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On necessary and sufficient conditions for incremental stability of hybrid systems using the graphical distance between solutions 用解间图形距离论混合系统增量稳定性的充分必要条件
2015 54th IEEE Conference on Decision and Control (CDC) Pub Date : 2015-12-01 DOI: 10.1109/CDC.2015.7403093
Yuchun Li, R. Sanfelice
{"title":"On necessary and sufficient conditions for incremental stability of hybrid systems using the graphical distance between solutions","authors":"Yuchun Li, R. Sanfelice","doi":"10.1109/CDC.2015.7403093","DOIUrl":"https://doi.org/10.1109/CDC.2015.7403093","url":null,"abstract":"This paper introduces new incremental stability notions for a class of hybrid dynamical systems given in terms of differential equations and difference equations with state constraints. Incremental stability is defined as the property that the distance between every pair of solutions to the system has stable behavior (incremental stability) and approaches zero asymptotically (incremental attractivity) in terms of graphical convergence. Basic properties of the class of graphically incrementally stable systems are considered as well as those implied by the new notions are revealed. Moreover, several sufficient and necessary conditions for a hybrid system with such a property are established. Examples are presented throughout the paper to illustrate the notions and results.","PeriodicalId":308101,"journal":{"name":"2015 54th IEEE Conference on Decision and Control (CDC)","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116732149","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 11
Output consensus design for heterogeneous nonlinear multi-agent systems with application to smart grids 异构非线性多智能体系统的输出一致性设计及其在智能电网中的应用
2015 54th IEEE Conference on Decision and Control (CDC) Pub Date : 2015-12-01 DOI: 10.1109/CDC.2015.7402781
D. H. Nguyen, T. Narikiyo, M. Kawanishi
{"title":"Output consensus design for heterogeneous nonlinear multi-agent systems with application to smart grids","authors":"D. H. Nguyen, T. Narikiyo, M. Kawanishi","doi":"10.1109/CDC.2015.7402781","DOIUrl":"https://doi.org/10.1109/CDC.2015.7402781","url":null,"abstract":"This paper presents a systematic design approach for output consensus in a class of heterogeneous uncertain nonlinear multi-agent systems (MASs). By employing a feedback linearization technique, the output consensus problem of heterogeneous nonlinear MASs can be recast as a state consensus problem for homogeneous linear MASs. Consequently, a sub-optimal consensus design for linear MASs is presented to provide a constructive method for solving the initial output consensus problem in heterogeneous nonlinear MASs. Finally, the proposed approach is verified through a secondary voltage control problem in smart grids revealing its effectiveness.","PeriodicalId":308101,"journal":{"name":"2015 54th IEEE Conference on Decision and Control (CDC)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129506486","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
A new model-based fractional order differentiator with application to fractional order PID controllers 一种新的基于模型的分数阶微分器及其在分数阶PID控制器中的应用
2015 54th IEEE Conference on Decision and Control (CDC) Pub Date : 2015-12-01 DOI: 10.1109/CDC.2015.7402796
Xing Wei, Dayan Liu, D. Boutat
{"title":"A new model-based fractional order differentiator with application to fractional order PID controllers","authors":"Xing Wei, Dayan Liu, D. Boutat","doi":"10.1109/CDC.2015.7402796","DOIUrl":"https://doi.org/10.1109/CDC.2015.7402796","url":null,"abstract":"This paper aims at designing a fractional order differentiator based on a integer order linear system with zero initial conditions, where the fractional derivatives of the output are estimated using the output observation corrupted by a non zero-mean noise. Firstly, an integral algebraic formula for the fractional derivatives of the output is exactly obtained in continuous noise free case, using an appropriated modulating function. Unlike the improper integrals in the definitions of the fractional derivatives, the obtained formula is given by a proper integral. Then, an additional condition is added to the used modulating function in order to deal with the non zero-mean noise. After constructing the needed modulating function, a digital fractional order differentiator is proposed in discrete noisy case with some error analysis. Finally, the proposed fractional order differentiator is applied to design a fractional order PID controller for an integer order linear system.","PeriodicalId":308101,"journal":{"name":"2015 54th IEEE Conference on Decision and Control (CDC)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129511453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Descriptor systems state-space conditions to guarantee negative imaginary properties without minimality restrictions 广义系统的状态空间条件，保证负虚性质没有最小限制
2015 54th IEEE Conference on Decision and Control (CDC) Pub Date : 2015-12-01 DOI: 10.1109/CDC.2015.7402625
J. Xiong, A. Lanzon, I. Petersen
{"title":"Descriptor systems state-space conditions to guarantee negative imaginary properties without minimality restrictions","authors":"J. Xiong, A. Lanzon, I. Petersen","doi":"10.1109/CDC.2015.7402625","DOIUrl":"https://doi.org/10.1109/CDC.2015.7402625","url":null,"abstract":"This paper is concerned with negative imaginary lemmas for descriptor systems. Without the minimal state-space realization assumption, sufficient conditions are developed for a negative imaginary lemma and a strictly negative imaginary lemma, respectively. As corollaries, sufficient conditions are derived to ensure the systems are both admissible and negative imaginary. Also, new sufficient negative imaginary lemmas are found for standard linear systems as special cases. The developed negative imaginary lemmas are applicable to descriptor systems with impulse modes. Two examples are used to illustrate the theory.","PeriodicalId":308101,"journal":{"name":"2015 54th IEEE Conference on Decision and Control (CDC)","volume":"2543 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128748474","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Individual and systemic risk trade-offs induced by diversification barriers 多样化壁垒导致的个人和系统风险权衡
2015 54th IEEE Conference on Decision and Control (CDC) Pub Date : 2015-12-01 DOI: 10.1109/CDC.2015.7402283
Georgia-Evangelia Katsargyri, Mardavij Roozbehani, M. Dahleh
{"title":"Individual and systemic risk trade-offs induced by diversification barriers","authors":"Georgia-Evangelia Katsargyri, Mardavij Roozbehani, M. Dahleh","doi":"10.1109/CDC.2015.7402283","DOIUrl":"https://doi.org/10.1109/CDC.2015.7402283","url":null,"abstract":"Investment diversification is believed to have potential adverse effects on systemic risk. This paper examines the performance of systemic risk with respect to two factors: the available diversification choices and the investor's ability to utilize them. Building on an existing stylized financial system model, we enrich it by partitioning the assets and the investors according to their accessibility level and their ability to expand into the available diversification choices respectively. We show the existence of a trade-off between individual diversification and systemic risk caused by the two factors and we provide analytical characterization of phase transition thresholds for these factors. These thresholds determine under what conditions diversification activity may amplify systemic risk.","PeriodicalId":308101,"journal":{"name":"2015 54th IEEE Conference on Decision and Control (CDC)","volume":"197 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128573736","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Input-dependent incremental stability criterion for piece-wise linear analogs of van der Pol systems van der Pol系统分段线性类似物的输入依赖增量稳定性判据
2015 54th IEEE Conference on Decision and Control (CDC) Pub Date : 2015-12-01 DOI: 10.1109/CDC.2015.7403091
A. Pogromsky, A. Matveev
{"title":"Input-dependent incremental stability criterion for piece-wise linear analogs of van der Pol systems","authors":"A. Pogromsky, A. Matveev","doi":"10.1109/CDC.2015.7403091","DOIUrl":"https://doi.org/10.1109/CDC.2015.7403091","url":null,"abstract":"The paper proposes and advocates a novel technique of Lyapunov analysis that is based on the concept of averaging functions and Steklov's averaging method. This approach relaxes quadratic criteria for incremental stability of nonlinear systems. The stability criteria rest on time-dependent quadratic or non-quadratic Lyapunov functions and offer better account for the role of the external excitation by providing input-dependent conditions. In particular, the proposed method works even if the system fails to satisfy the incremental version of the circle criterion and, for example, proves frequency entrainment for a piece-wise linear analog of the van der Pol oscillator whenever the input has sufficiently large amplitude.","PeriodicalId":308101,"journal":{"name":"2015 54th IEEE Conference on Decision and Control (CDC)","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128629904","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Integrated design of robust fault estimation and fault-tolerant control for linear systems 线性系统鲁棒故障估计与容错控制的集成设计
2015 54th IEEE Conference on Decision and Control (CDC) Pub Date : 2015-12-01 DOI: 10.1109/CDC.2015.7403018
Jianglin Lan, R. Patton
{"title":"Integrated design of robust fault estimation and fault-tolerant control for linear systems","authors":"Jianglin Lan, R. Patton","doi":"10.1109/CDC.2015.7403018","DOIUrl":"https://doi.org/10.1109/CDC.2015.7403018","url":null,"abstract":"In the fault tolerant control (FTC) problem based on fault compensation a bi-directional uncertainty coupling exists between the controller and the joint state/fault estimation. This coupling arises from (a) the model mismatch between the system dynamics and the observer model as well as (b) the uncertainty arising from imperfect fault estimation. Hence, this paper deals with an approach to integrate together the designs of the observer and controller for a linear system subject to bounded actuator and sensor faults as well as disturbance. The fault estimation is achieved by using an augmented state form of an unknown input observer (UIO) which relaxes the well-known UIO rank restriction in terms the system coefficient matrices. The integrated design problem with fault compensation is an observer-based robust control system solved via H∞ optimization using single-step LMI formulation. The closed-loop system time response is improved using LMI regional pole placement. The FTC performance is illustrated using an example with both sensor and actuator faults as well as disturbance and uncertainty.","PeriodicalId":308101,"journal":{"name":"2015 54th IEEE Conference on Decision and Control (CDC)","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128648879","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Regional pole placement of a Markovian jump model for wind turbine generator system 风力发电机组系统马尔可夫跳变模型的区域极点配置
2015 54th IEEE Conference on Decision and Control (CDC) Pub Date : 2015-12-01 DOI: 10.1109/CDC.2015.7403010
Zhongwei Lin, Ji-zhen Liu, Yuguang Niu
{"title":"Regional pole placement of a Markovian jump model for wind turbine generator system","authors":"Zhongwei Lin, Ji-zhen Liu, Yuguang Niu","doi":"10.1109/CDC.2015.7403010","DOIUrl":"https://doi.org/10.1109/CDC.2015.7403010","url":null,"abstract":"This paper discusses the regional pole placement problem for Markovian jump system, and the corresponding application on wind turbine generator system (WTGS). Through sampling the low-frequency wind speed datas into separate intervals, the dynamic process of WTGS can be modelled into Markovian jump system. The traditional operating points of wind turbine are divided into separate subregions correspondingly, where the model parameters and the control mode can be fixed in each mode. However, the control designed for each operating subregion can not guarantee the whole dynamic response performance of WTGS, which is caused by the stochastic switchings between different system modes. Hence, the pole placement problem is discussed for linear Markovian jump systems, and applied on improving the dynamics response of WTGS.","PeriodicalId":308101,"journal":{"name":"2015 54th IEEE Conference on Decision and Control (CDC)","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129326919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Design and operation of fast model predictive controller for stabilization of magnetohydrodynamic modes in a fusion device 用于稳定核聚变装置磁流体动力模式的快速模型预测控制器的设计与运行
2015 54th IEEE Conference on Decision and Control (CDC) Pub Date : 2015-12-01 DOI: 10.1109/CDC.2015.7403379
A. Setiadi, P. Brunsell, L. Frassinetti
{"title":"Design and operation of fast model predictive controller for stabilization of magnetohydrodynamic modes in a fusion device","authors":"A. Setiadi, P. Brunsell, L. Frassinetti","doi":"10.1109/CDC.2015.7403379","DOIUrl":"https://doi.org/10.1109/CDC.2015.7403379","url":null,"abstract":"Magnetic confinement fusion (MCF) devices suffer from magnetohydrodynamic (MHD) instabilities. A particular unstable mode, known as the resistive wall mode (RWM), is treated in this work. The RWM perturbs the plasma globally and can degrade the confinement or even terminate the plasma if not stabilized. This paper presents a control design approach to stabilize the RWM in the reversed-field pinch (RFP). The approach consists of: closed-loop system identification of the RFP, design of a fast model predictive controller and experimental validation of the controller. Experimental results shows that the proposed controller manages to stabilize the RWM in plasma.","PeriodicalId":308101,"journal":{"name":"2015 54th IEEE Conference on Decision and Control (CDC)","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124571983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Global cooperative output regulation for nonlinear multi-agent systems with unknown control directions 控制方向未知的非线性多智能体系统全局协同输出调节
2015 54th IEEE Conference on Decision and Control (CDC) Pub Date : 2015-12-01 DOI: 10.1109/CDC.2015.7403436
Meichen Guo, Lu Liu, Dabo Xu, G. Feng
{"title":"Global cooperative output regulation for nonlinear multi-agent systems with unknown control directions","authors":"Meichen Guo, Lu Liu, Dabo Xu, G. Feng","doi":"10.1109/CDC.2015.7403436","DOIUrl":"https://doi.org/10.1109/CDC.2015.7403436","url":null,"abstract":"This paper proposes a novel two-layer distributed control scheme for global cooperative output regulation for a class of nonlinear multi-agent systems. The concerned systems are (i) heterogeneous and uncertain, (ii) with unknown local control directions, and (iii) under a directed communication graph. To cope with the problem, a two-layer control structure is first configured and distributed and decentralized laws are developed for the layers respectively. Then we demonstrate that combination of the control laws may lead to an effective solution to the cooperative output regulation problem. Finally, an illustrative example is given to show the effectiveness of the proposed control algorithm.","PeriodicalId":308101,"journal":{"name":"2015 54th IEEE Conference on Decision and Control (CDC)","volume":"120 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124757935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
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