{"title":"Feedback reduced and canonical forms for piecewise linear systems","authors":"X. Puerta","doi":"10.1109/VSS.2010.5544731","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544731","url":null,"abstract":"Given a switched linear system, we give a reduced form of its equations by means of a feedback and a change of variables. For bimodal piecewise linear systems, this reduced form leads to a canonical form in the sense that it gives a complete set of invariants. A characterization of controllability is given in terms of these invariants.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"21 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":"124575629","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":"A sliding mode optimal regulator for nonlinear polynomial systems with a non-quadratic criterion","authors":"M. Basin, A. Loukianov, Rocío Hernández-Fabián","doi":"10.1109/VSS.2010.5544699","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544699","url":null,"abstract":"This paper presents the optimal control problem for a nonlinear polynomial system with respect to a Bolza-Meyer criterion with non-quadratic state energy terms. A distinctive feature of the obtained result is that a part of the optimally controlled state trajectory occurs to be in a sliding mode, i.e., represents an enforced motion along a certain manifold. The optimal solution is obtained as a sliding mode control, whereas the conventional linear feedback control fails to provide a causal solution. Performance of the obtained optimal controller is verified in the illustrative example against the conventional polynomial-quadratic regulator that is optimal for the quadratic Bolza-Meyer criterion. The simulation results confirm an advantage in favor of the designed sliding mode control.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"7 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":"124872265","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":"A sliding mode controlled three wheels narrow vehicle for two passengers","authors":"N. Roqueiro, Enric Fossas Colet","doi":"10.1109/VSS.2010.5544669","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544669","url":null,"abstract":"This paper reports a sliding mode controlled three wheels narrow vehicle for two passengers. The whole system is a two-input two-output, eight-teen order dynamical system. In a first and simple design, a set of parameters that achieve an acceptable system performance under perturbations could be selected. Results where validated by simulation. However, the performance shown in a wide range of simulations run allows us to expect analytic proofs will be possible.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"22 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":"130488121","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 SI engine Volumetric Efficiency & Throttle Discharge Coefficient","authors":"Q. Ahmed, Aamer Iqbal Bhatti","doi":"10.1109/VSS.2010.5544649","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544649","url":null,"abstract":"Identification and estimation of non-measurable critical parameters of automotive engine provide significant information to monitor its functions and health. This article proposes a novel estimation scheme of identifying such parameters. Two of the critical parameters are: Volumetric Efficiency and Throttle Discharge Coefficient. These parameters are estimated from the single nonlinear equation of engine inlet manifold pressure dynamics. The estimation scheme utilizes second order sliding mode observer based on super twisting algorithm. Mean Value Engine Model is considered to model the inlet manifold behavior. The estimation is carried out on production vehicle equipped with engine control unit compliant to OBD-II standards. The proposed observer is simple enough for implementation. The estimated parameters have vast application in the area of engine controller design and fault diagnosis/prognosis.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"39 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":"130703984","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":"Attracting Ellipsoid Method application to designing of sliding mode controllers","authors":"J. Dávila, A. Poznyak","doi":"10.1109/VSS.2010.5544627","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544627","url":null,"abstract":"The Attracting Ellipsoid Method is applied for the design of sliding mode controllers for linear systems subjected to matched and unmatched perturbations. The existence of first order actuators is considered and their time constants are designed to provide quasi-optimal practical stability. The technique is based on the existence of an attracting (invariant) ellipsoid such that the convergence to a quasi-minimal region of the origin is guaranteed. The design procedure is given in terms of the solution of a set of Linear Matrix Inequalities. A benchmark example illustrating the design is given.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"33 12","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120996985","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":"A nonlinear sliding surface for discrete-time uncertain systems","authors":"B. Bandyopadhyay, Fulwani Deepak","doi":"10.1109/VSS.2010.5544658","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544658","url":null,"abstract":"This paper proposes a discretization behavior of nonlinear sliding surface based algorithms. Recently nonlinear surfaces are proposed by the authors to improve transient performance of continuous and discrete-time uncertain systems. The nonlinear surface changes system's closed loop damping ratio as output approaches the setpoint. In this paper we propose a nonlinear surface for the system represented by delta operator approach which unifies our continuous-time and discrete-time results.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"10 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":"130641994","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":"Nonlinear sliding mode high-gain observers for fault detection","authors":"K. Veluvolu, F. Zhe, Y. Soh","doi":"10.1109/VSS.2010.5544708","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544708","url":null,"abstract":"A robust high gain observer for state and faults estimations for a special class of nonlinear systems is developed in this article. Ensuring the observability of the faults with respect to the outputs, the faults can be estimated from the sliding surface. Under a Lipschitz condition for the nonlinear part, the high gain observers are designed under some regularity assumptions. In the sliding mode, the convergence of the estimation error dynamics is proven similar to the analysis of high-gain observers.","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":"129471304","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":"Switched second order sliding mode for wheel slip control of road vehicles","authors":"M. Tanelli, A. Ferrara, C. Vecchio","doi":"10.1109/VSS.2010.5544711","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544711","url":null,"abstract":"Longitudinal wheel slip control is a crucial problem in automotive systems, as it it is the basis for traction, braking and stability control. As slip dynamics are critically dependent on the vehicle speed, it is interesting to devise an adaptation of the controller parameters with respect to this variable. To achieve this, the present paper proposes a novel switched second order sliding mode (S-SOSM) control strategy, which allows to enhance the closed-loop performance and tune it to the current working condition.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"114 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":"116494091","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":"Two relay based control for orbital stabilization of inertia wheel pendulum—The bounded input case","authors":"Victor Juarez Luna, L. Aguilar","doi":"10.1109/VSS.2010.5544680","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544680","url":null,"abstract":"We study the orbital stabilization problem of an inertia wheel pendulum (IWP) where a two-relay controller will be used to induce oscillations at the pendulum. The main focus of the paper is the consideration of the viscous friction force and saturation of the actuator. A two relay controller produces oscillations at the scalar output of the plant where the desired amplitude and frequency are reached by choosing its gains but now we consider the bounded input restriction in the design. Condition in frequency and amplitude will be explicitly given leading to permissible controller parameter design. Performance issues of the controller constructed are illustrated in an experimental study.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"11 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":"131505021","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 stabilization of an integrator chain using only signs of the state variables","authors":"Mikhail Kryachkov, A. Polyakov, V. Strygin","doi":"10.1109/VSS.2010.5544675","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544675","url":null,"abstract":"This paper considers the finite-time stabilization problem for an integrator chain in the context of uncertain measurement nonlinearities, such that the signs of the state variables are the only available information for feedback. The solutions of this problem are known for single, double, and triple integrators. The main result of the present paper is a higher-order sliding mode (HOSM) controller that stabilizes an integrator chain of arbitrary length. Computer simulations are provided to validate theoretical results.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"36 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":"133195692","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}