Composite hierarchical anti-disturbance control for stochastic systems with multiple heterogeneous disturbances

This paper studies the problem of anti-disturbance control for a class of stochastic systems with multiple heterogeneous disturbances, which include the white noise and the non-harmonic disturbance with unknown nonlinear function. An adaptive disturbance observer is constructed to estimate the non-harmonic disturbances with unknown nonlinear function, which is approximated by neural network. A composite hierarchical anti-disturbance control (CHADC) scheme is designed by integrated Lyapunov function and linear matrix inequality (LMI), such that the expected dynamic performance of the composite system is achieved. Finally, simulations show that the approach is proper and effective.

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

[2]  Jianping Yuan,et al.  Adaptive output feedback disturbance attenuation control for nonlinear systems with non-harmonic multisource disturbances , 2017 .

[3]  Yi Shen,et al.  Adaptive sliding mode fault-tolerant control for type-2 fuzzy systems with distributed delays , 2019, Inf. Sci..

[4]  Shengyuan Xu,et al.  Reduced-order H∞ filtering for singular systems , 2007, Syst. Control. Lett..

[5]  Jian Han,et al.  Robust adaptive tracking control for a class of mechanical systems with unknown disturbances under actuator saturation , 2019, International Journal of Robust and Nonlinear Control.

[6]  Xiuming Yao,et al.  Composite Antidisturbance Control for a Class of Nonlinear Stochastic Systems via Disturbance Observer , 2013 .

[7]  Jian Han,et al.  Disturbance observer-based elegant anti-disturbance saturation control for a class of stochastic systems , 2020, Int. J. Control.

[8]  Jinde Cao,et al.  Asymptotic synchronization for stochastic memristor-based neural networks with noise disturbance , 2016, J. Frankl. Inst..

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

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

[11]  Chaoyang Dong,et al.  On Finite‐Time Stabilization of Active Disturbance Rejection Control for Uncertain Nonlinear Systems , 2018 .

[12]  Linlin Hou,et al.  Disturbance attenuation and rejection for stochastic Markovian jump system with partially known transition probabilities , 2018, Autom..

[13]  Ligang Wu,et al.  Disturbance-Observer-Based Control for Air Management of PEM Fuel Cell Systems via Sliding Mode Technique , 2019, IEEE Transactions on Control Systems Technology.

[14]  José de Jesús Rubio,et al.  Uniform stable observer for the disturbance estimation in two renewable energy systems. , 2015, ISA transactions.

[15]  Xinjiang Wei,et al.  Anti-disturbance control based on nonlinear disturbance observer for a class of stochastic systems , 2018, Trans. Inst. Meas. Control.

[16]  Ralph John L. De la Cruz,et al.  On the diagonalizability of a matrix by a symplectic equivalence, similarity or congruence transformation , 2016 .

[17]  Zhi-Hong Guan,et al.  Adaptive neural control for a class of stochastic nonlinear systems with unknown parameters, unknown nonlinear functions and stochastic disturbances , 2017, Neurocomputing.

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

[19]  Miroslav Krstic,et al.  Stabilization of stochastic nonlinear systems driven by noise of unknown covariance , 2001, IEEE Trans. Autom. Control..

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

[21]  Mou Chen,et al.  Robust adaptive control scheme for optical tracking telescopes with unknown disturbances , 2015 .

[22]  Jie Huang,et al.  A class of nonlinear internal models for global robust output regulation problem , 2015 .

[23]  Lei Guo,et al.  Anti-disturbance control theory for systems with multiple disturbances: a survey. , 2014, ISA transactions.

[24]  Songyin Cao,et al.  Anti-Disturbance Control for Systems with Multiple Disturbances , 2013 .

[25]  Xinyong Wang,et al.  Adaptive tracking control for a class of uncertain switched nonlinear systems with time-delay , 2018, Trans. Inst. Meas. Control.

[26]  Haiying Dong,et al.  Voltage and Reactive Power Control of Front-end Speed Controlled Wind Turbine via H∞ Strategy , 2013 .

[27]  F. Hu,et al.  The modulus of continuity theorem for G-Brownian motion , 2017 .

[28]  Huaguang Zhang,et al.  Dissipativity-Based Fault Detection for Uncertain Switched Fuzzy Systems With Unmeasurable Premise Variables , 2019, IEEE Transactions on Fuzzy Systems.

[29]  Xinjiang Wei,et al.  Composite anti-disturbance control for a class of uncertain nonlinear systems via a disturbance observer , 2016 .

[30]  Ligang Wu,et al.  Event-triggered sliding mode control of stochastic systems via output feedback , 2017, Autom..

[31]  A. Astolfi.  Disturbance Attenuation and H,-Control Via Measurement Feedback in , 1992 .

[32]  Jan C. Willems,et al.  Feedback stabilizability for stochastic systems with state and control dependent noise , 1976, Autom..

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

[34]  Mu De-jun.  Measurement and Control of Web QoS , 2007 .

[35]  Guanghui Sun,et al.  Fault‐Tolerant Finite Frequency H∞ Control for Uncertain Mechanical System with Input Delay and Constraint , 2017 .

[36]  Tianyou Chai,et al.  Modeling Component Concentrations of Sodium Aluminate Solution Via Hammerstein Recurrent Neural Networks , 2012, IEEE Transactions on Control Systems Technology.

[37]  Huijun Gao,et al.  Extended State Observer-Based Sliding-Mode Control for Three-Phase Power Converters , 2017, IEEE Transactions on Industrial Electronics.

[38]  Wei Xing Zheng,et al.  Improved Results on Statistic Information Control With a Dynamic Neural Network Identifier , 2013, IEEE Transactions on Circuits and Systems II: Express Briefs.

[39]  Wen-Hua Chen,et al.  Disturbance-observer-based robust control for time delay uncertain systems , 2010 .

[40]  Zengjing Chen,et al.  How big are the increments of G-Brownian motion? , 2014 .

[41]  Yi Yang,et al.  Neural network modeling-based anti-disturbance tracking control for hypersonic flight vehicle models , 2017, 2017 36th Chinese Control Conference (CCC).

[42]  Yuan Li,et al.  Robust adaptive tracking control of wheeled mobile robot , 2016, Robotics Auton. Syst..

[43]  Bing Chen,et al.  Adaptive neural control for a general class of pure-feedback stochastic nonlinear systems , 2014, Neurocomputing.

[44]  K. Ikramov.  Simultaneous decomplexification of a pair of complex matrices by a unitary congruence transformation , 2011 .

[45]  Hamid Reza Karimi,et al.  Composite hierarchical antidisturbance control for a class of discrete‐time stochastic systems , 2018 .

[46]  Junfei Qiao,et al.  An incremental neuronal-activity-based RBF neural network for nonlinear system modeling , 2018, Neurocomputing.

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

[48]  Bor-Sen Chen,et al.  On stabilizability and exact observability of stochastic systems with their applications , 2023, Autom..

[49]  Zhe Dong,et al.  Extended State Observer for Nuclear Reactors , 2018, 2018 Annual American Control Conference (ACC).

[50]  Jian Han,et al.  Reduced-order observer based fault estimation and fault-tolerant control for switched stochastic systems with actuator and sensor faults. , 2019, ISA transactions.