A novel robust control scheme for LTV systems using output integral discrete-time synergetic control theory

This paper presents a new robust control strategy based on a synergetic control theory (SCT) approach for linear time varying (LTV) systems in the presence of unknown persistent disturbance. The proposed control scheme is featured by an integral type of SCT driving the system towards a macro-variable manifold based on output error. The proposed control methodology guarantees robust stability for LTV systems, affected by unmeasured bounded additive disturbances. Robust stability analysis proves that the error trajectory monotonically converges to the SCT macro-variable manifold. The effectiveness of the proposed method and the implications of the controller design on feasibility and closed-loop performance is demonstrated through an example of reactor temperature control of Continuous Stirred Tank Reactor (CSTR) plant.

[1]  Panos J. Antsaklis,et al.  A Linear Systems Primer , 2007 .

[2]  Shigenori Sano,et al.  Least square based sliding mode control for a quad-rotor helicopter and energy saving by chattering reduction , 2016 .

[3]  Ren Xuemei,et al.  Multi-rate sensor fusion-based adaptive discrete finite-time synergetic control for flexible-joint mechanical systems , 2013 .

[4]  Leonid Fridman Chattering analysis in sliding mode systems with inertial sensors , 2003 .

[5]  Dongxiao Niu,et al.  Complex networks economy systems engineering in general synergetic structure , 2012 .

[6]  Yunjun Xu,et al.  Chattering Free Robust Control for Nonlinear Systems , 2008, IEEE Transactions on Control Systems Technology.

[7]  P.A. Iglesias,et al.  Robust Controller Design for Linear, Time-Varying Systems , 1999, Eur. J. Control.

[8]  Georgi M. Dimirovski,et al.  Integral Sliding Mode Control for a Class of Uncertain Switched Nonlinear Systems , 2010, Eur. J. Control.

[9]  Martin Daumer,et al.  On-line change-point detection (for state space models) using multi-process Kalman filters , 1998 .

[10]  Hongye Su,et al.  Comments on "Discrete-time variable structure controller with a decoupled disturbance compensator and its application to a CNC servomechanism" , 1999 .

[11]  Jeff S. Shamma,et al.  An Overview of LPV Systems , 2012 .

[12]  Eduardo F. Camacho,et al.  Robust Stability Analysis and Tuning of a Predictive Sliding Mode Controller , 2010, Eur. J. Control.

[13]  Andrey A. Kuz'menko Synchronous generator nonlinear excitation system: Synergetic sliding mode control , 2015, 2015 International Siberian Conference on Control and Communications (SIBCON).

[14]  Xinghuo Yu,et al.  Chattering free full-order sliding-mode control , 2014, Autom..

[15]  Valery A. Ugrinovskii Robust controllability of linear stochastic uncertain systems , 2005, Autom..

[16]  Peng Wang,et al.  Predictive Sliding Mode Control Using Feedback Linearization for Hypersonic Vehicle , 2015 .

[17]  Francesco Borrelli,et al.  Linear time‐varying model predictive control and its application to active steering systems: Stability analysis and experimental validation , 2008 .

[18]  S. Shankar Sastry,et al.  Lyapunov Stability Theory , 1999 .

[19]  Peter Zacharias,et al.  Chattering free robust control of LCL filter based shunt active power filter using adaptive second order sliding mode and resonant controllers , 2016 .

[20]  Franck Plestan,et al.  New predictive scheme for the control of LTI systems with input delay and unknown disturbances , 2015, Autom..

[21]  Zhenhua Jiang,et al.  Design of a nonlinear power system stabilizer using synergetic control theory , 2009 .

[22]  B. Patre,et al.  Discrete sliding mode control for robust tracking of time-delay systems , 2014 .

[23]  Richard M. Murray,et al.  DISTRIBUTED COOPERATIVE CONTROL OF MULTIPLE VEHICLE FORMATIONS USING STRUCTURAL POTENTIAL FUNCTIONS , 2002 .

[24]  A. Monti,et al.  Synergetic control for DC-DC boost converter: implementation options , 2002, Conference Record of the 2002 IEEE Industry Applications Conference. 37th IAS Annual Meeting (Cat. No.02CH37344).

[25]  Qingsong Xu,et al.  Micro-/Nanopositioning Using Model Predictive Output Integral Discrete Sliding Mode Control , 2012, IEEE Transactions on Industrial Electronics.

[26]  Charles J. Fallaha,et al.  Sliding-Mode Robot Control With Exponential Reaching Law , 2011, IEEE Transactions on Industrial Electronics.

[27]  Petros A. Ioannou,et al.  Robust Adaptive Control , 2012 .

[28]  Giorgio Bartolini,et al.  Simplex sliding mode control of multi-input systems with chattering reduction and mono-directional actuators , 2011, Autom..

[29]  Jochen Trumpf Observers for linear time-varying systems , 2007 .

[30]  Marko Bacic,et al.  Model predictive control , 2003 .

[31]  P. D. Shendge,et al.  Sliding Mode Control for Mismatched Uncertain Systems Using an Extended Disturbance Observer , 2014, IEEE Transactions on Industrial Electronics.

[32]  Mayuresh V. Kothare,et al.  Robust output feedback model predictive control using off-line linear matrix inequalities , 2002 .

[33]  J. Duane Morningred,et al.  An adaptive nonlinear predictive controller , 1992 .

[34]  Naresh K. Sinha,et al.  Some canonical forms for linear multivariable systems , 1976 .

[35]  Karl Johan Åström,et al.  Computer-Controlled Systems: Theory and Design , 1984 .

[36]  Anatoly A. Kolesnikov,et al.  Introduction of synergetic control , 2014, 2014 American Control Conference.

[37]  S. Sastry,et al.  Adaptive Control: Stability, Convergence and Robustness , 1989 .

[38]  Bilin Aksun Güvenç,et al.  Robust vehicle steering control design based on the disturbance observer , 2002, Annu. Rev. Control..

[39]  Basil Kouvaritakis,et al.  Robust Tube MPC for Linear Systems With Multiplicative Uncertainty , 2015, IEEE Transactions on Automatic Control.

[40]  Tore Hägglund,et al.  The future of PID control , 2000 .

[41]  Roland Toth,et al.  Modeling and Identification of Linear Parameter-Varying Systems , 2010 .

[42]  Wilfrid Perruquetti,et al.  A robust stability framework for LTI systems with time-varying sampling , 2015, Autom..

[43]  A. A. Kuz'menko,et al.  Novel Robust Control of Hydrogenerator: the synergetic approach , 2015 .

[44]  Andrey A. Kuz'menko,et al.  The use of integral adaptation principle to increase the reliability of synchronous generator nonlinear excitation system , 2014, 2014 6th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT).

[45]  Christopher Edwards,et al.  Sliding mode control : theory and applications , 1998 .

[46]  Tarak Damak,et al.  Higher Order Sliding Mode Control of Uncertain Robot Manipulators , 2015, Advances and Applications in Sliding Mode Control Systems.

[47]  Antonello Monti,et al.  Synergetic Control For Power Electronics Applications: A Comparison With The Sliding Mode Approach , 2004, J. Circuits Syst. Comput..

[48]  Christopher Edwards,et al.  Dynamic Sliding Mode Control for a Class of Systems with Mismatched Uncertainty , 2005, Eur. J. Control.

[49]  Ian R. Petersen,et al.  Robust Control Design Using H-infinity Methods , 2000 .