Fuzzy adaptive event-triggered output feedback control for nonlinear systems with tracking error constrained and unknown dead-zone

ABSTRACT In this paper, an adaptive fuzzy event-triggered output feedback control scheme is studied for a class of non-strict feedback systems with tracking error constrained and unknown dead-zone. Fuzzy logical systems (FLSs) are employed to solve the uncertainties of the controlled plant, and the immeasurable states are estimated by employing the fuzzy observer. In the designed observer, to compensate for the effect of unknown dead-zone by invoking the known designed event-triggered input signal, an adaptive parameter is designed. Furthermore, due to event-triggered control (ETC) places a great burden on the computing space, the dynamic surface control (DSC) technique is used to solve the problem of ‘explosion of complexity’ in each step, and the simplified barrier Lyapunov function (SBLF) is utilised to restrict the tracking error within the prescribed boundaries. Consequently, the designed parameter adaptive laws and event-triggered controller can ensure that all signals of the closed-loop system are semi-globally uniformly ultimately bounded (SGUUB). Ultimately, two numerical simulation examples are provided to illustrate the effectiveness of the proposed event-triggered control theory.

[1]  Chong Lin,et al.  Adaptive event-triggered dynamic output feedback H ∞ control for networked T-S fuzzy systems , 2020 .

[2]  Mohammad Shahrokhi,et al.  Observer-based adaptive fuzzy controller for nonlinear systems with unknown control directions and input saturation , 2017, Fuzzy Sets Syst..

[3]  Abdesselem Boulkroune,et al.  Fuzzy Adaptive State-Feedback Control Scheme of Uncertain Nonlinear Multivariable Systems , 2019, IEEE Transactions on Fuzzy Systems.

[4]  Lijie Wang,et al.  Adaptive fuzzy tracking control for a class of pure-feedback nonlinear systems with time-varying delay and unknown dead zone , 2017, Fuzzy Sets Syst..

[5]  Shaocheng Tong,et al.  Observer-Based Adaptive Fuzzy Backstepping Control for a Class of Stochastic Nonlinear Strict-Feedback Systems , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[6]  Shaocheng Tong,et al.  Adaptive fuzzy switched control design for uncertain nonholonomic systems with input nonsmooth constraint , 2016, Int. J. Syst. Sci..

[7]  Shaocheng Tong,et al.  Observer-based fuzzy adaptive fault control for a class of MIMO nonlinear systems , 2017, Int. J. Syst. Sci..

[8]  Yongming Li,et al.  Adaptive Neural Network Output Feedback Control for Stochastic Nonlinear Systems With Unknown Dead-Zone and Unmodeled Dynamics , 2014, IEEE Transactions on Cybernetics.

[9]  Lijie Wang,et al.  Adaptive Fuzzy Control for Nonstrict Feedback Systems With Unmodeled Dynamics and Fuzzy Dead Zone via Output Feedback , 2017, IEEE Transactions on Cybernetics.

[10]  Zhouhua Peng,et al.  Predictor-Based Neural Dynamic Surface Control for Uncertain Nonlinear Systems in Strict-Feedback Form , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[11]  C. L. Philip Chen,et al.  Adaptive Fuzzy Dynamic Surface Control of Nonlinear Constrained Systems With Unknown Virtual Control Coefficients , 2020, IEEE Transactions on Fuzzy Systems.

[12]  Shaocheng Tong,et al.  Event-triggered adaptive fuzzy tracking control of nonlinear MIMO systems , 2018, Int. J. Syst. Sci..

[13]  Qun Sun,et al.  Adaptive Fuzzy Control of Strict-Feedback Nonlinear Time-Delay Systems with Full-State Constraints , 2018, Int. J. Fuzzy Syst..

[14]  Jin S. Lee,et al.  A class of hierarchical fuzzy systems with constraints on the fuzzy rules , 2005, IEEE Transactions on Fuzzy Systems.

[15]  Bing Chen,et al.  Neural-Based Adaptive Output-Feedback Control for a Class of Nonstrict-Feedback Stochastic Nonlinear Systems , 2015, IEEE Transactions on Cybernetics.

[16]  Zhi Liu,et al.  Event-Triggered Adaptive Fuzzy Tracking Control With Guaranteed Transient Performance for MIMO Nonlinear Uncertain Systems , 2019, IEEE Transactions on Cybernetics.

[17]  Jihong Zhu,et al.  Online Performance-Based Adaptive Fuzzy Dynamic Surface Control for Nonlinear Uncertain Systems Under Input Saturation , 2019, IEEE Transactions on Fuzzy Systems.

[18]  Shaocheng Tong,et al.  Robust adaptive fuzzy filters output feedback control of strict-feedback nonlinear systems , 2010, Int. J. Appl. Math. Comput. Sci..

[19]  Xiaoping Liu,et al.  Approximation-Based Adaptive Fuzzy Tracking Control for a Class of Nonstrict-Feedback Stochastic Nonlinear Time-Delay Systems , 2015, IEEE Transactions on Fuzzy Systems.

[20]  Hansheng Wu.  Simple adaptive robust output tracking control schemes of uncertain parametric strict-feedback non-linear systems with unknown input saturations , 2018 .

[21]  Xiaomei Li,et al.  Fuzzy adaptive dynamic surface control for strict-feedback nonlinear systems with unknown control gain functions , 2020, Int. J. Syst. Sci..

[22]  Qi Zhou,et al.  Observer-Based Event-Triggered Adaptive Decentralized Fuzzy Control for Nonlinear Large-Scale Systems , 2019, IEEE Transactions on Fuzzy Systems.

[23]  Jing Zhang,et al.  Finite-Time Adaptive Fuzzy Control for Nonlinear Systems With Full State Constraints , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[24]  Jianhui Wang,et al.  Event-Triggered Fuzzy Adaptive Control for a Class of Uncertain Nonlinear Systems With Input Dead-Zone , 2020, IEEE Access.

[25]  Guanyu Lai,et al.  Event-triggered robust adaptive control for uncertain nonlinear systems preceded by actuator dead-zone , 2018, Nonlinear Dynamics.

[26]  Bing Chen,et al.  Adaptive Fuzzy Tracking Control for a Class of MIMO Nonlinear Systems in Nonstrict-Feedback Form , 2015, IEEE Transactions on Cybernetics.

[27]  Shaocheng Tong,et al.  Adaptive Fuzzy Tracking Control Design for SISO Uncertain Nonstrict Feedback Nonlinear Systems , 2016, IEEE Transactions on Fuzzy Systems.

[28]  Ling Zhao,et al.  Adaptive event-triggered fuzzy tracking control of nonlinear systems with dead-zones and unmeasurable states , 2020, Int. J. Syst. Sci..

[29]  B. Porter,et al.  Synthesis of control policies for economic models: a continuous-time multiplier model† , 1970 .

[30]  Jun Yoneyama,et al.  Robust guaranteed cost control of uncertain fuzzy systems under time-varying sampling , 2011, Appl. Soft Comput..

[31]  Shaocheng Tong,et al.  Observer-Based Adaptive Fuzzy Tracking Control for Strict-Feedback Nonlinear Systems With Unknown Control Gain Functions , 2020, IEEE Transactions on Cybernetics.

[32]  Shaocheng Tong,et al.  Observer-based adaptive fuzzy dynamic surface control of non-linear non-strict feedback system , 2017 .

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

[34]  Guang-Hong Yang,et al.  Fuzzy Adaptive Fault-Tolerant Control for Uncertain Nonlinear Systems With Unknown Dead-Zone and Unmodeled Dynamics , 2019, IEEE Transactions on Fuzzy Systems.

[35]  Shaocheng Tong,et al.  Observer-based finite-time fuzzy adaptive control for MIMO non-strict feedback nonlinear systems with errors constraint , 2019, Neurocomputing.