Switched adaptive observers design for a class of switched uncertain nonlinear systems

Abstract In this paper, a switched adaptive observer for a class of switched uncertain nonlinear systems is designed by using an average dwell time (ADT) method. Due to that switching unknown parameters lead to different coordinates transformation for different subsystems, some new dwell-time conditions are provided by an improved ADT method. Also, the boundedness of all signals is ensured by a well defined persistent excitation condition under a class of switching signals with ADT. Finally, the effectiveness of the theoretical results in this paper is demonstrated through a simulation example.

[1]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Feedback Control for a Class of Nonlinear Systems With Full State Constraints , 2018, IEEE Transactions on Fuzzy Systems.

[2]  D. Hill,et al.  Input‐to‐state exponents and related ISS for delayed discrete‐time systems with application to impulsive effects , 2018 .

[3]  A. Morse,et al.  Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[4]  Sung Jin Yoo,et al.  Adaptive-observer-based output-constrained tracking of a class of arbitrarily switched uncertain non-affine nonlinear systems , 2017 .

[5]  Nicolas Boizot,et al.  An adaptive high-gain observer for nonlinear systems , 2010, Autom..

[6]  Shaocheng Tong,et al.  Adaptive Fuzzy Control Design for Stochastic Nonlinear Switched Systems With Arbitrary Switchings and Unmodeled Dynamics , 2017, IEEE Transactions on Cybernetics.

[7]  Jun Zhao,et al.  On stability, L2-gain and Hinfinity control for switched systems , 2008, Autom..

[8]  David P Stoten,et al.  Application of the MCS algorithm to the control of an electrohydraulic system , 1994, Proceedings of IECON'94 - 20th Annual Conference of IEEE Industrial Electronics.

[9]  Qinghua Zhang,et al.  Adaptive observer for multiple-input-multiple-output (MIMO) linear time-varying systems , 2002, IEEE Trans. Autom. Control..

[10]  Lijun Long,et al.  Integral ISS for Switched Nonlinear Time-Varying Systems Using Indefinite Multiple Lyapunov Functions , 2019, IEEE Transactions on Automatic Control.

[11]  Shaocheng Tong,et al.  Observed-Based Adaptive Fuzzy Decentralized Tracking Control for Switched Uncertain Nonlinear Large-Scale Systems With Dead Zones , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[12]  Debasish Chatterjee,et al.  Input-to-state stability of switched systems and switching adaptive control , 2007, Autom..

[14]  Xi-Ming Sun,et al.  Stability analysis for networked control systems based on average dwell time method , 2010 .

[15]  Yongming Li,et al.  Adaptive output-feedback control design with prescribed performance for switched nonlinear systems , 2017, Autom..

[16]  Emilia Fridman,et al.  Robust Sampled – Data Control of Switched Affine Systems , 2013, IEEE Transactions on Automatic Control.

[17]  Bin Liu,et al.  Input-to-state-KL-stability and criteria for a class of hybrid dynamical systems , 2018, Appl. Math. Comput..

[18]  Jun Zhao,et al.  Adaptive tracking control for uncertain switched systems under asynchronous switching , 2015 .

[19]  Gang Tao,et al.  Adaptive Control Design and Analysis , 2003 .

[20]  Jianbin Qiu,et al.  Diagnostic Observer Design for T–S Fuzzy Systems: Application to Real-Time-Weighted Fault-Detection Approach , 2018, IEEE Transactions on Fuzzy Systems.

[21]  Shaocheng Tong,et al.  Adaptive Neural Networks Prescribed Performance Control Design for Switched Interconnected Uncertain Nonlinear Systems , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[22]  Lijun Long,et al.  Multiple Lyapunov Functions-Based Small-Gain Theorems for Switched Interconnected Nonlinear Systems , 2017, IEEE Transactions on Automatic Control.

[23]  M. Branicky.  Multiple Lyapunov functions and other analysis tools for switched and hybrid systems , 1998, IEEE Trans. Autom. Control..

[24]  Hong Wang,et al.  Actuator fault diagnosis: an adaptive observer-based technique , 1996, IEEE Trans. Autom. Control..

[25]  Hamid Reza Karimi,et al.  Adaptive Output-Feedback Controller Design for Switched Nonlinear Stochastic Systems With a Modified Average Dwell-Time Method , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[26]  Wei Wang,et al.  Integral input-to-state stability for hybrid delayed systems with unstable continuous dynamics , 2012, Autom..

[27]  Jing Na,et al.  Adaptive Control for Nonlinear Pure-Feedback Systems With High-Order Sliding Mode Observer , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[28]  Chaoyang Dong,et al.  Model reference robust adaptive control for a class of uncertain switched linear systems , 2012 .

[29]  Bo Hu,et al.  Stability analysis of switched systems with stable and unstable subsystems: An average dwell time approach , 2001, Int. J. Syst. Sci..

[30]  Anuradha M. Annaswamy,et al.  Adaptive control of nonlinearly parameterized systems with a triangular structure , 2002, Autom..

[31]  Jun Zhao,et al.  Adaptive Output-Feedback Neural Control of Switched Uncertain Nonlinear Systems With Average Dwell Time , 2015, IEEE Transactions on Neural Networks and Learning Systems.

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

[33]  Daniel Liberzon,et al.  Switching in Systems and Control , 2003, Systems & Control: Foundations & Applications.

[34]  R. Carroll,et al.  An adaptive observer for single-input single-output linear systems , 1973 .

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

[36]  C. L. Philip Chen,et al.  Adaptive backstepping-based tracking control of a class of uncertain switched nonlinear systems , 2018, Autom..

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

[38]  Gang Tao,et al.  Adaptive control of piecewise linear systems: The state tracking case , 2012, Proceedings of the 2010 American Control Conference.

[39]  Mohammed M'Saad,et al.  Adaptive observers for a class of uniformly observable systems with nonlinear parametrization and sampled outputs , 2014, Autom..

[40]  Mohammed M'Saad,et al.  Adaptive observers for nonlinearly parameterized class of nonlinear systems , 2009, Autom..

[41]  Daniel Liberzon,et al.  Finite data-rate feedback stabilization of switched and hybrid linear systems , 2014, Autom..

[42]  Jian Li,et al.  Sensor fault detection and estimation for switched power electronics systems based on sliding mode observer , 2019, Appl. Math. Comput..

[43]  Tong Shao-cheng,et al.  Fuzzy adaptive observer backstepping control for MIMO nonlinear systems , 2009 .

[44]  Huaguang Zhang,et al.  Sensor Fault Estimation of Switched Fuzzy Systems With Unknown Input , 2018, IEEE Transactions on Fuzzy Systems.

[45]  Shuzhi Sam Ge,et al.  Stability analysis of discrete-time switched systems via Multi-step multiple Lyapunov-like functions , 2018 .