二重马氏平稳过程泛函的一些概率性质

用{x(t),t∈R_1}来表示由随机积分integral from n=-∞ to t (t-r)exp{r-t}dW(r)所确定的二重马氏平稳过程,这里{W(t),t∈R_1)是规范化的广义Wiener过程,设f为有界Borel可测函数,若令Y(t)=f(X(t)),则得二重马氏平稳过程{X(t)}的泛函Y(t)。在本文中,作者首先粗略地研讨了关于二重马氏平稳过程{X(t)}的一些统计特性,然后,较深入地研讨了关于随机泛函Y(t)的一些概率性质,最后又研讨了关于随机泛函Y(t)的均方预测问题,并对几类泛函给出了均方预测量及其均方误差的分析表达式。     

基于两级Smith预估补偿的加热炉温度串级控制

对于具有纯滞后的温度串级控制系统,提出了主副回路基于两级Smith预估补偿的串级控制结构;通过内模-PID整定方法设计了两级Smith预估装置进行补偿控制,仿真证明了方法的有效性。仿真结果表明,该方法能够有效消除纯滞后环节的影响,得到良好的系统鲁棒性和动态控制性能,解决了汽油加氢反应进料加热炉温度串级控制系统中加热炉出口温度的时变性及滞后性等控制难点。     

An LMI approach to design extended predictor feedback controllers for dynamical systems with input delay

The stabilisation of dynamical systems with input delay by an extended predictor feedback controller is investigated. After considering a more general case of the predictor feedback controllers, the design procedure is transformed into the stabilisation problem of the system controlled by a dynamic output feedback controller. By proposing appropriate Lyapunov-Krasovskii functionals, the predictor feedback gains are then synthesised from the stability conditions which are obtained in form of linear matrix inequalities. Such design approach is more flexible and extendable in comparison to one used by the conventional predictor feedback control. As a simulation example, the designed extended predictor feedback controller is applied on an active suspension system and is used to stabilise an unstable system with input delays. The obtained results demonstrate the effectiveness of the design method.     

Adaptation in truncated predictor feedback to overcome uncertainty in the delay

It is well known in the literature that delay‐adaptive control schemes for general linear systems with input delay, induced from predictor feedback, typically incorporate distributed terms in both the control law and the update law for the delay estimator, leading to the infinite‐dimension characteristic of the schemes. Furthermore, when the full actuator state is not employed, only local regulation has been achieved in the sense that the initial state has to be sufficiently small and, at the same time, the initial guess of the delay has to be sufficiently close to its actual value. In this paper, by restricting our attention to systems without exponentially unstable poles, we avoid implementational issues arising from typical infinite‐dimensional control schemes by developing a finite‐dimensional scheme inspired by the truncated predictor feedback (TPF) design technique. Our scheme achieves global regulation as long as a sufficiently small neighborhood of the actual delay is identified. An adaptation‐free version of the robust TPF, which is inferred from the delay‐adaptive control scheme, is also included to reveal a second level of robustness to the uncertainty in the value of the delay that appears in the state transition matrix of the TPF.     

Robust tuning of PFC (Predictive Functional Control) based on first- and aperiodic second-order plus time delay models

Robust tuning is presented for PFC (Predictive Functional Controller) for stable non-integrative processes modelled as FOPDT and aperiodic SOPDT (First- and Second-Order Plus Dead Time) models, assuming stepwise changes in the reference or disturbance signal. The robustness is improved by using a first-order filter. The filter time constant is designed in the knowledge of the uncertainty of the model parameters (static gain, time constants and time delay). Both simulation results and the control of a laboratory pilot plant are presented.     

A corrector–predictor path-following method for second-order cone optimization

In this paper, we present a corrector–predictor path-following interior-point method for second-order cone optimization (SOCO) based on a new proximity measure. The algorithm produces a sequence of iterates in a neighbourhood of the central path based on a new proximity measure. We show that the algorithm is well-defined and derive the complexity bound for the algorithm. We obtain the best-known result for SOCO. The numerical results show that the proposed algorithm is effective.     

Observer‐predictor feedback for consensus of discrete‐time multiagent systems with both state and input delays

This article is concerned with the consensus problem for discrete‐time multiagent systems with both state and input delays. Single observer‐predictor‐based protocols and multiple observer‐predictors feedback protocols are simultaneously established to predict the future state such that the input delay that can be arbitrarily large yet bounded is completely compensated. It is shown that the consensus of the multiagent system can be achieved by the single/multiple observer‐predictors feedback protocol. Moreover, sufficient conditions guaranteeing the consensus of the multiagent system are provided in terms of the stability of some simple observer‐error systems, and the separation principle is discovered. Finally, a numerical example is worked out to illustrate the effectiveness of the proposed approaches.     

Bounded consensus for multiagent systems by event‐triggered data transmission,time delay,and predictor‐based control

This paper investigates the consensus issue of multiagent systems with data transmission time delay. The state measurement of each local agent is directly sent to a private event‐trigger and further authorized to be broadcasted to its neighbors via communication network only when the threshold of the event‐trigger is violated. Since the controller always receives discrete‐time neighbor information with data transmission time delay, a predictor is employed to estimate the continuous‐time neighbor state. Based on the estimated state, a novel consensus protocol is mainly proposed for achieving the bounded consensus of the multiagent systems. By the proposed method, the asynchronous neighbor information is allowed and the margin of data transmission time delay is also given. Furthermore, it has been proved that the unwanted Zeno phenomena can be naturally excluded. Numerical example is provided to demonstrate the effectiveness of the proposed method.