Yingying Cheng

Finite-Time Synchronization of a Class of Second-Order Nonlinear Multi-Agent Systems Using Output Feedback Control

This paper considers the problem of finite-time synchronization for a class of second-order nonlinear multi-agent systems with a leader-follower architecture. By using the finite-time control technique and homogenous systems theory, a finite-time state feedback controller is first proposed. Then to address the lack of velocity measurement, a finite-time convergent observer is constructed to estimate the unknown velocity information in a finite time. Finally, an observer-based finite-time output feedback controller is developed. Rigorous proof shows that the systems output can reach synchronization in a finite time and the final consensus states are the leaders states. In addition, for some special second-order multi-agent systems, a bounded finite-time output feedback controller can also be designed.

Distributed Finite-Time Cooperative Control of Multiple High-Order Nonholonomic Mobile Robots

The consensus problem of multiple nonholonomic mobile robots in the form of high-order chained structure is considered in this paper. Based on the model features and the finite-time control technique, a finite-time cooperative controller is explicitly constructed which guarantees that the states consensus is achieved in a finite time. As an application of the proposed results, finite-time formation control of multiple wheeled mobile robots is studied and a finite-time formation control algorithm is proposed. To show effectiveness of the proposed approach, a simulation example is given.

Distributed finite-time attitude regulation for multiple rigid spacecraft via bounded control

The problem of finite-time attitude regulation for multiple rigid spacecraft with leader-follower architecture is studied. The desired attitude for spacecraft formation is represented by the attitude of a leader. A distributed finite-time convergent observer is first proposed to estimate the leaders attitude in a finite time. By using the technique of finite-time saturation control, a bounded finite-time attitude controller is designed to track the estimated attitude and then the leaders attitude in a finite time. A simulation example is finally given.

Robust finite-time synchronization of coupled harmonic oscillations with external disturbance

Abstract This paper considers the problem of finite-time synchronization for multiple coupled harmonic oscillators with a leader–follower architecture. By using the techniques of finite-time control and saturation control, a class of bounded finite-time state feedback controllers are first proposed. Then to address the case in the presence of external disturbance and lack of velocity measurement, a finite-time convergent observer is constructed to estimate both the unknown velocity information and the disturbance in a finite time. Finally, a disturbance observer-based bounded finite-time output feedback controller is developed. Rigorous proof shows that the systems output can reach synchronization in a finite time and the final consensus states are the leader׳s states.

Fast Adaptive Finite-Time Voltage Regulation Control Algorithm for a Buck Converter System

A new voltage regulation control algorithm is designed for the buck-type dc-dc converter system in the presence of unknown input voltage and load variations. To enhance the voltage regulation time by using the finite-time control theory, a new fast voltage regulation control algorithm is designed that can guarantee that the output voltage converges to the reference voltage in a finite time. To address the unknown input voltage and load variations, two finite-time convergent observers are designed to estimate the unknown parameters in a finite time. Finally, an adaptive finite-time control algorithm is developed. Compared with the PI control algorithm, experimental results show that the proposed algorithm has a faster regulation performance and stronger performance on load-variation rejection.

Finite-time attitude regulation control for a rigid spacecraft under input saturation

The problem of attitude regulation for a rigid spacecraft under input saturation is studied in this paper. Based on the technique of finite-time control and the model structural features, a novel finite-time attitude controller is proposed. The bound of a proposed finite-time controller can be adjusted to any small level to accommodate the actuation bound in practical implementation. A simulation example is given to demonstrate the efficiency of the proposed method.

Finite-time consensus tracking of multiple coupled harmonic oscillations via bounded control

This paper considers the problem of finite-time consensus tracking for multiple harmonic oscillators with a leader-follower architecture. By using the techniques of finite-time control and saturation control, a class of bounded finite-time controllers are first proposed. Then to address the case in the presence of external disturbance, a finite-time convergent disturbance observer is constructed to estimate the disturbance in a finite time. Finally, a disturbance observer-based bounded finite-time controller is developed. Rigorous proof shows that the systems states can reach consensus in a finite time and the final consensus states are the leaders states.

Attitude synchronization for multiple flexible spacecraft based on non-smooth control

Abstract This paper considers the problem of attitude synchronization for a group of flexible spacecraft based on distributed attitude cooperative control strategy. Based on the backstepping design, non-smooth control, and the neighbor-based design rule, a distributed attitude control law is constructed step by step. Under the proposed control law, it is shown that the attitude synchronization is achieved asymptotically and the induced vibration by flexible appendages is simultaneously suppressed.