In the conventional chaos synchronization methods, the time at which two chaotic systems are synchronized, is usually unknown and depends on initial conditions. In this work based on Lyapunov stability theory a slidin...In the conventional chaos synchronization methods, the time at which two chaotic systems are synchronized, is usually unknown and depends on initial conditions. In this work based on Lyapunov stability theory a sliding mode controller with time-varying switching surfaces is proposed to achieve chaos synchronization at a pre-specified time for the first time. The proposed controller is able to synchronize chaotic systems precisely at any time when we want. Moreover, by choosing the time-varying switching surfaces in a way that the reaching phase is eliminated, the synchronization becomes robust to uncertainties and exogenous disturbances. Simulation results are presented to show the effectiveness of the proposed method of stabilizing and synchronizing chaotic systems with complete robustness to uncertainty and disturbances exactly at a pre-specified time.展开更多
In this paper, we concern the approaching condition of sliding mode control （SMC） with a Lipschitz switching surface that may be nonsmooth. New criteria on the relation between phase trajectories and an arbitrary Li...In this paper, we concern the approaching condition of sliding mode control （SMC） with a Lipschitz switching surface that may be nonsmooth. New criteria on the relation between phase trajectories and an arbitrary Lipschitz continuous surface are examined firstly. Filippov＇s differential inclusion is adopted to describe the dynamics of trajectories of the closed-loop system with SMC. Compared with Filippov＇s criteria for only smooth surface, new criteria are proposed by utilizing the cone conditions that allow the surface to be nonsmooth. This result also yields a new approaching condition of SMC design. Based on the new approaching condition, we develop the sliding mode controller for a class of nonlinear single-input single-output （SISO） systems, of which the switching surface is designed Lips- chitz continuous for the nonsmooth sliding motion. Finally, we provide a numerical example to verify the new design method.展开更多
Using a molecular theory, we investigate the temperature-dependent self-assembly of single-stranded DNA（ss DNA）tethered to a charged nanoparticle surface. Here the size, conformations, and charge properties of ss DN...Using a molecular theory, we investigate the temperature-dependent self-assembly of single-stranded DNA（ss DNA）tethered to a charged nanoparticle surface. Here the size, conformations, and charge properties of ss DNA are taken into account. The main results are as follows： i） when the temperature is lower than the critical switching temperature, the ss DNA will collapse due to the existence of electrostatic interaction between ss DNA and charged nanoparticle surface; ii）for the short ss DNA chains with the number of bases less than 10, the switching of ss DNA cannot happen, and the critical temperature does not exist; iii） when the temperature increases, the electrostatic attractive interaction between ss DNA and charged nanoparticle surface becomes weak dramatically, and ss DNA chains will stretch if the electrostatic attractive interaction is insufficient to overcome the elastic energy of ss DNA and the electrostatic repulsion energy. These findings accord well with the experimental observations. It is predicted that the switching of ss DNA will not happen if the grafting densities are too high.展开更多
The objective is to design a variable structure proportional navigation law for the passive homingmissile so that the missile can hit the target with a minimum miss-distance and desired impact attitude anglewithin the...The objective is to design a variable structure proportional navigation law for the passive homingmissile so that the missile can hit the target with a minimum miss-distance and desired impact attitude anglewithin the required overlcad when it flies at a lower trajectory.This paper utilized the variable structure propor-tional navigation with terminal impact attitude angular constraint,and made estimation about the distance rateand distance between the missile and target,which broke the limitation of a passive homing seeker.Furthermore,the paper let the switch gain vary adaptively with time to avoid any larger initial overload.The mathematicalsimulation was completed by some studied passive homing missile's dynamic model,and the simulation resultsshowed that the navigation law of the passive homing missile can make the missile get the required miss-distance and desired impact attitude angle against tanks at lower trajectories and within the maximum overload;also this guidance law is much robust to the estimation eror of distance and distance rate.展开更多
One of the main problems in variable structure control systems is finding the switching surface on which the controlled plant has a desired specific behaviour.This paper presents a new method for finding switching...One of the main problems in variable structure control systems is finding the switching surface on which the controlled plant has a desired specific behaviour.This paper presents a new method for finding switching surfaces of nonlinear variable structure systems. Using this method, the designer first presents a system with the desired properties, then finds the switching function σ(x) such that the switching surface S∶={x∈R n|σ(x)=0} is coincident with the sliding motion in the given system. This method is applied to the design of the variable structure controller in a power system and the highest transient stability limitations are attained.展开更多
An H-infinifty variable structure control is presented for singular Markov switched systems with mismatched norm-bounded uncertainties and mismatched norm-bounded external disturbances. It is shown that the sliding mo...An H-infinifty variable structure control is presented for singular Markov switched systems with mismatched norm-bounded uncertainties and mismatched norm-bounded external disturbances. It is shown that the sliding mode dynamics on the given switching surface is regular, impulse-free, and stochastically stable and satisfies H-infinity performance. A variable structure controller is designed to guarantee that the system trajectory converges to the linear switching surface in some finite time. Finally, a numerical example is solved to show the effectiveness and validness of the theoretical results.展开更多
The desire to fly small spacecraft close together has been a topic of increasing interest over the past several years.This paper presents the development and analysis of a model predictive control based framework that...The desire to fly small spacecraft close together has been a topic of increasing interest over the past several years.This paper presents the development and analysis of a model predictive control based framework that is used with the D’Amico relative orbital elements(ROEs)to maintain the desired trajectories of a cluster of spacecraft while also allowing freedom to maneuver within some allowable bounds.Switching surfaces based on the ROE constraints contain the full state of the system,allowing for fuel reduction over other approaches that use the Hill—Clohessy—Wiltshire equations.The formation and boundary constraints are designed such that no two agents have overlapping regions,allowing the vehicles to maintain safety of flight without continually maintaining the trajectories of other agents.This framework allows for a scalable method that can support clusters of satellites to safely achieve mission objectives while minimizing fuel usage.This paper provides simulated results of the framework for a three spacecraft formation that demonstrates a 67%fuel reduction when compared to previous approaches.展开更多
This paper studies the nonlinear variable structure control (VSC) technique for designing power system integrate control systems which include an excitation controller and fast valve controller.A new method is applied...This paper studies the nonlinear variable structure control (VSC) technique for designing power system integrate control systems which include an excitation controller and fast valve controller.A new method is applied to find nonlinear switching surface in deriving the control strategy.The responses to various large perturbation are simulated.The simuulation results show that the nonlinear VSC technique for integrated control systems can considerably improve the transient stabilization limitation of power systems and improve the dynamic properties of the generators.展开更多
文摘In the conventional chaos synchronization methods, the time at which two chaotic systems are synchronized, is usually unknown and depends on initial conditions. In this work based on Lyapunov stability theory a sliding mode controller with time-varying switching surfaces is proposed to achieve chaos synchronization at a pre-specified time for the first time. The proposed controller is able to synchronize chaotic systems precisely at any time when we want. Moreover, by choosing the time-varying switching surfaces in a way that the reaching phase is eliminated, the synchronization becomes robust to uncertainties and exogenous disturbances. Simulation results are presented to show the effectiveness of the proposed method of stabilizing and synchronizing chaotic systems with complete robustness to uncertainty and disturbances exactly at a pre-specified time.
文摘In this paper, we concern the approaching condition of sliding mode control （SMC） with a Lipschitz switching surface that may be nonsmooth. New criteria on the relation between phase trajectories and an arbitrary Lipschitz continuous surface are examined firstly. Filippov＇s differential inclusion is adopted to describe the dynamics of trajectories of the closed-loop system with SMC. Compared with Filippov＇s criteria for only smooth surface, new criteria are proposed by utilizing the cone conditions that allow the surface to be nonsmooth. This result also yields a new approaching condition of SMC design. Based on the new approaching condition, we develop the sliding mode controller for a class of nonlinear single-input single-output （SISO） systems, of which the switching surface is designed Lips- chitz continuous for the nonsmooth sliding motion. Finally, we provide a numerical example to verify the new design method.
基金Project supported by the Joint Funds of Xinjiang Natural Science Foundation,China(Grant No.2015211C298)
文摘Using a molecular theory, we investigate the temperature-dependent self-assembly of single-stranded DNA（ss DNA）tethered to a charged nanoparticle surface. Here the size, conformations, and charge properties of ss DNA are taken into account. The main results are as follows： i） when the temperature is lower than the critical switching temperature, the ss DNA will collapse due to the existence of electrostatic interaction between ss DNA and charged nanoparticle surface; ii）for the short ss DNA chains with the number of bases less than 10, the switching of ss DNA cannot happen, and the critical temperature does not exist; iii） when the temperature increases, the electrostatic attractive interaction between ss DNA and charged nanoparticle surface becomes weak dramatically, and ss DNA chains will stretch if the electrostatic attractive interaction is insufficient to overcome the elastic energy of ss DNA and the electrostatic repulsion energy. These findings accord well with the experimental observations. It is predicted that the switching of ss DNA will not happen if the grafting densities are too high.
文摘The objective is to design a variable structure proportional navigation law for the passive homingmissile so that the missile can hit the target with a minimum miss-distance and desired impact attitude anglewithin the required overlcad when it flies at a lower trajectory.This paper utilized the variable structure propor-tional navigation with terminal impact attitude angular constraint,and made estimation about the distance rateand distance between the missile and target,which broke the limitation of a passive homing seeker.Furthermore,the paper let the switch gain vary adaptively with time to avoid any larger initial overload.The mathematicalsimulation was completed by some studied passive homing missile's dynamic model,and the simulation resultsshowed that the navigation law of the passive homing missile can make the missile get the required miss-distance and desired impact attitude angle against tanks at lower trajectories and within the maximum overload;also this guidance law is much robust to the estimation eror of distance and distance rate.
文摘One of the main problems in variable structure control systems is finding the switching surface on which the controlled plant has a desired specific behaviour.This paper presents a new method for finding switching surfaces of nonlinear variable structure systems. Using this method, the designer first presents a system with the desired properties, then finds the switching function σ(x) such that the switching surface S∶={x∈R n|σ(x)=0} is coincident with the sliding motion in the given system. This method is applied to the design of the variable structure controller in a power system and the highest transient stability limitations are attained.
基金This work was supported by the National Natural Science Foundation of China(No.60574007,60674027).
文摘An H-infinifty variable structure control is presented for singular Markov switched systems with mismatched norm-bounded uncertainties and mismatched norm-bounded external disturbances. It is shown that the sliding mode dynamics on the given switching surface is regular, impulse-free, and stochastically stable and satisfies H-infinity performance. A variable structure controller is designed to guarantee that the system trajectory converges to the linear switching surface in some finite time. Finally, a numerical example is solved to show the effectiveness and validness of the theoretical results.
文摘The desire to fly small spacecraft close together has been a topic of increasing interest over the past several years.This paper presents the development and analysis of a model predictive control based framework that is used with the D’Amico relative orbital elements(ROEs)to maintain the desired trajectories of a cluster of spacecraft while also allowing freedom to maneuver within some allowable bounds.Switching surfaces based on the ROE constraints contain the full state of the system,allowing for fuel reduction over other approaches that use the Hill—Clohessy—Wiltshire equations.The formation and boundary constraints are designed such that no two agents have overlapping regions,allowing the vehicles to maintain safety of flight without continually maintaining the trajectories of other agents.This framework allows for a scalable method that can support clusters of satellites to safely achieve mission objectives while minimizing fuel usage.This paper provides simulated results of the framework for a three spacecraft formation that demonstrates a 67%fuel reduction when compared to previous approaches.
基金Supported by the Science Foundation of Tsinghua University
文摘This paper studies the nonlinear variable structure control (VSC) technique for designing power system integrate control systems which include an excitation controller and fast valve controller.A new method is applied to find nonlinear switching surface in deriving the control strategy.The responses to various large perturbation are simulated.The simuulation results show that the nonlinear VSC technique for integrated control systems can considerably improve the transient stabilization limitation of power systems and improve the dynamic properties of the generators.
