{"title":"Uniform Second-Order Sliding Mode Observer for mechanical systems","authors":"E. Cruz‐Zavala, J. Moreno, L. Fridman","doi":"10.1109/VSS.2010.5544656","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544656","url":null,"abstract":"In this paper we introduce a modification to the classical Second-Order Sliding Mode Observer (SOSMO), used mainly for mechanical systems, and that consists in adding higher order nonlinear injection terms. Besides the usual finite-time con- vergence and exactness of the SOSMO, this new algorithm makes the convergence uniform with respect to the initial conditions, that is, the observation error reaches exactly and robustly the origin in a convergence time that is uniformly bounded above for every initial condition. The properties of the Uniform SOSMO (USOSMO) are studied using strong Lyapunov functions.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"37 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":"128679683","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 finite-time convergent continuous time sliding mode controller for spacecraft attitude control","authors":"P. M. Tiwari, S. Janardhanan, M. Nabi","doi":"10.1109/VSS.2010.5544630","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544630","url":null,"abstract":"In this work a finite time convergent, continuous time sliding mode robust controller is proposed for attitude control of rigid spacecraft. The controller is designed with a new proposed fast terminal sliding mode (FTSM). Finite time reachability to the small neighborhood of sliding surface and faster finite time convergent of system states to equilibrium point is shown using a Lyapunov-type theorem. Simulation results show better convergent performance of the FTSM over terminal sliding mode controller (TSM).","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"33 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":"116142142","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 gain sliding mode observer for heavy duty vehicle tyre forces estimation","authors":"O. Khemoudj, H. Imine, M. Djemai, L. Fridman","doi":"10.1109/VSS.2010.5544542","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544542","url":null,"abstract":"In the paper a methodology of robust tyre-force estimation for heavy duty vehicles using higher order sliding mode observers is developed. For this goal yaw-roll model is used. The main on-board sensors are provided through the CAN-bus of the vehicle, but low-cost sensors are added. The approach is validated by comparing the estimation results to those given by the software vehicle dynamics PROSPER.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"45 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":"126783276","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 controller for real-time trajectory generation and its application to inverted orbital stabilization of inertia wheel pendulum","authors":"A. Estrada, L. Aguilar, R. Iriarte, L. Fridman","doi":"10.1109/VSS.2010.5544724","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544724","url":null,"abstract":"A sliding mode control is developed to solve the tracking control problem for an inertia wheel pendulum. The desired trajectory is centered at the upright position where the open-loop system becomes a non-minimum-phase system. As a first step towards the solution of the tracking control problem is the reference trajectory generation where we develop a reference model, based on the two-relay controller, to generate a set of desired trajectories for the inertia wheel pendulum. The two relay controller produces oscillations at the scalar output of an underactuated system where the desired amplitude and frequency are reached by choosing its gains. The well-known second order sliding mode controller is capable of making the pendulum move tracking the prescribed reference signals determined by the trajectory generator. Performance issues of the controller constructed are illustrated in a simulation study.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"65 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":"130313969","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":"Invariant ellipsoid method for time-delayed predictor-based sliding mode control system","authors":"A. Polyakov","doi":"10.1109/VSS.2010.5544685","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544685","url":null,"abstract":"The new method of the control design for the time delayed system is presented. It is based on combination of the well-known predictor based sliding mode control algorithm and the recently developed invariant ellipsoid method, which allows to minimize the effects of the system uncertainties and disturbances. The theoretical results are illustrated by a numerical example.","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":"134389031","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":"Nested backward compensation of unmatched effects of unknown inputs based on HOSM identification","authors":"Alejandra Ferreira, Elisabetta Punta","doi":"10.1109/VSS.2010.5544671","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544671","url":null,"abstract":"The paper considers the regulation problem of linear time invariant systems with unmatched perturbations. The proposed methodology exploits a high order sliding mode observer, which guarantees theoretically exact state and per- turbation estimation. It is introduced a controller with a compensation strategy based on the identified perturbation values. When the system satisfies quite restrictive assumptions, the method ensures exact regulation of the unmatched states. In order to deal with the general case it is proposed a nested backward strategy to design the sliding surface, which allows to compensate the unmatched uncertainties and to stabilize some of the non-actuated state components, while all the remaining states are maintained bounded.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"86 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":"115631175","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":"Performance of discrete time sliding mode controller with data fusion","authors":"J. Arunshankar, M. Umapathy, B. Bandhopadhyay","doi":"10.1109/VSS.2010.5544695","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544695","url":null,"abstract":"This work aims in evaluating the closed loop performance of reaching law based discrete time sliding mode controller with multisensor data fusion (MSDF). The work considers six different fusion algorithms, to measure and control the structural vibration of piezo actuated cantilever beam. The vibration is measured using two piezo homogeneous sensors. Each sensor output uses separate estimator, for generating the states, which are then fused. The linear dynamic model identified using linear Recursive Least Square (RLS) method based on ARX model is used to illustrate the effectiveness of closed loop performance with data fusion, as compared to the single sensor case.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"20 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":"115124131","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":"Dynamics observation and parameters identification of heavy vehicle via second order sliding mode","authors":"M. Bouteldja, M. Djemai, L. Fridman","doi":"10.1109/VSS.2010.5545142","DOIUrl":"https://doi.org/10.1109/VSS.2010.5545142","url":null,"abstract":"In road transport domain, the use of state dynamics observation/estimation and parametric identification techniques are necessary for control diagnosis. Unfortunately, the use of different methods of observations/estimation and parametric identification is not without risk. This risk can be observed in term of accumulation of errors which can be considerable and more still, on the level of the total stability of the system. This article presents an original method allowing the observation/estimation of sates dynamics and parametric identification. This method is based on the approach of the High order sliding modes, with the application of the super-twisting algorithm and tested on a articulated heavy vehicle model.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"9 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":"125202797","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 hybrid sliding mode strategy for minimum-phase systems with output constraints","authors":"H. Richter","doi":"10.1109/VSS.2010.5544720","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544720","url":null,"abstract":"A new setpoint control scheme is proposed for single-input systems, where a regulated output must be transferred between two setpoints, with the additional requirement that a set of limited outputs remain within prescribed bounds. The strategy is based on a max-min selector system frequently used in the process control and aerospace fields. The regulators used for the controlled and outputs are of the sliding mode type, where the sliding variable is defined as the difference between an output and its limit. The max and min arrangements enjoy many beneficial properties, including a separation principle allowing the independent design of the sliding regulators, with overall asymptotic stability guarantee. The paper details the stability proof for the separate min and max selector systems and describes the invariance properties leading to limit protection. Some results applicable to the max-min case are also included. Design guidelines, as well as a detailed simulation example, demonstrate practical applicability.","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":"114165031","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}
Xiangjun Li, Xinghuo Yu, Qing-Long Han, Changhong Wang
{"title":"Time-delay effect on continuous approximation of sliding mode control","authors":"Xiangjun Li, Xinghuo Yu, Qing-Long Han, Changhong Wang","doi":"10.1109/VSS.2010.5544541","DOIUrl":"https://doi.org/10.1109/VSS.2010.5544541","url":null,"abstract":"In this paper, time-delay effect on continuous approximation of sliding mode control (SMC) systems is studied in depth. The switching band that bound the zigzagging behaviors due to control switching around the switching manifold is constructed. Robust control theory is employed to develop a sufficient condition for the asymptotical stability of the system. Simulation is conducted to verify the theoretical results.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"288 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":"122086708","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}