Sliding mode control with time-varying sliding hyperplanes: A survey

Sliding mode control is a well-known regulation method that allows to obtain good robustness with respect to disturbances and model uncertainties. The use of a time-varying sliding hyperplane allows to select its starting position to cross the initial conditions of the system, and then move it toward the desired state. In this way, the sliding mode can be enforced for the whole control process. This is a major advantage over using the more popular time-invariant hyperplanes, which requires the existence of a reaching phase, during which the robustness is not ensured. The presented paper aims to summarize and compare recent results concerning sliding mode control with time-varying hyperplanes.

[1]  Xuzhong Wu,et al.  Finite-Time Reentry Attitude Control Using Time-Varying Sliding Mode and Disturbance Observer , 2015 .

[2]  Andrzej Bartoszewicz,et al.  Time-varying sliding modes for second-order systems , 1996 .

[3]  G.A. Capolino,et al.  Robust control of an induction machine drive using a time-varying sliding surface , 2004, 2004 IEEE International Symposium on Industrial Electronics.

[4]  Nurkan Yagiz,et al.  Fuzzy Sliding-Mode Control of Active Suspensions , 2008, IEEE Transactions on Industrial Electronics.

[5]  Y. Hurmuzlu,et al.  Eliminating the Reaching Phase From Variable Structure Control , 2000 .

[6]  Wei Qiu,et al.  Time-varying sliding mode control for a class of uncertain MIMO nonlinear system subject to control input constraint , 2010, Science in China Series F: Information Sciences.

[7]  Hou Chao-zhen,et al.  Time-varying Sliding Mode Controls in Rigid Spacecraft Attitude Tracking , 2008 .

[8]  Zhen Chen,et al.  A Precise and Robust Control Strategy for Rigid Spacecraft Eigenaxis Rotation , 2011 .

[9]  Andrzej Bartoszewicz,et al.  ITAE Optimal Sliding Modes for Third-Order Systems With Input Signal and State Constraints , 2010, IEEE Transactions on Automatic Control.

[10]  Binglong Cong,et al.  Distributed attitude synchronization of formation flying via consensus-based virtual structure , 2011 .

[11]  Dariusz Pazderski,et al.  Experimental Verification of Optimal Sliding Mode Controllers for Hoisting Cranes , 2011 .

[12]  Andrzej Bartoszewicz,et al.  IAE Optimal Sliding Mode Control of Cable Suspend Loads , 2008 .

[13]  Yao Zhao,et al.  A Novel Finite Time Sliding Mode Control for Robotic Manipulators , 2014 .

[14]  A. Bartoszewicz,et al.  Variable structure control of second order system with acceleration constraint , 2009 .

[15]  Jie Geng,et al.  Time-varying nonsingular terminal sliding mode control for robot manipulators , 2014 .

[16]  Andrzej Bartoszewicz,et al.  ITAE optimal transient performance in SMC of third order systems with state and input constraints , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[17]  Nurkan Yagiz,et al.  Fuzzy Sliding Modes with Moving Surface for the Robust Control of a Planar Robot , 2005 .

[18]  Andrzej Bartoszewicz,et al.  Sliding‐mode control of the third‐order system subject to velocity, acceleration and input signal constraints , 2007 .

[19]  Andrzej Bartoszewicz,et al.  Transient Performance Optimization in SMC of Third Order Systems with Velocity and Input Constraints , 2009 .

[20]  Hasan Komurcugil.  A new sliding mode control for single-phase UPS inverters based on rotating sliding surface , 2010, 2010 IEEE International Symposium on Industrial Electronics.

[21]  A. Bartoszewicz,et al.  Experimental results on sliding mode control of hoisting crane subject to state constraints , 2010, 2010 IEEE Region 8 International Conference on Computational Technologies in Electrical and Electronics Engineering (SIBIRCON).

[22]  A. Bartoszewicz.  Design of a nonlinear time-varying switching line for second order systems , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[23]  Andrzej Bartoszewicz,et al.  Shifted Switching Plane Design for Third-Order Systems with Elastic and Conventional Input Constraints , 2006 .

[24]  Andrzej Bartoszewicz,et al.  ITAE optimal switching plane design for VSC of continuous-time third order systems with state constraints , 2009, 2009 European Control Conference (ECC).

[25]  A. Bartoszewicz,et al.  Moving Switching Plane Selection for the Third Order System Subject to Input and Acceleration Constraints , 2006, IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics.

[26]  Andrzej Bartoszewicz,et al.  Reaching phase elimination in variable structure control of the third order system with state constraints , 2006, Kybernetika.

[27]  G.A. Capolino,et al.  Moving switching surfaces for high precision position control of electrical drives , 2004, 2004 IEEE International Conference on Industrial Technology, 2004. IEEE ICIT '04..

[28]  Andrzej Bartoszewicz,et al.  Sliding Mode Control of Second Order Dynamic System with State Constraints , 2011 .

[29]  Chen Zhen,et al.  Exponential Time-varying Sliding Mode Control for Large Angle Attitude Eigenaxis Maneuver of Rigid Spacecraft , 2010 .

[30]  Andrzej Bartoszewicz,et al.  Optimal design of the shifted switching planes for VSC of a third-order system , 2006 .

[31]  Andrzej Bartoszewicz,et al.  SMC without the reaching phase - the switching plane design for the third-order system , 2007 .

[32]  Ibrahim Eksin,et al.  New Approaches for On-line Tuning of the Linear Sliding Surface Slope in Sliding Mode Controllers , 2003 .

[33]  Hasan Komurcugil,et al.  Rotating-Sliding-Line-Based Sliding-Mode Control for Single-Phase UPS Inverters , 2012, IEEE Transactions on Industrial Electronics.

[34]  Jie Wang,et al.  Nonlinear robust control for reusable launch vehicles in reentry phase based on time-varying high order sliding mode , 2013, J. Frankl. Inst..

[35]  Dariusz Pazderski,et al.  Experimental application of time-varying sliding modes for hoisting crane position control with constraints , 2010, 49th IEEE Conference on Decision and Control (CDC).

[36]  A. Bartoszewicz,et al.  Elastic and conventional constraints in sliding mode control of second order system , 2008, 2008 34th Annual Conference of IEEE Industrial Electronics.

[37]  Yu-Shen Lu,et al.  Time-varying sliding-mode control for finite-time convergence , 2010 .

[38]  Andrzej Bartoszewicz,et al.  VSC of the third order systems with state and input signal constraints , 2007, 2007 European Control Conference (ECC).

[39]  Y. Kanai,et al.  Discrete time Sliding Mode Control with time varying switching hyper plane , 2008, 2008 SICE Annual Conference.

[40]  Takayuki Koizumi,et al.  Force control for unknown environment using sliding mode controller with gain-scheduled variable hyperplane , 2002, IEEE 2002 28th Annual Conference of the Industrial Electronics Society. IECON 02.

[41]  Andrzej Bartoszewicz,et al.  A moving switching plane for the sliding mode control of the third order system , 2005 .

[42]  Ibrahim Eksin,et al.  Linear time-varying sliding surface design based on co-ordinate transformation for high-order systems , 2009 .

[43]  A. Bartoszewicz,et al.  Stretchable and Conventional Input Constraints in VSC of the Third Order Systems , 2006, International Workshop on Variable Structure Systems, 2006. VSS'06..

[44]  Maria Letizia Corradini,et al.  Linear unstable plants with saturating actuators: Robust stabilization by a time varying sliding surface , 2007, Autom..

[45]  Hasan Komurcugil,et al.  Decoupled sliding-mode controller based on time-varying sliding surfaces for fourth-order systems , 2010, Expert Syst. Appl..

[46]  Dariusz Pazderski,et al.  Experimental verification of SMC with moving switching lines applied to hoisting crane vertical motion control. , 2012, ISA transactions.

[47]  A. Bartoszewicz,et al.  A New Procedure of Time-Varying Switching Plane Design , 2006, IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics.

[48]  A. Bartoszewicz,et al.  An optimal switching plane design for the third order system subject to state constraints , 2006, International Workshop on Variable Structure Systems, 2006. VSS'06..