In this paper we review the recent advances in three sub-areas of iterative learning control (ILC): 1) linear ILC for linear processes, 2) linear ILC for nonlinear processes which are global Lipschitz continuous (GLC)...In this paper we review the recent advances in three sub-areas of iterative learning control (ILC): 1) linear ILC for linear processes, 2) linear ILC for nonlinear processes which are global Lipschitz continuous (GLC), and 3) nonlinear ILC for general nonlinear processes. For linear processes, we focus on several basic configurations of linear ILC. For nonlinear processes with linear ILC, we concentrate on the design and transient analysis which were overlooked and missing for a long period. For general classes of nonlinear processes, we demonstrate nonlinear ILC methods based on Lyapunov theory, which is evolving into a new control paradigm.展开更多
This paper studies the robust stochastic stabilization and robust H∞ control for linear time-delay systems with both Markovian jump parameters and unknown norm-bounded parameter uncertainties. This problem can be sol...This paper studies the robust stochastic stabilization and robust H∞ control for linear time-delay systems with both Markovian jump parameters and unknown norm-bounded parameter uncertainties. This problem can be solved on the basis of stochastic Lyapunov approach and linear matrix inequality (LMI) technique. Sufficient conditions for the existence of stochastic stabilization and robust H∞ state feedback controller are presented in terms of a set of solutions of coupled LMIs. Finally, a numerical example is included to demonstrate the practicability of the proposed methods.展开更多
This paper investigates the design of robust guaranteed cost observer for a class of lineardescriptor time-delay systems with jumping parameters. The system under study involves time de-lays, jumping parameters and un...This paper investigates the design of robust guaranteed cost observer for a class of lineardescriptor time-delay systems with jumping parameters. The system under study involves time de-lays, jumping parameters and uncertainties. The transition of the jumping parameters in systems isgoverned by a finite-state Markov process. The objective is to design linear memoryless observers suchthat for all uncertainties, the resulting augmented system is regular, impulse free, robust stochasti-cally stable independent of delays and satisfies the proposed guaranteed cost performance. Based onstability theory in stochastic differential equations, a sufficient condition on the existence of robustguaranteed cost observers is derived. Robust guaranteed cost observers are designed in terms of linearmatrix inequalities. A convex optimization problem with LMI constraints is formulated to design thesuboptimal guaranteed cost filters.展开更多
The article focuses on a theoretical and experimental framework for the quantification of interaction between nonlinear geomechnical and physicochemical processes in high-stress coal-bearing rock mass during mining un...The article focuses on a theoretical and experimental framework for the quantification of interaction between nonlinear geomechnical and physicochemical processes in high-stress coal-bearing rock mass during mining under high seismic risk due to large-scale blasting and earthquakes,as well as because of structural and temperature effects.The tests were aimed to examine and study comprehensively the piston mechanism of gas exchange and mass transfer processes,revealed recently at the Institute of Mining,SB RAS,as well as to explain the fact that the earthquake-induced low-velocity(quasi-meter range)pendulum waves(velocity to 1 m/s and frequency of 0.5–5 Hz)could stimulate an increase in the gas content in coal mines.In order to perform laboratory investigation at the Institute of Mining SB RAS,special-purpose stand for analyzing gas exchange and mass transfer processes in coal-bearing geomaterials under various thermodynamic conditions(P,V,T)and gas composition was constructed in cooperation with the Institute of Semiconductors Physics SB RAS.Matching of air flow rate with compression pressures allowed to obtain relations showing that air flow rate increases at the uncertain time interval under the increasing of the compression pressure.The same measurements was carried out with another gases such as Hydrogen H_(2),Helium He,methane CH_(4),carbon dioxide CO_(2) and carbon oxide CO.The laboratory tests aimed to detailed investigation of the previously revealed“piston mechanism”of gas exchange and mass transfer processes in the coal specimens and their quantitative description in terms of theory of the pendulum waves were carried in the first time.Consequently,there are some arguments for the testing of the opportunity of quantitative description of the“piston mechanism”related to gas exchange and mass transfer processes in the scale of coal mines.It is relevant when pendulum waves induced by powerful earthquakes and technical blasting reaches the mine.展开更多
We present a probabilistic construction of R^(d)-valued non-linear affine processes with jumps.Given a setΘof affine parameters,we define a family of sublinear expectations on the Skorokhod space under which the cano...We present a probabilistic construction of R^(d)-valued non-linear affine processes with jumps.Given a setΘof affine parameters,we define a family of sublinear expectations on the Skorokhod space under which the canonical process X is a(sublinear)Markov process with a non-linear generator.This yields a tractable model for Knightian uncertainty for which the sublinear expectation of a Markovian functional can be calculated via a partial integro-differential equation.展开更多
设{εt;t∈Z+}是一严平稳零均值的LPQD随机变量序列,并且0<Eε12<∞,σ2=Eε12+2sum from j=2 to ∞ (Eε1εj),0<σ2<∞,{aj;j∈N}是一实数序列,满足sum from j=0 to ∞ |aj|<∞.定义线性过程Xt=sum from j=0 to ∞ (a...设{εt;t∈Z+}是一严平稳零均值的LPQD随机变量序列,并且0<Eε12<∞,σ2=Eε12+2sum from j=2 to ∞ (Eε1εj),0<σ2<∞,{aj;j∈N}是一实数序列,满足sum from j=0 to ∞ |aj|<∞.定义线性过程Xt=sum from j=0 to ∞ (ajεt-j),t≥1,并令Sn=sum from t=1 to n Xt,Mn=max|Sk|,k≤n n≥1.利用弱收敛定理和矩不等式,对一般的拟权函数和边界函数,证明了{Mn}和{Sn}的精确渐近性.展开更多
In this paper, we investigate the complete moment convergence for dependent linear processes with random coefficients to form Xt =∑j^∞=∞ Aj∈t-j,where {∈n, n ∈ Z} is a sequence of END stochastically dominated ran...In this paper, we investigate the complete moment convergence for dependent linear processes with random coefficients to form Xt =∑j^∞=∞ Aj∈t-j,where {∈n, n ∈ Z} is a sequence of END stochastically dominated random variables and {An,n ∈ Z} is a sequence of random varibles. As applications, the convergence rate, Marcinkiewicz-Zvgmund strong law and strong law of large numbers for this linear process are established.展开更多
The replacement problem can be modeled as a finite, irreducible, homogeneous Markov Chain. In our proposal, we modeled the problem using a Markov decision process and then, the instance is optimized using linear progr...The replacement problem can be modeled as a finite, irreducible, homogeneous Markov Chain. In our proposal, we modeled the problem using a Markov decision process and then, the instance is optimized using linear programming. Our goal is to analyze the sensitivity and robustness of the optimal solution across the perturbation of the optimal basis ?obtained from the simplex algorithm. The perturbation ?can be approximated by a given matrix H?such that . Some algebraic relations between the optimal solution and the perturbed instance are obtained and discussed.展开更多
在微波等离子体化学气相沉积(MPCVD)装置中,氢气作为镀膜工艺中重要的参与气体,对镀膜工艺有直接的影响。在微波放电等离子体发生装置中激发氢等离子体,使用高分辨率的多道光谱分析仪实时采集Hα谱线,对谱线的线型分布进行微分,得出谱...在微波等离子体化学气相沉积(MPCVD)装置中,氢气作为镀膜工艺中重要的参与气体,对镀膜工艺有直接的影响。在微波放电等离子体发生装置中激发氢等离子体,使用高分辨率的多道光谱分析仪实时采集Hα谱线,对谱线的线型分布进行微分,得出谱线的能量分布,进一步分析氢原子在等离子体中经历的分子过程。结果显示,氢原子的能量分布有3个明显的能量峰,分别在0.3 e V处、2.5 e V处和3 e V处。其中,0.3 e V处的峰比较强,表明在微波放电等离子体条件下,氢原子发生的分子过程主要是离解激发。展开更多
Concrete is considered as an elastic body when subjected to compressive stress butas a brittle body when subjected to tensile stress. That is, after the elastic extremum it cannotcontinue to bear the stress. Based on ...Concrete is considered as an elastic body when subjected to compressive stress butas a brittle body when subjected to tensile stress. That is, after the elastic extremum it cannotcontinue to bear the stress. Based on this.'cracked' physical model, for stochastic extemalwind loads, nonlinear stochastic constitutive equations have been established. To solve equations of nonlinear stochastic vibration, an iterative statistic linearization method (ISLM) hasbeen developedb. Some statistic characteristics were foundd out.展开更多
文摘In this paper we review the recent advances in three sub-areas of iterative learning control (ILC): 1) linear ILC for linear processes, 2) linear ILC for nonlinear processes which are global Lipschitz continuous (GLC), and 3) nonlinear ILC for general nonlinear processes. For linear processes, we focus on several basic configurations of linear ILC. For nonlinear processes with linear ILC, we concentrate on the design and transient analysis which were overlooked and missing for a long period. For general classes of nonlinear processes, we demonstrate nonlinear ILC methods based on Lyapunov theory, which is evolving into a new control paradigm.
文摘This paper studies the robust stochastic stabilization and robust H∞ control for linear time-delay systems with both Markovian jump parameters and unknown norm-bounded parameter uncertainties. This problem can be solved on the basis of stochastic Lyapunov approach and linear matrix inequality (LMI) technique. Sufficient conditions for the existence of stochastic stabilization and robust H∞ state feedback controller are presented in terms of a set of solutions of coupled LMIs. Finally, a numerical example is included to demonstrate the practicability of the proposed methods.
基金Outstanding Youth Science Foundation of P.R.China
文摘This paper investigates the design of robust guaranteed cost observer for a class of lineardescriptor time-delay systems with jumping parameters. The system under study involves time de-lays, jumping parameters and uncertainties. The transition of the jumping parameters in systems isgoverned by a finite-state Markov process. The objective is to design linear memoryless observers suchthat for all uncertainties, the resulting augmented system is regular, impulse free, robust stochasti-cally stable independent of delays and satisfies the proposed guaranteed cost performance. Based onstability theory in stochastic differential equations, a sufficient condition on the existence of robustguaranteed cost observers is derived. Robust guaranteed cost observers are designed in terms of linearmatrix inequalities. A convex optimization problem with LMI constraints is formulated to design thesuboptimal guaranteed cost filters.
基金support of Russian Science Foundation (Project No.23-17-00148)as a part of R&D project (State registry No.121062200075-4).
文摘The article focuses on a theoretical and experimental framework for the quantification of interaction between nonlinear geomechnical and physicochemical processes in high-stress coal-bearing rock mass during mining under high seismic risk due to large-scale blasting and earthquakes,as well as because of structural and temperature effects.The tests were aimed to examine and study comprehensively the piston mechanism of gas exchange and mass transfer processes,revealed recently at the Institute of Mining,SB RAS,as well as to explain the fact that the earthquake-induced low-velocity(quasi-meter range)pendulum waves(velocity to 1 m/s and frequency of 0.5–5 Hz)could stimulate an increase in the gas content in coal mines.In order to perform laboratory investigation at the Institute of Mining SB RAS,special-purpose stand for analyzing gas exchange and mass transfer processes in coal-bearing geomaterials under various thermodynamic conditions(P,V,T)and gas composition was constructed in cooperation with the Institute of Semiconductors Physics SB RAS.Matching of air flow rate with compression pressures allowed to obtain relations showing that air flow rate increases at the uncertain time interval under the increasing of the compression pressure.The same measurements was carried out with another gases such as Hydrogen H_(2),Helium He,methane CH_(4),carbon dioxide CO_(2) and carbon oxide CO.The laboratory tests aimed to detailed investigation of the previously revealed“piston mechanism”of gas exchange and mass transfer processes in the coal specimens and their quantitative description in terms of theory of the pendulum waves were carried in the first time.Consequently,there are some arguments for the testing of the opportunity of quantitative description of the“piston mechanism”related to gas exchange and mass transfer processes in the scale of coal mines.It is relevant when pendulum waves induced by powerful earthquakes and technical blasting reaches the mine.
文摘We present a probabilistic construction of R^(d)-valued non-linear affine processes with jumps.Given a setΘof affine parameters,we define a family of sublinear expectations on the Skorokhod space under which the canonical process X is a(sublinear)Markov process with a non-linear generator.This yields a tractable model for Knightian uncertainty for which the sublinear expectation of a Markovian functional can be calculated via a partial integro-differential equation.
基金supported by National Natural Science Foundation of China(61403254,61374039,61203143)Shanghai Pujiang Program(13PJ1406300)+2 种基金Natural Science Foundation of Shanghai City(13ZR1428500)Innovation Program of Shanghai Municipal Education Commission(14YZ083)Hujiang Foundation of China(C14002,B1402/D1402)
文摘设{εt;t∈Z+}是一严平稳零均值的LPQD随机变量序列,并且0<Eε12<∞,σ2=Eε12+2sum from j=2 to ∞ (Eε1εj),0<σ2<∞,{aj;j∈N}是一实数序列,满足sum from j=0 to ∞ |aj|<∞.定义线性过程Xt=sum from j=0 to ∞ (ajεt-j),t≥1,并令Sn=sum from t=1 to n Xt,Mn=max|Sk|,k≤n n≥1.利用弱收敛定理和矩不等式,对一般的拟权函数和边界函数,证明了{Mn}和{Sn}的精确渐近性.
文摘In this paper, we investigate the complete moment convergence for dependent linear processes with random coefficients to form Xt =∑j^∞=∞ Aj∈t-j,where {∈n, n ∈ Z} is a sequence of END stochastically dominated random variables and {An,n ∈ Z} is a sequence of random varibles. As applications, the convergence rate, Marcinkiewicz-Zvgmund strong law and strong law of large numbers for this linear process are established.
文摘The replacement problem can be modeled as a finite, irreducible, homogeneous Markov Chain. In our proposal, we modeled the problem using a Markov decision process and then, the instance is optimized using linear programming. Our goal is to analyze the sensitivity and robustness of the optimal solution across the perturbation of the optimal basis ?obtained from the simplex algorithm. The perturbation ?can be approximated by a given matrix H?such that . Some algebraic relations between the optimal solution and the perturbed instance are obtained and discussed.
文摘在微波等离子体化学气相沉积(MPCVD)装置中,氢气作为镀膜工艺中重要的参与气体,对镀膜工艺有直接的影响。在微波放电等离子体发生装置中激发氢等离子体,使用高分辨率的多道光谱分析仪实时采集Hα谱线,对谱线的线型分布进行微分,得出谱线的能量分布,进一步分析氢原子在等离子体中经历的分子过程。结果显示,氢原子的能量分布有3个明显的能量峰,分别在0.3 e V处、2.5 e V处和3 e V处。其中,0.3 e V处的峰比较强,表明在微波放电等离子体条件下,氢原子发生的分子过程主要是离解激发。
文摘Concrete is considered as an elastic body when subjected to compressive stress butas a brittle body when subjected to tensile stress. That is, after the elastic extremum it cannotcontinue to bear the stress. Based on this.'cracked' physical model, for stochastic extemalwind loads, nonlinear stochastic constitutive equations have been established. To solve equations of nonlinear stochastic vibration, an iterative statistic linearization method (ISLM) hasbeen developedb. Some statistic characteristics were foundd out.
