{"title":"Sliding mode control of one-dimensional heat exchange processes","authors":"S. Rao, V. Utkin","doi":"10.1109/VSS.2006.1644483","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644483","url":null,"abstract":"This paper deals with control of contact evaporation heat transfer processes that are common in refrigeration applications. First, an open loop control technique is developed for the system described by the infinite dimensional heat equation. Finally, a feedback control strategy is provided that only utilizes the knowledge of output temperature. Analysis is confined for heat transfer in a single dimension alone","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134516880","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}
{"title":"An optimal switching plane design for the third order system subject to state constraints","authors":"A. Bartoszewicz, A. Nowacka","doi":"10.1109/VSS.2006.1644498","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644498","url":null,"abstract":"In this paper the design of a time-varying switching plane for the sliding mode control of the third order system subject to the velocity and acceleration constraints is considered. Initially the plane passes through the system representative point in the error state space and then it moves with a constant velocity to the origin of the space. Having reached the origin the plane stops and remains motionless. The plane parameters (determining angles of inclination and the velocity of its motion) are selected to ensure the minimum integral absolute error without violating velocity and acceleration constraints. The optimal parameters of the plane for the system subject to the acceleration constraint are derived analytically, and it is strictly proved that when both the system velocity and acceleration are limited, the optimal parameters can be easily found using any standard numerical procedure for solving nonlinear equations. The equation to be solved is derived and the starting points for the numerical procedure are given","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131407130","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}
{"title":"Adaptive Robust Stabilizing Controllers for a Class of Uncertain Switched Linear Systems","authors":"H. Oya, K. Hagino","doi":"10.1109/VSS.2006.1644533","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644533","url":null,"abstract":"This paper discusses a design problem of an adaptive robust stabilizing controller for a class of uncertain switched linear systems. The uncertainties under consideration are supposed to satisfy the matching condition, and switchings among subsystems are determined by using the nominal system. The proposed adaptive robust stabilizing controller consists of the switching rule, the state feedback law with constant gain matrix and the state feedback law with the variable gain matrix tuned by adjustable parameters. In this paper, we show that the switching rule, the feedback gain matrices and the adjustment law of the adjustable parameter","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"127 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121872861","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}
{"title":"Nonsingular Terminal Sliding Mode Control of Uncertain Multivariable Systems","authors":"Yong Feng, Xinghuo Yu, Jianfei Zheng","doi":"10.1109/VSS.2006.1644517","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644517","url":null,"abstract":"This paper proposes a nonsingular terminal sliding mode control for uncertain multivariable systems with parameter uncertainties or disturbances. A hierarchical control structure is utilized for simplifying the controller design. Uncertain multivariable linear systems are converted into the block controllable form consisting of two subsystems, an input-output subsystem and a stable internal dynamic subsystem. In order to guarantee fast convergence and better tracking precision, a nonsingular terminal sliding mode manifold is proposed for the input-output subsystem. To eliminate the chattering phenomenon, a continuous nonsingular terminal sliding mode control law is designed using the second-order sliding mode approach. Under the proposed controllers, the states of the input-output subsystem can be driven to converge to zero asymptotically and the stability of the zero-dynamics of the system is guaranteed. The simulation results are presented to validate the design","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122199777","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}
{"title":"Observer for Linear Time Invariant Systems with Unknown Inputs based on the Hierarchical Super-Twisting Concept","authors":"F. Bejarano, A. Poznyak, L. Fridman","doi":"10.1109/VSS.2006.1644519","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644519","url":null,"abstract":"We use an algorithm, which allows to find the strong observable space, to design a hierarchical observer providing the exact reconstruction of the state components. In order to design the state estimation, we use the super twisting (second order sliding mode) algorithm. The continuity of the super twisting output injection allows to reconstruct in each step a vector formed by a matrix pre-multiplied by the state vector, all this in a finite time. The sequential application of this procedure finally leads to the obtaining of the state vector which can be represented by an auxiliary state vector plus the equivalent super twisting output injection. It is assumed only that the system has no zeros and the unknown inputs are bounded. A numerical example illustrates the efficiency of the suggested technique","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126238073","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}
{"title":"Robust stabilization of linear unstable plants with saturating actuators using a time varying sliding surface: preliminary results","authors":"M. Corradini, G. Orlando, G. Parlangeli","doi":"10.1109/VSS.2006.1644540","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644540","url":null,"abstract":"This paper proposes the use of a time-varying sliding surface for the robust stabilization of linear uncertain SISO plants with saturating actuators. A constructive procedure for its design is also proposed, and stability of the closed loop system is proved in the null controllable region. The proposed technique does not require plant stability, and can manage any bounded disturbance term satisfying the matching condition. Theoretical results have been validated by simulation using a third order plant","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122751325","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}
{"title":"Higher order sliding mode control for blood glucose regulation","authors":"P. Kaveh, Y. Shtessel","doi":"10.1109/VSS.2006.1644485","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644485","url":null,"abstract":"Diabetes is discussed as a serious condition in which the body's production and use of insulin is impaired, causing glucose concentration level to increase in the bloodstream. In this paper, higher order sliding mode control technique, in specific super-twisting algorithm, is used to robustly stabilize the glucose concentration level of a diabetic patient in presence of the parameter variations and meal disturbance. The super-twisting algorithm is employed to attenuate the effect of chattering and obtain continuous control. The structure of the proposed sliding mode controller is appropriate for making the insulin delivery pumps in closed loop control of diabetes. A computer simulation is performed to manifest the theoretical analysis. The efficiency of the proposed controller i.e. robustness and high accuracy, in presence of physical disturbances like food intake is verified via simulations","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"PC-28 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132393915","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}
{"title":"Finite-time control of a class of MIMO nonlinear systems using high order integral sliding mode control","authors":"M. Defoort, T. Floquet, A. Kokosy, W. Perruquetti","doi":"10.1109/VSS.2006.1644506","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644506","url":null,"abstract":"A novel higher-order sliding mode control algorithm is presented for a class of MIMO uncertain nonlinear systems. This problem can be viewed as the finite-time stabilization of an rth - order input-output dynamical system with bounded uncertainties. The developed control strategy gives a control based on geometric homogeneity with an additional integral sliding mode term. The additional sliding mode controller part completely dismisses the influence of uncertainties from the initial time instant. The algorithm has been applied for a robust control of a hovercraft vessel model. The simulation results show robustness to parameter variations and uncertainties in the dynamics","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115427781","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}
{"title":"Output Tracking via Sliding Modes in Causal Systems with Time Delay Modeled by Higher Order Pade Approximations","authors":"E.A. Kosiba, Gang Liu, Y. Shtessel, A. Zinober","doi":"10.1109/VSS.2006.1644526","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644526","url":null,"abstract":"Output tracking in a SISO causal uncertain nonlinear system with an output subject to a time delay is considered using sliding mode control. A higher order Pade approximation to a delay function with a known time delay is used to construct a model of a transformed system without a time delayed output and is employed in a feedback sliding mode control. This model functions as a predictor of the plant states and the plant output, but is of nonminimum phase due to the application of the Pade approximation. The method of the stable system center is used to stabilize the internal dynamics of this plant model, and a control is developed using a sliding surface to allow the plant to track an arbitrary reference profile given by an exogenous system with a known characteristic equation. Simulations of the system are performed for the plant model using a first, second and third order Pade approximations and a controller in plant feedback mode. Numerical examples for Pade approximations of increasing order are considered and compared","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125102352","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}
{"title":"Integral Nested Sliding Mode Control: Application to the Induction Motor","authors":"J. Rivera, A. Loukianov","doi":"10.1109/VSS.2006.1644502","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644502","url":null,"abstract":"In this work we design an integral nested sliding mode control for a certain class of nonlinear systems with unknown matched and unmatched perturbations. It is well known that sliding modes is robust against matched perturbations. In order to introduce robustness, we make use of a novel nested sliding mode procedure, that in combination with integral sliding mode-technique will reduce the sliding function gains. Then, the controller here designed is applied to the induction motor, where the nominal parameters are known, the load torque is an unknown perturbation term with known upper bound, the stator and rotor resistances are varying, where its respective upper bounds are known","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127342115","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}