Predictive PI (PPI) control form, capable of time delay compensation, has been put forward recently. This control algorithm is essentially a PI controller with enhanced derivative action, which is not only suitable fo...Predictive PI (PPI) control form, capable of time delay compensation, has been put forward recently. This control algorithm is essentially a PI controller with enhanced derivative action, which is not only suitable for long time delay process, but also of simple structure and excellent robust stability. The performance of PPI controller was demonstrated and compared with that of traditional PID controller by different tuning methods.展开更多
The paper represents very simple procedure of identification, based on step response of the process. Results of identification are extended Strejc＇s models （named ZenanX model, models with n equivalent time constant...The paper represents very simple procedure of identification, based on step response of the process. Results of identification are extended Strejc＇s models （named ZenanX model, models with n equivalent time constants and delay time）. Described mathematically proved equations which show an easy way of filtering and differentiation step response with the help of the data window. It also supports the contention that the point of intersection of tangent to the integrated step response and the X axis represents the sum of time constants and delay time, and showed the method （named ZenoX method） of determining Strej c extended model. For the determination of the impulse response （important for definition of models） are used orthonormal functions （Laguerre）. Simulations are made in the package Matlab. The paper represents results from numerous simulations. The method allows simple and rapid extraction of the Extended Strejc model （ZenanX model）, which is often used to adjust the controllers. Through the simulations of the procedure of removing noise from measured step response is described.展开更多
The stability and stabilization of a class of nonlinear discrete time delayed systems(NDTDS) with time-varying delay and norm-bounded nonlinearity are investigated. Based on discrete time Lyapunov–Krasovskii function...The stability and stabilization of a class of nonlinear discrete time delayed systems(NDTDS) with time-varying delay and norm-bounded nonlinearity are investigated. Based on discrete time Lyapunov–Krasovskii functional method, a sufficient delaydependent condition for asymptotic stability of nonlinear systems is offered. Then, this condition is used to design a new efficient delayed state feedback controller(DSFC) for stabilization of such systems. These conditions are in the linear matrix inequality(LMI) framework. Illustrative examples confirm the improvement of the proposed approach over the similar cases. Furthermore, the obtained stability and stabilization conditions will be extended to uncertain discrete time delayed systems(UDTDS) with polytopic parameter uncertainties and also with norm-bounded parameter uncertainties.展开更多
This paper considers the problem of L2-disturbance attenuation for a class of time-delay port-controlled Hamiltonian systems. A v-dissipative inequality is established by using a proper control law and a storage funct...This paper considers the problem of L2-disturbance attenuation for a class of time-delay port-controlled Hamiltonian systems. A v-dissipative inequality is established by using a proper control law and a storage function. Then based on the Razumikhin stability theorem, a sufficient condition is proposed for the asymptotically stability of the closed-loop system. Finally, the authors investigate the case that there are time-invariant uncertainties belonging to some convex bounded polytypic domain and an L2 disturbance attenuation control law is proposed. Study of illustrative example with simulation shows that the presented method in this paper works very well in the disturbance attenuation of time-delay Hamiltonian systems.展开更多
Ratio-dependent predator prey models are favored by many animal ecologists recently as more suitable ones for predator-prey interactions where predation involves searching process. In this paper, a ratio-dependent pre...Ratio-dependent predator prey models are favored by many animal ecologists recently as more suitable ones for predator-prey interactions where predation involves searching process. In this paper, a ratio-dependent predator prey model with stage structure and time delay for prey is proposed and analyzed. In this model, we only consider the stage structure of immature and mature prey species and not consider the stage structure of predator species. We assume that the predator only feed on the mature prey and the time for prey from birth to maturity represented by a constant time delay. At first, we investigate the permanence and existence of the proposed model and sufficient conditions are derived. Then the global stability of the nonnegative equilibria are derived. We also get the sufficient criteria for stability switch of the positive equilibrium. Finally, some numerical simulations are carried out for supporting the analytic results.展开更多
基金"8 63" High-Tech Research &Development Program of China(No.2 0 0 1-AA413 13 0 )
文摘Predictive PI (PPI) control form, capable of time delay compensation, has been put forward recently. This control algorithm is essentially a PI controller with enhanced derivative action, which is not only suitable for long time delay process, but also of simple structure and excellent robust stability. The performance of PPI controller was demonstrated and compared with that of traditional PID controller by different tuning methods.
文摘The paper represents very simple procedure of identification, based on step response of the process. Results of identification are extended Strejc＇s models （named ZenanX model, models with n equivalent time constants and delay time）. Described mathematically proved equations which show an easy way of filtering and differentiation step response with the help of the data window. It also supports the contention that the point of intersection of tangent to the integrated step response and the X axis represents the sum of time constants and delay time, and showed the method （named ZenoX method） of determining Strej c extended model. For the determination of the impulse response （important for definition of models） are used orthonormal functions （Laguerre）. Simulations are made in the package Matlab. The paper represents results from numerous simulations. The method allows simple and rapid extraction of the Extended Strejc model （ZenanX model）, which is often used to adjust the controllers. Through the simulations of the procedure of removing noise from measured step response is described.
文摘The stability and stabilization of a class of nonlinear discrete time delayed systems(NDTDS) with time-varying delay and norm-bounded nonlinearity are investigated. Based on discrete time Lyapunov–Krasovskii functional method, a sufficient delaydependent condition for asymptotic stability of nonlinear systems is offered. Then, this condition is used to design a new efficient delayed state feedback controller(DSFC) for stabilization of such systems. These conditions are in the linear matrix inequality(LMI) framework. Illustrative examples confirm the improvement of the proposed approach over the similar cases. Furthermore, the obtained stability and stabilization conditions will be extended to uncertain discrete time delayed systems(UDTDS) with polytopic parameter uncertainties and also with norm-bounded parameter uncertainties.
基金supported by the National Natural Science Foundation of China under Grant Nos.61074068, 61004013 and 61034007the Research Fund the Doctoral Program of Chinese Higher Education under Grant No.200804220028+2 种基金China Postdoctoral Science Foundation under Grant No.20100481300the Postdoctoral Innovation Program of Shandong Province under Grant No.200902014the Natural Science Foundation of Shandong Province under Grant No.ZB2010FM013
文摘This paper considers the problem of L2-disturbance attenuation for a class of time-delay port-controlled Hamiltonian systems. A v-dissipative inequality is established by using a proper control law and a storage function. Then based on the Razumikhin stability theorem, a sufficient condition is proposed for the asymptotically stability of the closed-loop system. Finally, the authors investigate the case that there are time-invariant uncertainties belonging to some convex bounded polytypic domain and an L2 disturbance attenuation control law is proposed. Study of illustrative example with simulation shows that the presented method in this paper works very well in the disturbance attenuation of time-delay Hamiltonian systems.
文摘Ratio-dependent predator prey models are favored by many animal ecologists recently as more suitable ones for predator-prey interactions where predation involves searching process. In this paper, a ratio-dependent predator prey model with stage structure and time delay for prey is proposed and analyzed. In this model, we only consider the stage structure of immature and mature prey species and not consider the stage structure of predator species. We assume that the predator only feed on the mature prey and the time for prey from birth to maturity represented by a constant time delay. At first, we investigate the permanence and existence of the proposed model and sufficient conditions are derived. Then the global stability of the nonnegative equilibria are derived. We also get the sufficient criteria for stability switch of the positive equilibrium. Finally, some numerical simulations are carried out for supporting the analytic results.
