D. Mitic, C. Milosavljevic, B. Perunicic-Drazenovic, B. Veselić
{"title":"Digital sliding mode control design based on I/O models of nonlinear plants","authors":"D. Mitic, C. Milosavljevic, B. Perunicic-Drazenovic, B. Veselić","doi":"10.1109/VSS.2006.1644493","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644493","url":null,"abstract":"The paper deals with the design of digital sliding mode controllers using only input and output sequences of plant. Two approaches are considered. The first one is based on the sliding mode based generalized minimum variance control implemented on the linearized plant model, whereas the second one utilizes the similar idea from the previous method modified for and applied on the discrete-time nonlinear model of the plant. The proposed algorithms are presented and tested by digital simulation on an example of inverted pendulum control","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":"125859513","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":"Variable Structure Control with Sliding Sector for Hybrid Systems","authors":"Y. Pan, K. Furuta","doi":"10.1109/VSS.2006.1644532","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644532","url":null,"abstract":"This paper proposes a variable structure (VS) controller with sliding sector for hybrid systems where subsystems do not need to be stable and may be unknown. The controller is designed to switch among subsystems to stabilize the hybrid system by a variable structure switching law. The concept of the sliding sector is used in the paper to show that there exists an area, inside which a Lyapunov function decreases, for any system no matter whether it is stable or unstable. A Lyapunov function is designed by assuming that a stable convex combination of the subsystems exists. Then the VS controller is designed such that the Lyapunov function decreases in every period for the hybrid system to be switched once through all subsystems. The extremum seeking control algorithm is used to determined the switching rule such that the Lyapunov function track a pre-determined decrease signal. The proposed VS system is quadratically stable. Simulation results are given to show the convergence of the proposed VS control system","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"54 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":"126767796","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":"Frequency-domain Design of Compensating Filters for Sliding Mode Control Systems","authors":"I. Boiko","doi":"10.1109/VSS.2006.1644538","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644538","url":null,"abstract":"It is known that a sliding mode (SM) control system perturbed by parasitic dynamics exhibits the \"real\" SM. The real SM features finite frequency switching (chattering) and the averaged motions being different from those in the reduced-order model. Yet, chattering and the averaged motion - being two components of the motion in the SM system - belong to two different frequency ranges (spectra). As a result, some kind of frequency characteristic shape compensation aimed at achieving the desired frequency of chattering and enhancing the dynamics of the averaged motions becomes possible. This research is the subject of the present paper","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"24 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":"127799110","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":"Exact Periodic Solution for Control System Containing Static Nonlinear Function","authors":"I. Boiko","doi":"10.1109/VSS.2006.1644509","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644509","url":null,"abstract":"A solution of the periodic problem in a nonlinear system comprising a single-valued symmetric nonlinearity and linear dynamics is presented. The solution is designed as an iterative algorithm of refinement of the approximate solution obtained via application of the describing function (DF) method. The algorithm is based upon the transformation of the original nonlinear system into an equivalent nonlinear system and the concept of the periodic signal mapping applied to the latter. The solution is sought for as a fixed point of the periodic signal mapping. It is shown that the DF method can be viewed as a method of approximate calculation of the periodic signal mapping. It is proved via the exact approach that for the considered type of nonlinear systems, the necessary conditions of sliding mode existence, previously obtained via the DF method, are valid. The proposed approach is illustrated by examples of analysis of periodic motions in nonlinear systems","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"5 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":"133881831","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":"Stochastic Sliding Modes Identification","authors":"A. Poznyak, J. Escobar, Y. Shtessel","doi":"10.1109/VSS.2006.1644522","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644522","url":null,"abstract":"Time varying parameters identification of stochastic systems is addressed via sliding mode parameter observers. Sliding mode observer is governed by control that compensates a so-called Ito's term, which reflects a stochastic nature of a system. The matrix estimation algorithm based on equivalent control are proposed. A numerical example illustrates the effectiveness of the proposed approach","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"38 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":"132542538","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":"Stretchable and Conventional Input Constraints in VSC of the Third Order Systems","authors":"A. Nowacka, A. Bartoszewicz","doi":"10.1109/VSS.2006.1644497","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644497","url":null,"abstract":"In this paper a new sliding mode control algorithm for the third order uncertain, nonlinear and time-varying dynamic system subject to unknown disturbance and input constraint is proposed. The algorithm employs a time-varying switching plane. At the initial time the plane passes through the point determined by the system initial conditions in the error state space. Afterwards, the plane moves with a constant velocity to the origin of the space. In order to select the switching plane parameters, the integral of the time multiplied by the absolute error (ITAE) is minimized. Two types of the input signal constraints, i.e. a conventional constraint expressed by an inequality and an elastic constraint which allows the threshold value of the input signal to be slightly exceeded are considered. In both cases the switching plane is chosen in such a way that the reaching phase is eliminated, insensitivity of the system to the external disturbance and the model uncertainty is guaranteed from the very beginning of the proposed control action and fast, monotonic error convergence to zero is achieved","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"47 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":"115176106","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}
A. Loukianov, O. Espinosa-Guerra, B. Castillo-Toledo, V. Utkin
{"title":"Integral Sliding Mode Control for Systems with Time Delay","authors":"A. Loukianov, O. Espinosa-Guerra, B. Castillo-Toledo, V. Utkin","doi":"10.1109/VSS.2006.1644527","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644527","url":null,"abstract":"In this paper a novel discontinuous control strategy is proposed for robust stabilization of a class of uncertain multivariable linear time-delay system with delays in both the state and control variables. First, various predictors are used to obtain the free-delay control input. Then the integral sliding mode control technique is applied to compensate the uncertainty term and stabilize the closed-loop system. The proposed control stabilization conditions for systems presented in general and regular forms are derived. An example of the application of the proposed control strategy is illustrated","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"55 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":"115148384","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":"Observation and Identification of Mechanical Systems via Second Order Sliding Modes","authors":"J. Dávila, L. Fridman, A. Poznyak","doi":"10.1080/00207170600801635","DOIUrl":"https://doi.org/10.1080/00207170600801635","url":null,"abstract":"A second-order sliding-mode observer based on the modified super-twisting algorithm providing finite time observation is applied for system identification. The value of the equivalent output injection is used to identify perturbations directly. Continuous time versions of least square and forgetting factor methods are proposed to identify unknown time-invariant and time-variant parameters respectively","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"45 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":"116923088","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":"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":"Second Order Sliding Mode Observer for Estimation of Road Profile","authors":"A. Rabhi, N. M'Sirdi, L. Fridman, Y. Delanne","doi":"10.1109/VSS.2006.1644511","DOIUrl":"https://doi.org/10.1109/VSS.2006.1644511","url":null,"abstract":"This paper deals with an approach to estimate the road profile, by use of second order sliding mode observer. The method is based on a robust observer designed with a nominal dynamic model of vehicle. The estimation accuracy of observer has been validated experimentally using a trailer equiped with position sensors and accelerometers","PeriodicalId":146618,"journal":{"name":"International Workshop on Variable Structure Systems, 2006. VSS'06.","volume":"24 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":"127288784","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}