Stability analysis for a class of switched systems with state constraints via time-varying Lyapunov functions     

《Journal of The Franklin Institute》2022,359(16):8933-8949

This article investigates the stability analysis for a class of continuous-time switched systems with state constraints under pre-specified dwell time switchings. The state variables of the studied system are constrained to a unit closed hypercube. Firstly, based on the definition of set coverage, the system state under saturation is confined to a convex polyhedron and the saturation problem is converted into convex hull. Then, sufficient conditions are derived by introducing a class of multiple time-varying Lyapunov functions in the framework of pre-specified dwell time switchings. Such a dwell time is an arbitrary pre-specified constant which is independent of any other parameters. In addition, the proposed Lyapunov functions can efficiently eliminate the “jump” phenomena of adjacent Lyapunov functions at switching instants. The feature of this paper is that the definition of set coverage is utilized to replace the restriction on the row diagonally dominant matrices with negative diagonal elements to analyze stability. The other feature of the constructed time-varying Lyapunov functions is that there are two time-varying functions. One of the two time-varying functions contains the jump rate, which will present a certain degree of freedom in designing the dwell time switching signal. An iterative linear matrix inequality (LMI) algorithm is presented to verify the sufficient conditions. Finally, two examples are presented to show the validity of the method.  相似文献   

Leader-following consensus considering effects of agents on each other via impulsive control: A topology dependent average dwell time approach     

《Journal of The Franklin Institute》2022,359(16):8639-8668

This paper intends to investigate the consensus problem of a nonlinear multi-agent system with new nonlinear terms added to the dynamics of each agent in the leader-following framework with impulsive control. The main contribution of this paper is introducing these new terms expressing the effect of each agent on neighbor agents. The new terms called effect terms (ETs) are considered with time-varying delay. Moreover, the communication interactions among all agents are addressed by a set of consensusable and unconsensusable switching topologies. In particular, the topology-dependent average dwell time (TDADT), one of the significant practical analysis methods for switched systems, has been calculated for each topology. The globally uniformly exponentially stability (GUES) for the consensus error dynamics is analyzed by employing algebraic graph theory and a multiple discontinuous Lyapunov function approach (MDLF) regarding separate Lyapunov functions for impulse instants. Furthermore, sufficient conditions in terms of linear matrix inequalities (LMIs) are derived to ensure that consensus can be achieved. Finally, the effectiveness of the theoretical analysis is corroborated by a numerical example.  相似文献   

A predictive fault tolerant control method for qLPV systems subject to input faults and constraints     

《Journal of The Franklin Institute》2022,359(16):9129-9167

In this paper, we investigate the use of Model Predictive Control (MPC) applications for quasi-Linear Parameter Varying (qLPV) systems subject to faults along the input channels. We propose a Fault Tolerant Control (FTC) mechanism based on a robust state-feedback MPC synthesis, considering polytopic inclusions. In order to alleviate the numerical burden of the robust min-max procedure, we use small prediction horizons, in such a way that the solution becomes viable for real-time systems. The FTC system is able to tolerate time-varying saturation of the actuator, which may happen due to malfunctions. Recursive feasibility and poly-quadratic stability guarantees are ensured through the synthesis of adequate terminal ingredients. Accordingly, we present a catalogue of three different LMI remedies, considering: (a) parameter-independent ingredients, (b) a parameter-dependent terms and (c) a parameter-dependent maps that take into account bounded rates of parameter variation. An autonomous driving car example is used to illustrate the performances of the proposed technique, which is compared to other MPCs from the literature. The proposed FTC method is able to ensure good performances, obtained with reduced computational demand.  相似文献   

Fixed-time consensus for stochastic multi-agent systems with discontinuous dynamics via quantized control     

《Journal of The Franklin Institute》2022,359(16):8598-8620

In this study, the fixed-time consensus (FDTC) for stochastic multi-agent systems (MASs) with discontinuous inherent dynamics is investigated via quantized control. Firstly, an improved lemma for fixed-time (FDT) stability is derived and several more precise estimations for settling time (SLT) are gained by using certain special functions. Secondly, a more general MAS containing discontinuous inherent dynamics and stochastic perturbations is considered, which is closer to practical life. Thirdly, to overcome the limitation of communication, two kinds of quantized control protocols are designed. Besides, in the light of the graph theory, non-smooth analysis, fixed-time (FDT) stability and stochastic analysis theory, some sufficient conditions are put forward to achieve FDTC of MASs. Finally, the validity of the derived theoretical results is testified by two numerical examples.  相似文献   

Finite-time guaranteed cost control for uncertain delayed switched nonlinear stochastic systems     

《Journal of The Franklin Institute》2022,359(16):8802-8818

This paper studies the finite-time guaranteed cost control problem for switched nonlinear stochastic systems with parameter uncertainties and time-varying delays. By choosing a model-dependent and delay-dependent Lyapunov-Krasovskii functional, applying the average dwell time approach and the Gronwall inequality, some novel sufficient conditions are derived to ensure that the switched nonlinear stochastic closed-loop system is finite-time stochastically stable and an upper bound is given on the performance index. The obtained nonlinear matrix is transformed into a linear matrix form, and then the feedback controller gains of the switched nonlinear stochastic systems with time-varying delay are obtained. Finally, two simulation examples are designed to verify the effectiveness of the suggested approach.  相似文献   

“十二五“时期我国体育场地设施建设布局研究     

张玉超 《南京体育学院学报(社会科学版)》2014,(2):53-58

国家发改委、国家体育总局于2012年7月共同编制了《"十二五"公共体育设施建设规划》,为了更好地建设我国体育场地设施,采用文献资料和逻辑分析法分析了"十一五"期间我国体育场地设施建设布局现状与存在问题,分析了"十二五"期间我国体育场地建设规划、与布局等问题。提出合理规划我国体育场地设施建设的类型、档次与布局,采取多种方法提高体育场地建设的综合效益等对策。  相似文献   

中西体育比较视角下大学体育教育发展趋势研究     

周鹏 《广州体育学院学报》2014,(2):109-112

大学体育教育是体育文化传承与发展的一种重要形式,也是不断推进体育教育事业可持续发展的有效途径。大学体育教育的发展趋势能够对当前大学体育教育的发展起到一定的导向作用,是立足于未来发展、可持续发展的重要方式,具有十分广泛而又深刻的实践意义。基于中西体育比较的视角,以文明基础不同、适应人群不同、道德取向不同、精神取向不同四个维度分析中西体育的差异性,并研究中西体育的趋同性,最终探索出我国大学体育教育人文性、终身化、文化本位的发展趋势。  相似文献   

基于动态分析技术的手球比赛表现指标模型研究     

赵刚  部义峰  崔家宝 《河北体育学院学报》2014,28(6):41-47

运用录像分析法和数理统计法对2010年亚运会7场84人次的手球比赛表现进行研究分析。将比赛中技术变量视为应用环境、类别及效果的动态过程,在此基础上建立手球比赛表现指标评价体系与比赛表现结构模型,以揭示手球比赛表现指标构成及指标间的相互关系。研究结果表明:手球比赛表现评价体系由对方获得球权、接控球、传球、运球、射门、个人防守、配合防守等7项一级指标,抢断球、任意球、接控球、控制性传球、组织性传球、助攻性传球、运球、技术失误、技术成功没得分、得分、延缓进攻、限制传运、封堵、协防等14项二级指标构成;将比赛技术与应用的环境以及效果联结在一起,将技术表现视为一个动态程序进行分析与评价,评价更具客观性;获得球对处理球、处理球对进攻完成、处理球对防守有较高的影响关系。获得球对进攻、防守对进攻完成影响较小。获得球对进攻完成没有直接影响;处理球各项指标中助攻性传球、运球对处理球有较大的影响。进攻完成各指标中得分有重要的影响,防守指标中协防有重要的影响。  相似文献   

导致古代中西方体育差异性因素分析     

崔怀猛 《搏击·武术科学》2014,(1):110-112

有着相似起源的古代中西方体育,在历史演变的过程中形成两种截然不同的体育形态。研究表明,造成两者差异性的主要因素在于中西方社会对体育本质的认识不同,对休战的态度不同,以及体育对培养人的作用方面产生不同理解,最终导致两种不同特征的体育文化在各自的空间平行发展。  相似文献   

试论研究性学习评价的价值取向     

张欣 《徐州教育学院学报》2005,20(4):56-59

研究性学习的提出与实施，适应了21世纪对于人的全面发展的要求。而研究性学习评价的价值取向则要定位于学生人格的和谐发展、多元化发展，关注学习过程的体验和学生人文精神的张扬，使学生具有自我发展的能力，实现评价主体与客体的统一。  相似文献