Adaptive Neural Output-Feedback Controller Design of Switched Nonlower Triangular Nonlinear Systems With Time Delays

Niu, Ben; Wang, Ding; Liu, Ming; Song, X.; Wang, Huanqing; Duan, Peiyong

doi:10.1109/tnnls.2019.2952108

Cited by 103 publications

(51 citation statements)

References 58 publications

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“…Furthermore, by applying Assumption 1 and the virtual controller in (18) with i = 1, it is easy to show…”

Section: Controller Design Procedures and Stability Analysismentioning

confidence: 99%

“…Theorem 1 : Taking into account the pure-feedback stochastic closed-loop nonlinear switched system with nonlower triangular structure and input saturation, under the virtual controller (18), the actual controller (19), and the adaptive law (22), the neural adaptive tracking scheme can ensure that all the signals in the closed-loop system are bounded in probability. Particularly, Giving any initial conditions z j (0) andθ (0) ≥ 0 belonging to Ω 0 (where Ω 0 is a compact set, which is selected suitably), the error z j (j = 1, 2, • • • , n) and θ remain in a bounded closed set Ω Z shown as…”

Section: Controller Design Procedures and Stability Analysismentioning

confidence: 99%

“…Numerous practices, however, cannot keep the stability under the free switched signals, and may be stable under the limited switched signals. Although many control problems of the switched nonlinear system have been studied till now, and a great number of outstanding accomplishments have been published (see, for instance, [12]- [18] and the references therein), how to construct the appropriate switched signal is still a challenge in the procedure of controller design.…”

Section: Introductionmentioning

confidence: 99%

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Intelligent Adaptive Tracking Controller Design for Stochastic Switched Pure-Feedback Nonlinear Systems With Input Saturation and Non-Lower Triangular Structure

Liu

et al. 2020

IEEE Access

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This paper concentrates on the design of intelligent adaptive tracking controller for stochastic switched nonlinear pure-feedback systems with input saturation and non-lower triangular structure. It needs to be emphasized that both the issues of pure-feedback structure and non-differential saturation nonlinearity are involved in the studied system. With the help of the mean-value theorem, a novel intelligent adaptive tracking controller is developed in this work to overcome the difficulty resulted from pure-feedback structure, and the inherent property of Gaussian functions is utilized to handle functions that are unknown and include all state variables. Moreover, through the universal intelligent approximation technology, a novel control strategy is constructed under the framework of backstepping, which guarantees that the tracking error can converge to a small neighborhood near the origin in the sense of mean quartic value and all signals of the nonlinear closed-loop system can be bounded in probability. Eventually, the effectiveness of the presented scheme is further illustrated by the simulation of two practical examples. INDEX TERMS Stochastic switched nonlinear systems; non-lower triangular structure; pure-feedback structure; input saturation; intelligent adaptive tracking control.

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“…Furthermore, by applying Assumption 1 and the virtual controller in (18) with i = 1, it is easy to show…”

Section: Controller Design Procedures and Stability Analysismentioning

confidence: 99%

Section: Controller Design Procedures and Stability Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Intelligent Adaptive Tracking Controller Design for Stochastic Switched Pure-Feedback Nonlinear Systems With Input Saturation and Non-Lower Triangular Structure

Liu

et al. 2020

IEEE Access

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“…Remark 7. More recently, the design problems of adaptive controller are studied for uncertain nonlinear systems with diverse structures, such as lower triangular structure [37], nonlower-triangular structure [38,39], and nonstrictfeedback structure [40,41]. Inspired by these interesting and pioneering works, the event-triggered impulsive control scheme designed and the approach adopted in this paper may be extended in these areas.…”

Section: Assumptionmentioning

confidence: 99%

Input-to-State Stabilization of a Class of Uncertain Nonlinear Systems via Observer-Based Event-Triggered Impulsive Control

Xing

Zhang

2020

Complexity

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This article concerns the problem of input-to-state stabilization for a group of uncertain nonlinear systems equipped with nonabsolutely available states and exogenous disturbances. To appropriately cope with these partially measurable state variables as well as dramatically minimize controller updating burden and communication costs, an event-triggered mechanism is skillfully devised and an observer-based impulsive controller with the combination of sample control is correspondingly presented. By resorting to the iterative method and Lyapunov technology, some sufficient criteria are established to guarantee the input-to-state stability of the newly uncertain controlled system under the employed controller, in which an innovative approximation condition as to the uncertain term is proposed and the linear matrix inequality technique is utilized for restraining sophisticated parameter uncertainties. Furthermore, the Zeno behavior in the proposed event-triggered strategy is excluded. The control gains and event-triggered mechanism parameters are conjointly designed by resolving some inequalities of linear matrix. Eventually, the availability and feasibility of the achieved theoretical works are elucidated by two simulation examples.

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“…e problem of adaptive tracking control for switched uncertain nonlinear systems with unmodeled dynamics is solved by adaptive control scheme. To deal with the problem of controller design for uncertain switched time-delay nonlinear systems with non-lower-triangular structure, the adaptive neural output-feedback controller is proposed in [17]. Neural networks, adaptive back-stepping technique, and variable separation method are applied to construct the controller.…”

Section: Introductionmentioning

confidence: 99%

Integrated Fault Detection and Fault Tolerant Control for Switched Systems with Asynchronous Switching

Zhu

Cheng

et al. 2020

Mathematical Problems in Engineering

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The problem of integrated fault detection and fault tolerant control for switched systems with asynchronous switching is focused on in this paper. Based on the switched model, the inherent asynchronous switching is taken into consideration. The asynchronous switching means that the switching of filters/controllers will always lag behind the switching of modes, which will degrade the performance of the closed-loop system. The Lyapunov functional method and mode-dependent average dwell time method are combined for the analysis of the finite-time stability of the switched system. The properties of each subsystem are taken into consideration, which are less conservative. To achieve optimal performance, the filters and controllers are designed simultaneously. The parameters of filters and controllers are given in the form of linear matrix inequalities. In the end, the numerical example is given to illustrate the effectiveness of the proposed method.

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Adaptive Neural Output-Feedback Controller Design of Switched Nonlower Triangular Nonlinear Systems With Time Delays

Cited by 103 publications

References 58 publications

Intelligent Adaptive Tracking Controller Design for Stochastic Switched Pure-Feedback Nonlinear Systems With Input Saturation and Non-Lower Triangular Structure

Intelligent Adaptive Tracking Controller Design for Stochastic Switched Pure-Feedback Nonlinear Systems With Input Saturation and Non-Lower Triangular Structure

Input-to-State Stabilization of a Class of Uncertain Nonlinear Systems via Observer-Based Event-Triggered Impulsive Control

Integrated Fault Detection and Fault Tolerant Control for Switched Systems with Asynchronous Switching

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