In this paper, switched controllers are designed for a class of nonlinear discrete singular systems and a class of discrete singular bilinear systems. An invariant principle is presented for such switched nonlinear si...In this paper, switched controllers are designed for a class of nonlinear discrete singular systems and a class of discrete singular bilinear systems. An invariant principle is presented for such switched nonlinear singular systems. The invariant principle and the switched controllers are used to globally stabilize a class of singular bilinear systems that are not open-loop stable.展开更多
In this paper, the construction problem of the decentralized Bezout identity for singular decentralized control systems is considered. A state space realization of the decentralized Bezout identity for singular decen...In this paper, the construction problem of the decentralized Bezout identity for singular decentralized control systems is considered. A state space realization of the decentralized Bezout identity for singular decentralized control systems is developed. What is more, the parametrization of all normal decentralized properly stabilizing controllers is characterized and interpreted on the basis of the decentralized Bezout identity presented here. In fact, the work done in this paper is an extension of which was derived for normal decentralized control systems in the references by Date (1991) and Date and Chow (1994).展开更多
This paper addresses the almost surely exponential(ASE)stabilisation problem of continuoustime singular semi-Markov jump systems(s-MJSs),where the state at jump instants is discontinuous.Because of such a discontinuit...This paper addresses the almost surely exponential(ASE)stabilisation problem of continuoustime singular semi-Markov jump systems(s-MJSs),where the state at jump instants is discontinuous.Because of such a discontinuity existing,the consistency of initial condition at jump instants is impossible to be ensured but is an essential issue of singular systems.A proportional-derivative(PD)state feedback controller is proposed to deal with it such that the closed-loop singular s-MJSs is normal and ASE-stable.New sufficient conditions for the existence of such a controller are derived as linear matrix inequalities,which includes some existing considered systems as special situations.Two numerical examples are used to show the effectiveness and superiority of the methods.展开更多
In this paper,the problem of model reference adaptive controller design with actuator failure is solved for a series of uncertain singular systems.The research on partial actuator failure is relatively mature and it i...In this paper,the problem of model reference adaptive controller design with actuator failure is solved for a series of uncertain singular systems.The research on partial actuator failure is relatively mature and it is necessary to solve the problem of how to guarantee the system performance when the actuator fails completely.For this reason,we treat the system with actuator failure as a switching system with two subsystems and then solve the stability analysis problem of the error switching system.The emphasis is to design the adaptive controller by some sufficient linear matrices inequalities(LMIs)conditions and obtain the global stability criterion of the error switching system through the resident time method.Finally,the proposed method is applied to HiMAT aircraft to illustrate the feasibility and effectiveness of this kind of problem.展开更多
In this paper, we study the stability of discrete linear singular systems by switching controller. Using some recent results on multiple-Lyapunov function technique, we obtain two sufficient conditions of linear singu...In this paper, we study the stability of discrete linear singular systems by switching controller. Using some recent results on multiple-Lyapunov function technique, we obtain two sufficient conditions of linear singular systems.展开更多
In this paper,a new identification and control scheme for the flexible joint robotic manipulator is proposed.Firstly,by defining some new state variables,the commonly used dynamic equations of the flexible joint robot...In this paper,a new identification and control scheme for the flexible joint robotic manipulator is proposed.Firstly,by defining some new state variables,the commonly used dynamic equations of the flexible joint robotic manipulators are transformed into the standard form of a singularly perturbed model.Subsequently,an optimal bounded ellipsoid algorithm based identification scheme using multi-time-scale neural network is proposed to identify the unknown system dynamic equations.Lastly,by using the singular perturbation theory,an indirect adaptive controller based on the identified model is proposed to control the system such that the joint angles can track the given reference signals.The closed-loop stability of the whole system is proved,and the effectiveness of the proposed schemes is verified by simulations.展开更多
对于具有不确定量的奇异摄动系统 ,利用 L yapunov稳定性理论研究其稳定鲁棒控制问题。在一定条件下得到了任一理想奇异摄动系统的稳定鲁棒控制 ,也是不确定奇异摄动系统具有一定鲁棒界的稳定控制。给出了闭环奇异摄动系统渐近稳定的条...对于具有不确定量的奇异摄动系统 ,利用 L yapunov稳定性理论研究其稳定鲁棒控制问题。在一定条件下得到了任一理想奇异摄动系统的稳定鲁棒控制 ,也是不确定奇异摄动系统具有一定鲁棒界的稳定控制。给出了闭环奇异摄动系统渐近稳定的条件 ,讨论了鲁棒界及其变化范围。展开更多
基金This work was supported by the Science Technical Foundation of Liaoning of China (No. 2001401041)
文摘In this paper, switched controllers are designed for a class of nonlinear discrete singular systems and a class of discrete singular bilinear systems. An invariant principle is presented for such switched nonlinear singular systems. The invariant principle and the switched controllers are used to globally stabilize a class of singular bilinear systems that are not open-loop stable.
基金This work was supported by National Natural Science Foundation of China!( 69874 0 2 7) Hong Kong Research Grant Council! 71
文摘In this paper, the construction problem of the decentralized Bezout identity for singular decentralized control systems is considered. A state space realization of the decentralized Bezout identity for singular decentralized control systems is developed. What is more, the parametrization of all normal decentralized properly stabilizing controllers is characterized and interpreted on the basis of the decentralized Bezout identity presented here. In fact, the work done in this paper is an extension of which was derived for normal decentralized control systems in the references by Date (1991) and Date and Chow (1994).
基金the National Natural Science Foundation of China[grant numbers 61473140 and 62073158]the Liaoning Revitalization Talents Program[grant number XLYC1807030]the Program for Liaoning Innovative Talents in University[grant number LR2017029].
文摘This paper addresses the almost surely exponential(ASE)stabilisation problem of continuoustime singular semi-Markov jump systems(s-MJSs),where the state at jump instants is discontinuous.Because of such a discontinuity existing,the consistency of initial condition at jump instants is impossible to be ensured but is an essential issue of singular systems.A proportional-derivative(PD)state feedback controller is proposed to deal with it such that the closed-loop singular s-MJSs is normal and ASE-stable.New sufficient conditions for the existence of such a controller are derived as linear matrix inequalities,which includes some existing considered systems as special situations.Two numerical examples are used to show the effectiveness and superiority of the methods.
基金This work is supported by National Natural Science Foundation of China under Grants 61673100,61703083Fundamental Research Funds for Central Universities under Grant N150504011.
文摘In this paper,the problem of model reference adaptive controller design with actuator failure is solved for a series of uncertain singular systems.The research on partial actuator failure is relatively mature and it is necessary to solve the problem of how to guarantee the system performance when the actuator fails completely.For this reason,we treat the system with actuator failure as a switching system with two subsystems and then solve the stability analysis problem of the error switching system.The emphasis is to design the adaptive controller by some sufficient linear matrices inequalities(LMIs)conditions and obtain the global stability criterion of the error switching system through the resident time method.Finally,the proposed method is applied to HiMAT aircraft to illustrate the feasibility and effectiveness of this kind of problem.
基金Supported by the Young Teacher from Henan Province(2004)
文摘In this paper, we study the stability of discrete linear singular systems by switching controller. Using some recent results on multiple-Lyapunov function technique, we obtain two sufficient conditions of linear singular systems.
基金the Natural Sciences and Engineering Research Council of Canada(No.N00892)。
文摘In this paper,a new identification and control scheme for the flexible joint robotic manipulator is proposed.Firstly,by defining some new state variables,the commonly used dynamic equations of the flexible joint robotic manipulators are transformed into the standard form of a singularly perturbed model.Subsequently,an optimal bounded ellipsoid algorithm based identification scheme using multi-time-scale neural network is proposed to identify the unknown system dynamic equations.Lastly,by using the singular perturbation theory,an indirect adaptive controller based on the identified model is proposed to control the system such that the joint angles can track the given reference signals.The closed-loop stability of the whole system is proved,and the effectiveness of the proposed schemes is verified by simulations.
