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2010 11th International Workshop on Variable Structure Systems (VSS)最新文献

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Synchronization of an uncertain chaotic system based on sliding mode control 基于滑模控制的不确定混沌系统同步
2010 11th International Workshop on Variable Structure Systems (VSS) Pub Date : 2010-06-26 DOI: 10.1109/VSS.2010.5544530
J. L. Mata, R. Martínez-Guerra, R. Aguilar, Carlos Aguilar
{"title":"Synchronization of an uncertain chaotic system based on sliding mode control","authors":"J. L. Mata, R. Martínez-Guerra, R. Aguilar, Carlos Aguilar","doi":"10.1109/VSS.2010.5544530","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544530","url":null,"abstract":"In this paper we deal with the synchronization and parameter estimations of an uncertain Rikitake system. The strategy consists of proposing a slave system which has to follow asymptotically the unknown Rikitake system, refereed as master system. The gains of the slave system are adjusted continually according to a convenient adaptation control law, until the measurable output errors converge to zero. The convergence analysis is carried out by using Barbalat's Lemma.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127333273","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
Autonomous control synthesis in nonlinear systems 非线性系统的自主控制综合
2010 11th International Workshop on Variable Structure Systems (VSS) Pub Date : 2010-06-26 DOI: 10.1109/VSS.2010.5544654
A. Utkin, S. Krasnova
{"title":"Autonomous control synthesis in nonlinear systems","authors":"A. Utkin, S. Krasnova","doi":"10.1109/VSS.2010.5544654","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544654","url":null,"abstract":"The results of constructive analysis and block design of the problem of autonomous control in the nonlinear dynamic systems were presented using block-canonical form of controllability in output variables. At present Block forms of controllability for nonlinear systems are developed for full state space vector, and based on Pfaff's transformations. In this paper BCFCV for nonlinear systems is developed with respect to output variables and doesn't need difficult Pfaff's transformations. As compared with the well-known results of the control theory, the method of state expansion enabled augmentation of the class of system that are controlled autonomously in the output variables. The state observers on sliding modes were used for the dataware of the basic algorithms. The procedure developed feature multilevel decomposition of the problem of high-dimensionality design into smaller independent subproblems.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114345181","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
High Order Sliding Mode Controller for blood glucose in type 1 diabetes, with relative degree fluctuations 具有相对程度波动的1型糖尿病血糖高阶滑模控制器
2010 11th International Workshop on Variable Structure Systems (VSS) Pub Date : 2010-06-26 DOI: 10.1109/VSS.2010.5544666
Ana Gallardo Hernandez, L. Fridman, A. Levant, Y. Shtessel, S. Islas Andrade, C. Revilla Monsalve
{"title":"High Order Sliding Mode Controller for blood glucose in type 1 diabetes, with relative degree fluctuations","authors":"Ana Gallardo Hernandez, L. Fridman, A. Levant, Y. Shtessel, S. Islas Andrade, C. Revilla Monsalve","doi":"10.1109/VSS.2010.5544666","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544666","url":null,"abstract":"Glucose is regulated by insulin injections in patients with diabetes type 1. High Order Sliding Mode Controllers are well suited to perform a closed loop control due to is a non linear control, robust with respect to parameter uncertainties, and model unaccounted dynamics. These features represents an advance to other works in this field, due to the system is non linear, variable in the time, and the parameter identification is expensive and invasive to the patient. The improving of the model of glucose-insulin regulatory system, considering additional dynamics, increases, arbitrarily, the model order. The theorem that ensures the robustness of HOSMC with respect to unaccounted dynamics is given. This theorem justify the implementation of a controller designed for a reduced model will be able to handle the dynamics of a extended model. In this paper the theorem is illustrated by the design of a third order sliding mode controller, based on BeM, and tested also in SoM that is one of the most complete models and have 24 differential equations and has relative degree five.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122859331","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
Ultimate robustness of homogeneous sliding modes 均匀滑动模态的极限鲁棒性
2010 11th International Workshop on Variable Structure Systems (VSS) Pub Date : 2010-06-26 DOI: 10.1109/VSS.2010.5544702
A. Levant
{"title":"Ultimate robustness of homogeneous sliding modes","authors":"A. Levant","doi":"10.1109/VSS.2010.5544702","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544702","url":null,"abstract":"Most known high-order sliding mode controllers are homogeneous. Homogeneous high-order sliding modes are shown to be robust with respect to the presence of fast stable actuators and sensors, small model disturbances changing the relative degree, measurement noises and control delays. Computer simulation confirms the theoretical results.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"746 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122961608","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
Finite-time convergence analysis for “Twisting” controller via a strict Lyapunov function 用严格Lyapunov函数分析“扭转”控制器的有限时间收敛性
2010 11th International Workshop on Variable Structure Systems (VSS) Pub Date : 2010-06-26 DOI: 10.1109/VSS.2010.5545144
Raul Santiesteban, L. Fridman, J. Moreno
{"title":"Finite-time convergence analysis for “Twisting” controller via a strict Lyapunov function","authors":"Raul Santiesteban, L. Fridman, J. Moreno","doi":"10.1109/VSS.2010.5545144","DOIUrl":"https://doi.org/10.1109/VSS.2010.5545144","url":null,"abstract":"A second order sliding mode controller, the so- called “Twisting” algorithm is under study. A non-smooth strict Lyapunov function is proposed, such that global finite time stability for this algorithm can be proved even in the case when it is affected by bounded external perturbations. The strict Lyapunov function gives the possibility to estimate an upper bound for the time convergence of the trajectories of the system to the equilibrium point. A linear compensator is added to the twisting algorithm so linearly increasing perturbations can be compensated. Indeed, finite time stability and a convergence time estimation for a global finite time convergence algorithm is shown.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123999204","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: 51
The block design of invariant tracking system under incomplete measurements 不完全测量条件下不变跟踪系统的分块设计
2010 11th International Workshop on Variable Structure Systems (VSS) Pub Date : 2010-06-26 DOI: 10.1109/VSS.2010.5544646
V. Utkin, S. Krasnova
{"title":"The block design of invariant tracking system under incomplete measurements","authors":"V. Utkin, S. Krasnova","doi":"10.1109/VSS.2010.5544646","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544646","url":null,"abstract":"The paper deals with tracking problem for linear multiple-input multiple-output systems under unmeasurable smooth external disturbances. The step-by-step transformation procedure of initial system to block-canonical form of controllability and observability of the output (measurable) variables with regard for the external disturbances was developed based on the block approach. This form underlies the decomposition procedures of feedback design enabling one to track the given trajectories along with disturbances rejection.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122032175","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
Adaptive continuous finite reaching time control and second order sliding modes 自适应连续有限到达时间控制和二阶滑模
2010 11th International Workshop on Variable Structure Systems (VSS) Pub Date : 2010-06-26 DOI: 10.1109/VSS.2010.5544721
Y. Shtessel, C. Edwards, S. Spurgeon, J. Kochalummoottil
{"title":"Adaptive continuous finite reaching time control and second order sliding modes","authors":"Y. Shtessel, C. Edwards, S. Spurgeon, J. Kochalummoottil","doi":"10.1109/VSS.2010.5544721","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544721","url":null,"abstract":"In this paper adaptive finite reaching time control is designed for first and second order dynamic systems with perturbation terms given in a regressive form. The adaptive finite reaching time controllers which are proposed do not contain any discontinuities while retaining robustness to bounded disturbances with unknown bounds. Simulation results demonstrate the efficacy of the proposed algorithms.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128038583","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
Sampled output based continuous second order sliding mode observer 基于采样输出的连续二阶滑模观测器
2010 11th International Workshop on Variable Structure Systems (VSS) Pub Date : 2010-06-26 DOI: 10.1109/VSS.2010.5544723
I. Salgado, J. Moreno, I. Chairez
{"title":"Sampled output based continuous second order sliding mode observer","authors":"I. Salgado, J. Moreno, I. Chairez","doi":"10.1109/VSS.2010.5544723","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544723","url":null,"abstract":"Most of state observers implemented in real systems are not able to measure the information continuously. The sliding observers are not an exception. Nevertheless, when state observers are used in numerical applications or even in real systems, one must implement a sampled based observer. In this paper, a second order sliding mode observer based on the supertwisting algorithm is studied, tacking into account that the output only can be measure in specific periods of the time, to do this, a zero order hold is proposed to sampling the output. The continuous observer is analized in terms of Lyapunov stability. It have been proposed a strong Lyapunov function to show finite-time convergence into a boundary layer that depends on the sampled period. The result is applied into a two-link robot manipulator and it is compared the observer efficiency between different sampled periods to show how the result is affected by the sampling interval.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124770301","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: 8
Second-order sliding-mode control of the uncertain heat and wave equations 不确定热波方程的二阶滑模控制
2010 11th International Workshop on Variable Structure Systems (VSS) Pub Date : 2010-06-26 DOI: 10.1109/VSS.2010.5544674
Y. Orlov, A. Pisano, E. Usai
{"title":"Second-order sliding-mode control of the uncertain heat and wave equations","authors":"Y. Orlov, A. Pisano, E. Usai","doi":"10.1109/VSS.2010.5544674","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544674","url":null,"abstract":"In the present paper, preliminary results towards the generalization to the infinite-dimensional setting of some known robust finite-dimensional control algorithms are illustrated. The main focus of the present paper is on the rejection of non-vanishing external disturbances. The generalization to the infinite-dimensional setting of some known finite-dimensional controllers, namely the “Power-fractional” controller [5], and two “Second-order sliding-mode” control algorithms (the “Twisting” and “Super-Twisting” algorithms [10]) is performed to address control problems involving the uncertain wave and heat equations. Constructive proofs of stability are developed via Lyapunov functional technique, which leads to simple tuning rules for the controller parameters. Simulation results are discussed to verify the effectiveness of the proposed schemes.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125734861","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: 13
Output feedback design for exact state stability of flat nonlinear systems 平面非线性系统精确状态稳定性的输出反馈设计
2010 11th International Workshop on Variable Structure Systems (VSS) Pub Date : 2010-06-26 DOI: 10.1109/VSS.2010.5544668
M. T. Angulo, L. Fridman, C. Moog, J. Moreno
{"title":"Output feedback design for exact state stability of flat nonlinear systems","authors":"M. T. Angulo, L. Fridman, C. Moog, J. Moreno","doi":"10.1109/VSS.2010.5544668","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544668","url":null,"abstract":"The notion of strong observability is generalized for nonlinear systems. It allows to write the state of the system as a function of the measurable outputs and their time derivatives only, therefore allowing the construction of an unknown-input observer once such derivatives are estimated. It is shown that the output based control design problem for robust finite-time state stability for nonlinear systems can be solved in two steps: the design of an unknown-input observer and the design of a full state controller computed from a set of new outputs with suitable invertibility properties. The problem of finding those new outputs can be tackled, for instance, for systems that are flat, or equivalently fully linearizable by dynamic feedback.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133515865","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
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