scholarly journals Sampled-Data Control of Spacecraft Rendezvous with Discontinuous Lyapunov Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Zhuoshi Li ◽  
Ming Liu ◽  
Hamid Reza Karimi ◽  
Xibin Cao
Keyword(s):  
Stability Analysis ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Sampled Data ◽  
Closed Loop System ◽  
Output Tracking ◽  
Output Tracking Control ◽  
Data Control ◽  
Control Scheme ◽  
The Stability

This paper investigates the sampled-data stabilization problem of spacecraft relative positional holding with improved Lyapunov function approach. The classical Clohessy-Wiltshire equation is adopted to describe the relative dynamic model. The relative position holding problem is converted into an output tracking control problem using sampling signals. A time-dependent discontinuous Lyapunov functionals approach is developed, which will lead to essentially less conservative results for the stability analysis and controller design of the corresponding closed-loop system. Sufficient conditions for the exponential stability analysis and the existence of the proposed controller are provided, respectively. Finally, a simulation result is established to illustrate the effectiveness of the proposed control scheme.

scholarly journals Stability of Sampled-Data Control for Lurie Systems with Slope-Restricted Nonlinearities

2020 ◽  
Author(s):  
Mathias Giordani Titton ◽  
João Manoel Gomes da Silva Jr. ◽  
Giórgio Valmórbida
Keyword(s):  
Continuous Time ◽  
Optimization Problems ◽  
Linear Matrix ◽  
Sampled Data ◽  
Closed Loop System ◽  
Integral Term ◽  
New Class ◽  
Data Control ◽  
The Stability ◽  
Continuous Time System

This paper deals with the stability analysis of aperiodic sampled-data Lurie systems, where the nonlinearity is assumed to be both sector and slope restricted. The proposed method is based on the use of a new class of looped-functionals whose derivative is negative along the trajectories of the continuous-time system. In addition, it contains a generalized Lurie-type function that is quadratic on both the states and the nonlinearity and has a Lurie-Postnikov integral term, which provides some advantages in comparison to simpler candidate functions. On this basis, stability conditions in the form of linear matrix inequalities (LMIs) are formulated. It is shown that the proposed conditions guarantee that the Lurie function is strictly decreasing at the sampling instants, which also implies that the continuous-time trajectories converge asymptotically to the origin. We then formulate some optimization problems for computing themaximal intersampling interval or the maximal sector bounds for which the stability of the sampled-data closed-loop system is guaranteed. A numerical example to illustrate the results is provided.

Synchronization for hybrid coupled reaction-diffusion neural networks with stochastic disturbances via spatial sampled-data control strategy

2020 ◽  
pp. 095965182093566
Author(s):  
Xiaona Song ◽  
Xingru Li ◽  
Zhaoke Ning ◽  
Mi Wang ◽  
Jingtao Man
Keyword(s):  
Neural Networks ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Coupling Reaction ◽  
Reaction Diffusion ◽  
Sampled Data ◽  
Stochastic Disturbances ◽  
Digital Controllers ◽  
Data Control ◽  
Sampled Data Control

The synchronization of reaction-diffusion neural networks with state and spatial couplings is investigated in this article, and the time-varying delay and stochastic disturbances are considered in the proposed systems. Due to the development and merits of digital controllers, sampled-data control is a natural choice to establish synchronization in continuous-time systems. Here, we suggest a spatial sampled-data controller design, where the sampled-data (in space) measurements of the state are taken in a finite number of fixed sampling points in the spatial domain. It is assumed that the sampling intervals in space are bounded. Based on the Lyapunov stability theory, Young’s and Wirtinger’s inequalities techniques, some sufficient conditions are presented to synchronize the hybrid coupling reaction-diffusion neural networks with stochastic disturbances. Finally, the efficiency of the derived criteria will be demonstrated by resorting to two numerical examples.

Step Output Tracking Controller Design for Networked Control Systems

2013 ◽  
Vol 17 (6) ◽  
pp. 813-817
Author(s):  
Zhong-Hua Pang ◽  
◽  
Guo-Ping Liu ◽  
Donghua Zhou ◽  
◽  
...  
Keyword(s):  
Controller Design ◽  
Networked Control Systems ◽  
Design Procedure ◽  
Packet Dropout ◽  
Output Tracking ◽  
Trip Time ◽  
Control Scheme ◽  
Tracking Controller ◽  
Networked Predictive Control ◽  
The Stability

This paper is concerned with the step output tracking controller design problem for networked discretetime linear systems. The communication constraints such as network-induced delay, packet disorder, and packet dropout are considered, which are treated as the round-trip time (RTT) delay with an upper bound. An event-driven networked predictive control scheme is proposed to actively compensate for the RTT delay, which avoids the requirement of synchronization between the controller side and the plant side. The stability of the closed-loop system and the design procedure of the observer-based controller are discussed. A numerical example is employed to illustrate the effectiveness of the proposed methods.

scholarly journals Observer-Based Stabilization of Spacecraft Rendezvous with Variable Sampling and Sensor Nonlinearity

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Zhuoshi Li ◽  
Ming Liu ◽  
Hamid Reza Karimi ◽  
Xibin Cao
Keyword(s):  
Controller Design ◽  
Sampling Period ◽  
Controller Synthesis ◽  
Linear Matrix ◽  
Sampled Data ◽  
Closed Loop System ◽  
Unified Framework ◽  
Data Control ◽  
Variable Sampling ◽  
Exponentially Stable

This paper addresses the observer-based control problem of spacecraft rendezvous with nonuniform sampling period. The relative dynamic model is based on the classical Clohessy-Wiltshire equation, and sensor nonlinearity and sampling are considered together in a unified framework. The purpose of this paper is to perform an observer-based controller synthesis by using sampled and saturated output measurements, such that the resulting closed-loop system is exponentially stable. A time-dependent Lyapunov functional is developed which depends on time and the upper bound of the sampling period and also does not grow along the input update times. The controller design problem is solved in terms of the linear matrix inequality method, and the obtained results are less conservative than using the traditional Lyapunov functionals. Finally, a numerical simulation example is built to show the validity of the developed sampled-data control strategy.

Sampled data output regulation of n-link robotic manipulator using a realizable reconstruction filter

Robotica ◽  
2014 ◽  
Vol 34 (4) ◽  
pp. 900-912 ◽  
Author(s):  
Muwahida Liaquat ◽  
Mohammad Bilal Malik
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Feedback Linearization ◽  
Impulsive System ◽  
Observer Design ◽  
Control Input ◽  
Sampled Data ◽  
Control Scheme ◽  
Reconstruction Filter ◽  
The Stability

SUMMARYThis paper proposes a solution to the sampled-data regulation problem for feedback linearizable n-link robotic manipulators. The prime focus is on the development and stability analysis of the proposed control scheme in the presence of model uncertainties and external disturbances. A major constraint is the availability of sampled measurements of output signal. This leads to designing an impulsive observer for feedback linearization. The discrete-time control input is mapped into its continuous-time counterpart using a realizable reconstruction filter (RRF). The underlying control scheme relies on the sampled-data regulator theory based on the discrete-time equivalence of the plant and RRF modeled as impulsive system. This method leads to controller/observer design in discrete time. The working of the entire scheme is dependent on the stability of impulsive observer; hence a Lyapunov-based stability analysis is also included to ensure the stability of a closed-loop system. The working of the proposed scheme along with a comparison with conventional solution is presented, when applied to the control of a 3-degree-of-freedom PUMA 560 robot.

scholarly journals Adaptive Output Tracking Control for Nonlinear Systems with Failed Actuators and Aircraft Flight System Applications

2015 ◽  
Vol 2015 ◽  
pp. 1-14
Author(s):  
Chuanjing Hou ◽  
Lisheng Hu ◽  
Yingwei Zhang
Keyword(s):  
Nonlinear Systems ◽  
Tracking Control ◽  
Closed Loop ◽  
High Gain ◽  
Compensation Scheme ◽  
Closed Loop System ◽  
Tracking Errors ◽  
Output Tracking ◽  
Output Tracking Control ◽  
The Stability

An adaptive failure compensation scheme using output feedback is proposed for a class of nonlinear systems with nonlinearities depending on the unmeasured states of systems. Adaptive high-gain K-filters are presented to suppress the nonlinearities while the proposed backstepping adaptive high-gain controller guarantees the stability of the closed-loop system and small tracking errors. Simulation results verify that the adaptive failure compensation scheme is effective.

scholarly journals Sampled-Data Control of Singular Systems with Time Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Zheng Minjie ◽  
Zhou Yujie ◽  
Yang Shenhua ◽  
Li Lina
Keyword(s):  
Controller Design ◽  
Singular Systems ◽  
Singular System ◽  
Sufficient Conditions ◽  
Positive Definite ◽  
Linear Matrix ◽  
Sampled Data ◽  
Data Control ◽  
Exponentially Stable ◽  
Data Controller

This paper is concerned with sampled-data controller design for singular systems with time delay. It is assumed that the sampling periods are arbitrarily varying but bounded. A time-dependent Lyapunov function is proposed, which is positive definite at sampling times but not necessarily positive definite inside the sampling intervals. Combining input delay approach with Lyapunov method, sufficient conditions are derived which guarante that the singular system is regular, impulse free, and exponentially stable. Then, the existence conditions of desired sampled-data controller can be obtained, which are formulated in terms of strict linear matrix inequality. Finally, numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.

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