An adaptive Smith-controller for time-delay systems with relative degree n2

This paper addresses the control of time-delay systems whose relative degree does not exceed two. An adaptive Smith controller together with an adaptive law similar to the delay-free case is proposed. By using Lyapunov–Krasovskii functionals for an appropriate model transformation of the original system, semiglobal stability of the closed-loop system and asymptotic convergence of the output error is established. Strict positive realness together with the low relative degree of the plant is exploited to establish the stability properties. Robustness properties of the adaptive controller are briefly discussed.     

Robust stability of a special class of polynomial matrices with control applications

The robust stability problem of uncertain continuous-time systems described by higher-order dynamic equations is considered in this paper. Previous results on robust stability of Metzlerian matrices are extended to matrix polynomials, with the coefficient matrices having exactly the same Metzlerian structure. After defining the structured uncertainty for this class of polynomial matrices, we provide an explicit expression for the real stability radius and derive simplified formulae for several special cases. We also report on alternative approaches for investigating robust Hurwitz stability and strong stability of polynomial matrices. Several illustrative examples throughout the paper support the theoretical development. Moreover, an application example is included to demonstrate uncertainty modeling and robust stability analysis used in control design.     

Sliding mode control for two-time scale systems: stability issues

The paper presents some results on global exponential stability of linear time invariant systems with different time scales. The full system is decomposed in two reduced ones by means of singular perturbations and a smooth approximation of a Variable Structure Control is synthesized for each of them using Reaching Law approach. The global closed loop stability is then proved for the whole system using Lyapunov methods and a particular state space decomposition. Moreover a literal form for ε∗ (a parameter which measures the minimum separation between time scales) is derived.     

The periodic optimality of LQ controllers satisfying strong stabilization

An LQ strong stabilization problem is proposed. To determine when a controller with periodic gains is locally superior to a linear time invariant compensator for this problem, a Π test is presented. For systems with strictly proper transfer functions, it is proven that the frequency range where stable periodic controllers based on weak variations about the LTI case can give better performance than stable LTI compensators is finite. In the development, a means to evaluate the second partials of functions with respect to matrix-valued parameters is introduced. For those systems where periodic control is warranted, techniques for designing optimal periodic strongly stabilizing controllers are presented. Two examples detailing the application of the Π test are provided, as well as an optimal periodic controller design example.     

基于LMI的仿射型模糊控制系统的稳定性研究

基于凸优化方法，分析了仿射型模糊控制系统的稳定性与镇定问题。首先以LMI的形式给出了仿射型模糊系统稳定的充分条件；然后基于这一条件讨论了闭环系统的镇定问题。得出的镇定条件是BMI，使用轮换极小法将这一BMI问题转化为2个LMI问题，从而可以用MATLAB中的LMI优化工具箱进行求解。仿真例子说明了所提方法的有效性。     

不确定滞后系统的鲁棒模型预测控制

对于输入受约束的离散不确定滞后系统，提出鲁棒模型预测控制方法，其中不确定性存在于系统的状态矩阵和输入矩阵当中，且满足范数有界条件。用LMI解决滞后系统的不确定性和约束，针对滞后系统给出了新的鲁棒性能指标上界和系统稳定的充分条件，通过求解LMI凸优化得到状态反馈控制律，对提出的方法进行了数字仿真研究，结果表明，基于LMI约束不确定滞后系统的鲁棒模型预测控制易于求解。适于实际应用。     

考虑了动态约束和稳定约束的最优潮流

电力系统最优潮流于1962年由法国学者J．Carpentier最先提出，至今已整整四十年了。在这过去的四十年里，最优潮流算法取得了很大的发展，获得了广泛的应用。在电力市场化的今天，如何满足人们对最优潮流日益增高的要求，是对最优潮流的严峻挑战；本文侧重从动态最优潮流(DOPF)、暂态稳定限制下的最优潮流(TSCOPF)、电压稳定限制下的最优潮流(VSCOPF)等方面介绍了最优潮流的最新发展。并指出了最优潮流今后在电力市场中的发展方向。     

脉振磁场永磁低速同步电动机的稳定性分析

脉振磁场永磁低速同步电动机是一种新结构原理的电机。本文在等幅振荡假设条件下 ,推导出研究该电机动态稳定的数学模型 ,并探讨其稳定性。     

SBS改性沥青储存稳定性

在2种不同的基质沥青中加入聚合物SBS制备改性沥青,通过在140、163和180℃3个温度下的离析试验,考察了加入相同质量分数的SBS后,改性沥青的储存稳定性。对改性沥青的评价发现w(SBS)小于5%时改性沥青的稳定性较好。通过在不同温度下的48h离析试验考察了加入相同剂量的SBS后改性沥青的储存稳定性,发现沥青在低温时的储存稳定性优于高温时的储存稳定性。通过对改性沥青储存稳定性的机理讨论发现,在高温下由于改性沥青内部有较强的分子热运动,导致聚合物的微小颗粒与基质沥青的相容性变差,使SBS聚合物与沥青之间有离析现象发生。     

电力系统稳定监控的快速数据采集

通过对电力系统稳定监控数据要求的分析，依据现有元器件的可实现性，提出了一种能够快速采集电力系统故障及故障前的数据，以保护稳定监控实时性的电路设计方案。