Disturbance Observer‐Based Elegant Anti‐Disturbance Control for Stochastic Systems with Multiple Disturbances

Disturbance observer-based elegant anti-disturbance control (DOBEADC) scheme is proposed for a class of stochastic systems with nonlinear dynamics and multiple disturbances. The stochastic disturbance observer based on pole placement is constructed to estimate disturbance which is generated by an exogenous system. Then, composite DOBC and H∞ controller is designed to guarantee the composite system is mean-square stable and its H∞performance satisfies a prescribed level. Finally, simulations on an A4D aircraft model show the effectiveness of the proposed approaches.

[1]  Nan Chen,et al.  Composite hierarchical anti‐disturbance control for nonlinear systems with DOBC and fuzzy control , 2014 .

[2]  Lei Guo,et al.  Composite disturbance-observer-based control and terminal sliding mode control for non-linear systems with disturbances , 2009, Int. J. Control.

[3]  Shihua Li,et al.  Disturbance observer based multi-variable control of ball mill grinding circuits , 2009 .

[4]  Wen-Hua Chen,et al.  Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach , 2005 .

[5]  Jiancheng Fang,et al.  Mismatched Disturbance Rejection Control for Voltage-Controlled Active Magnetic Bearing via State-Space Disturbance Observer , 2015, IEEE Transactions on Power Electronics.

[6]  Hamid Reza Karimi,et al.  Design of unknown inputs proportional integral observers for TS fuzzy models , 2014, Neurocomputing.

[7]  Shihua Li,et al.  Non-linear disturbance observer-based robust control for systems with mismatched disturbances/uncertainties , 2011 .

[8]  Nobuyuki Matsui,et al.  Disturbance observer-based nonlinear friction compensation in table drive system , 1998, AMC 1998.

[9]  Hassan Hammouri,et al.  Unknown input observer for state affine systems: A necessary and sufficient condition , 2010, Autom..

[10]  Hamid Reza Karimi,et al.  Observer-based finite-time fuzzy H∞ control for discrete-time systems with stochastic jumps and time-delays , 2014, Signal Process..

[11]  Hyungbo Shim,et al.  An almost necessary and sufficient condition for robust stability of closed-loop systems with disturbance observer , 2009, Autom..

[12]  S. P. Chan,et al.  A disturbance observer for robot manipulators with application to electronic components assembly , 1995, IEEE Trans. Ind. Electron..

[13]  Scott C. Douglas,et al.  Active noise control for periodic disturbances , 2001, IEEE Trans. Control. Syst. Technol..

[14]  Yonggui Kao,et al.  A sliding mode approach to H∞ non-fragile observer-based control design for uncertain Markovian neutral-type stochastic systems , 2015, Autom..

[15]  Hamid Reza Karimi,et al.  Robust Unknown Input Observer Design for Linear Uncertain Time Delay Systems with Application to Fault Detection , 2014 .

[16]  Frank Kozin,et al.  A survey of stability of stochastic systems , 1969, Autom..

[17]  Mingxing Fang,et al.  Improving Disturbance-Rejection Performance Based on an Equivalent-Input-Disturbance Approach , 2008, IEEE Transactions on Industrial Electronics.

[18]  Hamid Reza Karimi,et al.  Disturbance observer-based disturbance attenuation control for a class of stochastic systems , 2016, Autom..

[19]  Peng Shi,et al.  Adaptive Tracking for Stochastic Nonlinear Systems With Markovian Switching $ $ , 2010, IEEE Transactions on Automatic Control.

[20]  Hamid Reza Karimi,et al.  Robust Control of Stochastic Systems Against Bounded Disturbances With Application to Flight Control , 2014, IEEE Transactions on Industrial Electronics.

[21]  Ian R. Petersen,et al.  A riccati equation approach to the stabilization of uncertain linear systems , 1986, Autom..

[22]  Peter J. Gawthrop,et al.  A nonlinear disturbance observer for robotic manipulators , 2000, IEEE Trans. Ind. Electron..

[23]  Wen-Hua Chen,et al.  Disturbance observer based control for nonlinear systems , 2004 .

[24]  H. Karimi,et al.  Discrete‐time H −  ∕ H ∞  sensor fault detection observer design for nonlinear systems with parameter uncertainty , 2015 .

[25]  Lei Guo,et al.  Hierarchical anti-disturbance adaptive control for non-linear systems with composite disturbances and applications to missile systems , 2011 .

[26]  Hyungbo Shim,et al.  Adding robustness to nominal output-feedback controllers for uncertain nonlinear systems: A nonlinear version of disturbance observer , 2008, Autom..

[27]  Lei Guo,et al.  Anti-disturbance fault diagnosis for non-Gaussian stochastic distribution systems with multiple disturbances , 2014, Neurocomputing.

[28]  Xu Yanliang,et al.  Analysis of hybrid magnetic bearing with a permanent magnet in the rotor by FEM , 2006, IEEE Transactions on Magnetics.

[29]  Ruth J. Williams,et al.  Stabilization of stochastic nonlinear systems driven by noise of unknown covariance , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[30]  Lei Guo,et al.  Composite disturbance‐observer‐based control and H∞ control for complex continuous models , 2010 .