The robust stabilizating control problem for a class of uncertain nonlinear large-scale systems is discussed. Based on the theory of both input/output (I/O) linearization and decentralized variable structure control (...The robust stabilizating control problem for a class of uncertain nonlinear large-scale systems is discussed. Based on the theory of both input/output (I/O) linearization and decentralized variable structure control (VSC),two-level and decentralized variable structure control laws for this kind of systems are presented respectively,which achieve asymptotically stabilization despite the uncertainties and disturbances. At last,sirnulation of the disturbed two-pendulum system is given to illustrate the feasibility of proposed technique.展开更多
Objective Qing Fu Juan Bi Tang(QFJBT)is an anti-arthritic Chinese medicine formula consisting of five herbs:Aconiti Lateralis Radix Praeparata(Fu Zi,附子),Sinomenii Caulis(Qing Feng Teng,青风藤),Astragali Radix(Huang ...Objective Qing Fu Juan Bi Tang(QFJBT)is an anti-arthritic Chinese medicine formula consisting of five herbs:Aconiti Lateralis Radix Praeparata(Fu Zi,附子),Sinomenii Caulis(Qing Feng Teng,青风藤),Astragali Radix(Huang Qi,黄芪),Paeoniae Radix Alba(Bai Shao,白芍)and Moutan Cortex(Mu Dan Pi,牡丹皮),which have well-established histories of use for treatment of rheumatic and arthritic diseases.We intended to establish the optimized and standardized pharmaceutical procedures and manufacturing processes for the pilot production of QFJBT to develop it as a novel botanical drug product for treatment of rheumatoid arthritis(RA).Methods The combinative approaches of chemical assessment,toxicological and pharmacological evaluation were explored to define the pharmaceutical preparation of QFJBT.Results The optimized and standardized pharmaceutical procedures and manufacturing processes for the pilot production of QFJBT were established in terms of greatest chemical contents of bioactive constituents,potent anti-inflammatory and antinociceptive activities,and favorable safety profile.Quality analysis of the pilot product of QFJBT by high-performance liquid chromatography(HPLC)demonstrated that the chromatographic fingerprint profiles of three batches of QFJBT were basically identical and the contents of four characteristic and bioactive markers were relatively consistent.General toxicological studies showed a favorable safety profile of QFJBT.The maximum tolerated single dose of QFJBT was determined in both sexes of rats to be 33.63 g/kg body weight which is equivalent to 346 times of clinical dose.In the chronic oral toxicity study,the results of laboratory investigation showed that QFJBT at doses of 3.89,6.80 and 9.72 g/kg body weight(equivalent to 40,70 and 100-fold clinical doses,respectively)caused no changes in all hematological parameters and blood biochemical parameters of rats.No mortality or specific toxic responses were observed in animals after three months of repeated dosing with QFJBT.Conclusion The optimized and standardized pharmaceutical and manufacturing processes for the production of QFJBT have been successfully screened and identified through established rigorous in-process controls.展开更多
The dynamic linear state feedback control problem is addressed for a class of nonlinear systems subject to time-delay.First,using the dynamic change of coordinates,the problem of global state feedback stabilization is...The dynamic linear state feedback control problem is addressed for a class of nonlinear systems subject to time-delay.First,using the dynamic change of coordinates,the problem of global state feedback stabilization is solved for a class of time-delay systems under a type of nonhomogeneous growth conditions.With the aid of an appropriate Lyapunov-Krasovskii functional and the adaptive strategy used in coordinates,the closed-loop system can be globally asymptotically stabilized by the dynamic linear state feedback controller.The growth condition in perturbations are more general than that in the existing results.The correctness of the theoretical results are illustrated with an academic simulation example.展开更多
This paper deals with the problem of the stabilization for multi-input polytopic nonlinear systems. Based on the robust control Lyapunov function, a sufficient condition for the existence of time-invariant, continuous...This paper deals with the problem of the stabilization for multi-input polytopic nonlinear systems. Based on the robust control Lyapunov function, a sufficient condition for the existence of time-invariant, continuous, asymptotically stabilizing state feedback controller is derived. It is shown that the obtained sufficient condition is also necessary if there exists a state feedback controller such that the closed-loop system has a robust Lyapunov function for all possible uncertainties. Moreover, a universal formula for constructing stabilizing controller is proposed and the existence of the corresponding Lyapunov function is proven. Particularly, a Lyapunov function is constructed for the polytopic nonlinear system in canonical form. Finally, the feasibility of the proposed control law is verified by a numerical example.展开更多
This paper studies the stabilization problem of uniform Euler-Bernoulli beam with a nonlinear locally distributed feedback control. By virtue of nonlinear semigroup theory, energy-perturbed approach and polynomial mul...This paper studies the stabilization problem of uniform Euler-Bernoulli beam with a nonlinear locally distributed feedback control. By virtue of nonlinear semigroup theory, energy-perturbed approach and polynomial multiplier skill, the authors show that, corresponding to the different values of the parameters involved in the nonlinear locally distributed feedback control, the energy of the beam under the proposed feedback decays exponentially or in negative power of time t as t →∞.展开更多
This paper deals with a scalar conservation law in 1-D space dimension, and in particular, the focus is on the stability analysis for such an equation. The problem of feedback stabilization under proportional-integral...This paper deals with a scalar conservation law in 1-D space dimension, and in particular, the focus is on the stability analysis for such an equation. The problem of feedback stabilization under proportional-integral-derivative(PID for short) boundary control is addressed. In the proportional-integral(PI for short) controller case, by spectral analysis, the authors provide a complete characterization of the set of stabilizing feedback parameters, and determine the corresponding time delay stability interval. Moreover, the stability of the equilibrium is discussed by Lyapunov function techniques, and by this approach the exponential stability when a damping term is added to the classical PI controller scheme is proved. Also, based on Pontryagin results on stability for quasipolynomials, it is shown that the closed-loop system sub ject to PID control is always unstable.展开更多
Simultaneous stabilization of linear systems is a fundamental issue in the system and control theory, and is of theoretical and practical significance. In this paper, the authors review the recent research progress an...Simultaneous stabilization of linear systems is a fundamental issue in the system and control theory, and is of theoretical and practical significance. In this paper, the authors review the recent research progress and the state-of-art results on simultaneous stabilization of single-input single-output linear time-invariant systems. Especially, the authors list the ever best results on the parameters involved in the well known ＂French Champagne Problem＂ and ＂Belgian Chocolate Problem＂ from the point of view of mathematical theoretical analysis and numerical calculation. And the authors observed that Boston claimed the lower bound of 5 can be enlarged to 0.976461 in 2012 is not accurate. The authors hope it will inspire further study on simultaneous stabilization of several linear systems.展开更多
文摘The robust stabilizating control problem for a class of uncertain nonlinear large-scale systems is discussed. Based on the theory of both input/output (I/O) linearization and decentralized variable structure control (VSC),two-level and decentralized variable structure control laws for this kind of systems are presented respectively,which achieve asymptotically stabilization despite the uncertainties and disturbances. At last,sirnulation of the disturbed two-pendulum system is given to illustrate the feasibility of proposed technique.
基金support from the National Natural Science Foundation of China(No.81704065)China Postdoctoral Science Foundation(No.2016M600632 and No.2017T100604)+3 种基金Hunan Provincial Natural Science Foundation(No.2017JJ3239 and No.2018JJ2293)Hunan Education Department’s Science&Research Project(No.17K069)Hunan Provincial Science&Research Project of Chinese Medicine(No.201790)National First-class Disciple Construction Project of Chinese Medicine of Hunan University of Chinese Medicine
文摘Objective Qing Fu Juan Bi Tang(QFJBT)is an anti-arthritic Chinese medicine formula consisting of five herbs:Aconiti Lateralis Radix Praeparata(Fu Zi,附子),Sinomenii Caulis(Qing Feng Teng,青风藤),Astragali Radix(Huang Qi,黄芪),Paeoniae Radix Alba(Bai Shao,白芍)and Moutan Cortex(Mu Dan Pi,牡丹皮),which have well-established histories of use for treatment of rheumatic and arthritic diseases.We intended to establish the optimized and standardized pharmaceutical procedures and manufacturing processes for the pilot production of QFJBT to develop it as a novel botanical drug product for treatment of rheumatoid arthritis(RA).Methods The combinative approaches of chemical assessment,toxicological and pharmacological evaluation were explored to define the pharmaceutical preparation of QFJBT.Results The optimized and standardized pharmaceutical procedures and manufacturing processes for the pilot production of QFJBT were established in terms of greatest chemical contents of bioactive constituents,potent anti-inflammatory and antinociceptive activities,and favorable safety profile.Quality analysis of the pilot product of QFJBT by high-performance liquid chromatography(HPLC)demonstrated that the chromatographic fingerprint profiles of three batches of QFJBT were basically identical and the contents of four characteristic and bioactive markers were relatively consistent.General toxicological studies showed a favorable safety profile of QFJBT.The maximum tolerated single dose of QFJBT was determined in both sexes of rats to be 33.63 g/kg body weight which is equivalent to 346 times of clinical dose.In the chronic oral toxicity study,the results of laboratory investigation showed that QFJBT at doses of 3.89,6.80 and 9.72 g/kg body weight(equivalent to 40,70 and 100-fold clinical doses,respectively)caused no changes in all hematological parameters and blood biochemical parameters of rats.No mortality or specific toxic responses were observed in animals after three months of repeated dosing with QFJBT.Conclusion The optimized and standardized pharmaceutical and manufacturing processes for the production of QFJBT have been successfully screened and identified through established rigorous in-process controls.
基金supported by US National Science Foundation under Grant No.HRD-0932339the National Natural Science Foundation of China under Grant Nos.61374038,61374050,61273119,61174076+1 种基金the Natural Science Foundation of Jiangsu Province of China under Grant No.BK2011253Research Fund for the Doctoral Program of Higher Education of China under Grant No.20110092110021
文摘The dynamic linear state feedback control problem is addressed for a class of nonlinear systems subject to time-delay.First,using the dynamic change of coordinates,the problem of global state feedback stabilization is solved for a class of time-delay systems under a type of nonhomogeneous growth conditions.With the aid of an appropriate Lyapunov-Krasovskii functional and the adaptive strategy used in coordinates,the closed-loop system can be globally asymptotically stabilized by the dynamic linear state feedback controller.The growth condition in perturbations are more general than that in the existing results.The correctness of the theoretical results are illustrated with an academic simulation example.
文摘This paper deals with the problem of the stabilization for multi-input polytopic nonlinear systems. Based on the robust control Lyapunov function, a sufficient condition for the existence of time-invariant, continuous, asymptotically stabilizing state feedback controller is derived. It is shown that the obtained sufficient condition is also necessary if there exists a state feedback controller such that the closed-loop system has a robust Lyapunov function for all possible uncertainties. Moreover, a universal formula for constructing stabilizing controller is proposed and the existence of the corresponding Lyapunov function is proven. Particularly, a Lyapunov function is constructed for the polytopic nonlinear system in canonical form. Finally, the feasibility of the proposed control law is verified by a numerical example.
基金This research is supported by the National Science Foundation of China under Grant Nos. 10671166 and 60673101.
文摘This paper studies the stabilization problem of uniform Euler-Bernoulli beam with a nonlinear locally distributed feedback control. By virtue of nonlinear semigroup theory, energy-perturbed approach and polynomial multiplier skill, the authors show that, corresponding to the different values of the parameters involved in the nonlinear locally distributed feedback control, the energy of the beam under the proposed feedback decays exponentially or in negative power of time t as t →∞.
基金supported by the ERC Advanced Grant 266907(CPDENL)of the 7th Research Framework Programme(FP7)FIRST,Initial Training Network of the European Commission(No.238702)PITNGA-2009-238702
文摘This paper deals with a scalar conservation law in 1-D space dimension, and in particular, the focus is on the stability analysis for such an equation. The problem of feedback stabilization under proportional-integral-derivative(PID for short) boundary control is addressed. In the proportional-integral(PI for short) controller case, by spectral analysis, the authors provide a complete characterization of the set of stabilizing feedback parameters, and determine the corresponding time delay stability interval. Moreover, the stability of the equilibrium is discussed by Lyapunov function techniques, and by this approach the exponential stability when a damping term is added to the classical PI controller scheme is proved. Also, based on Pontryagin results on stability for quasipolynomials, it is shown that the closed-loop system sub ject to PID control is always unstable.
基金supported by the National Natural Science Foundation under Grant Nos.61370176 and 61571064
文摘Simultaneous stabilization of linear systems is a fundamental issue in the system and control theory, and is of theoretical and practical significance. In this paper, the authors review the recent research progress and the state-of-art results on simultaneous stabilization of single-input single-output linear time-invariant systems. Especially, the authors list the ever best results on the parameters involved in the well known ＂French Champagne Problem＂ and ＂Belgian Chocolate Problem＂ from the point of view of mathematical theoretical analysis and numerical calculation. And the authors observed that Boston claimed the lower bound of 5 can be enlarged to 0.976461 in 2012 is not accurate. The authors hope it will inspire further study on simultaneous stabilization of several linear systems.
