Adaptive tracking control of switched linear systems with multiple disturbance observers

This paper deals with model reference adaptive control for an uncertain switched linear system in the presence of disturbances in the state and control input based on time-dependent switching methods. A novel composite disturbance observer-based adaptive controller with adaptive laws is proposed in a tracking problem of uncertain switched linear system. First, two disturbance observers are proposed to estimate disturbances. Then, a hybrid switched adaptive controller based on state feedback and disturbance observers is designed. Thereafter, based on time-dependent switching signals included dwell-time (DT), average dwell-time (ADT), and the mode-dependent approaches of DT and ADT, a globally uniformly ultimately bounded stability of the closed-loop switched linear system is proved. Finally, the theoretic achievement is applied to a highly manoeuvrable aircraft technology vehicle to demonstrate the significance of the proposed method.

[1]  M. Mahmoud,et al.  Robust H∞ filtering for discrete-time switched time-delay systems with missing measurements and asynchronous switching , 2013 .

[2]  Beibei Ren,et al.  Robust tracking for a class of uncertain switched linear systems based on the uncertainty and disturbance estimator , 2017, 2017 11th Asian Control Conference (ASCC).

[3]  Ravi N. Banavar,et al.  A switched controller for an underactuated underwater vehicle , 2008 .

[4]  Dong Yang,et al.  Composite anti-disturbance control for switched systems via mixed state-dependent and time-driven switching , 2016 .

[5]  R. Decarlo,et al.  Perspectives and results on the stability and stabilizability of hybrid systems , 2000, Proceedings of the IEEE.

[6]  Jie Huang,et al.  A general framework for tackling the output regulation problem , 2004, IEEE Transactions on Automatic Control.

[7]  Wei Cao,et al.  Iterative learning control for discrete-time switched systems with attenuation factor , 2016 .

[8]  Behrooz Rezaie,et al.  Fuzzy-model-based fault detection for nonlinear networked control systems with periodic access constraints and Bernoulli packet dropouts , 2019, Appl. Soft Comput..

[9]  Franco Blanchini,et al.  Modal and transition dwell time computation in switching systems: a set-theoretic approach , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[10]  Mohammad Reza Jahed-Motlagh,et al.  Stabilization of a CSTR with two arbitrarily switching modes using modal state feedback linearization , 2009 .

[11]  Jun Zhao,et al.  H∞ model reference adaptive control for switched systems based on the switched closed-loop reference model , 2018 .

[12]  Lei Guo,et al.  How much uncertainty can be dealt with by feedback? , 2000, IEEE Trans. Autom. Control..

[13]  Zahra Rahmani,et al.  Design of a switching controller for unstable systems under variable disturbance , 2018 .

[14]  Senping Tian,et al.  Iterative learning control for switched singular time-delay systems , 2017 .

[15]  Alberto Bemporad,et al.  Observability and controllability of piecewise affine and hybrid systems , 2000, IEEE Trans. Autom. Control..

[16]  S. Fei,et al.  Design of Adaptive Switching Controller for Robotic Manipulators with Disturbance , 2016 .

[17]  Claire J. Tomlin,et al.  Switched nonlinear control of a VSTOL aircraft , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[18]  Lixian Zhang,et al.  Switched linear parameter-varying modeling and tracking control for flexible hypersonic vehicle , 2019 .

[19]  D. Cheng,et al.  Controllability of switched bilinear systems , 2005, IEEE Transactions on Automatic Control.

[20]  Bo Hu,et al.  Disturbance attenuation properties of time-controlled switched systems , 2001, J. Frankl. Inst..

[21]  S. Shankar Sastry,et al.  Conflict resolution for air traffic management: a study in multiagent hybrid systems , 1998, IEEE Trans. Autom. Control..

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

[23]  Grace S. Deaecto,et al.  Switched affine systems control design with application to DCߝDC converters , 2010 .

[24]  Nathan van de Wouw,et al.  Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach , 2009, IEEE Transactions on Automatic Control.

[25]  M. H. Shafiei,et al.  Stabilization of uncertain nonlinear discrete-time switched systems with state delays: A constrained robust model predictive control approach , 2019 .

[26]  Jun Zhao,et al.  Adaptive disturbance rejection for strict‐feedback switched nonlinear systems using multiple Lyapunov functions , 2014 .

[27]  Robert Shorten,et al.  Issues in the design of switched linear control systems: A benchmark study , 2003 .

[28]  M. R. Jahed Motlagh,et al.  Control of spatio-temporal on–off intermittency in random driving diffusively coupled map lattices , 2009 .

[29]  Zhiqiang Gao,et al.  On the centrality of disturbance rejection in automatic control. , 2014, ISA transactions.

[30]  Ning Zhang,et al.  A fast finite-time convergent guidance law with nonlinear disturbance observer for unmanned aerial vehicles collision avoidance , 2019, Aerospace Science and Technology.

[31]  Jing Sun,et al.  Model Reference Adaptive Control , 2015, Encyclopedia of Systems and Control.

[32]  Lei Guo,et al.  Disturbance-Observer-Based Control and Related Methods—An Overview , 2016, IEEE Transactions on Industrial Electronics.

[33]  Yue Zhao,et al.  Mode-dependent controller design for networked control system with average dwell time switching , 2017 .

[34]  J. B. Klaassens,et al.  PWM-switch modeling of DC-DC converters , 1995 .

[35]  A. S. Morse.  Cyclic Switching and Supervisory Control , 1995 .

[36]  Qingwei Chen,et al.  Tracking control for a class of switched non-linear systems with time-varying delay , 2013 .

[37]  Inés Tejado,et al.  A method for the design of robust controllers ensuring the quadratic stability for switching systems , 2014 .

[38]  Yonggui Kao,et al.  Control Synthesis of Switched Systems , 2016 .

[39]  Ruisheng Sun,et al.  Disturbance observer-based control for small nonlinear UAV systems with transient performance constraint , 2020 .

[40]  Nong Zhang,et al.  Switched control of vehicle suspension based on motion-mode detection , 2014 .

[41]  N. El‐Farra,et al.  Robust predictive control of switched systems: Satisfying uncertain schedules subject to state and control constraints , 2008 .

[42]  Chaoyang Dong,et al.  Morphing aircraft control based on switched nonlinear systems and adaptive dynamic programming , 2019, Aerospace Science and Technology.

[43]  A. Morse,et al.  Basic problems in stability and design of switched systems , 1999 .

[44]  Bart De Schutter,et al.  Robust adaptive tracking control of uncertain slowly switched linear systems , 2018 .

[45]  Dong Yang,et al.  Composite anti-disturbance model reference adaptive control for switched systems , 2019, Inf. Sci..

[46]  Lin Shi,et al.  Second-order group consensus for linear multi-agent systems with average dwell time switching , 2019, Trans. Inst. Meas. Control.

[47]  Robin J. Evans,et al.  Stability results for switched controller systems , 1999, Autom..

[48]  Linlin Hou,et al.  Composite anti-disturbance control for a discrete-time time-varying delay system with actuator failures based on a switching method and a disturbance observer , 2014 .

[49]  Xin Sun,et al.  Switched propulsion force libration control for the low-thrust space tug system , 2018 .

[50]  Peng Shi,et al.  Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time , 2012, IEEE Transactions on Automatic Control.