractional-order calculus (FC) is applied in the sliding mode control of a generic hypersonic vehicle (GHV). In the design of the controller, dynamic inversion is applied to deal with strong couplings among pitch angle, yaw angle and roll angle. The effect of FC is evaluated in a sliding mode controller. Simulation results demonstrate that sliding mode controller becomes more robust...
To achieve stable tracking of a flight trajectory, a controller with simple structure and strong robustness is designed control a quadrotor in this paper. The controller possesses inner and outer loops structure. The inner loop adopts a ZN-PD controller which Proportional Derivative (PD) controller parameters are tuned by Ziegler-Nichols method; the outer loop adopts Internal Model Control (IMC) method...
This manuscript deals with the linear modeling for the radar antenna servo turntable basing on the system identification theory. Identification experiment is designed and realized, the flied data of input and output signals is recorded. According to the Akaike information criterion, the order of the controlled autoregressive model was determined as three. The particle swarm optimization algorithm...
A SIQS epidemic model with non-linear incidence rate is proposed. With or without considering the stochastic perturbations, we study two models. The existence and global stability of the equilibriums for deterministic model is obtained by theoretic analysis and the second Lyapunov functional method. For stochastic model, by using the Itôs formula and some famous results, we obtain the conditions for...
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