Robust output feedback tracking control for a class of high-order time-delay nonlinear systems with input dead-zone and disturbances

Liu, Zhenguo; Xue, Lingrong; Sun, Wei; Sun, Zhigang

doi:10.1007/s11071-019-05018-1

Cited by 29 publications

(13 citation statements)

References 42 publications

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“…Remark 2.2. Assumption 2.1 is a new type condition of homogeneous-growth-like because λ j 's given here are much different from the traditional ones employed in [4][5][6][7][8][9][10][11][12][14][15][16][17][18][19][20] where they are recursively defined by λ…”

Section: Problem Formulationmentioning

confidence: 99%

“…However, the distinctive feature of the non-existence and/or the lack of controllability/observability of the Jacobian linearization around the origin, makes the control of HON-Ss challenging. Thanks to the technique of adding a power integrator (API) [3], which develops the traditional backstepping technique by introducing the feedback domination mechanism and contributes to a technological breakthrough in coping with such intrinsic obstacle, a series of results have borne in the asymptotic stabilizing/tracking control of HONSs, for example, refer to [4][5][6][7][8][9][10][11][12] and references therein.…”

Section: Introductionmentioning

confidence: 99%

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A State-scaling Design for Prescribed-time Stabilization of High-order Nonlinear Systems with Input Quantization

Zhang

Gao

Huang

et al. 2021

Preprint

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This article considers global stabilization problem for a kind of uncertain high-order nonlinear systems (HONSs). Two distinct characteristics of this study are that the considered system possesses the input-quantized actuator, and the prescribed time convergence of the system states is wanted. To address these, a novel state-scaling transformation (SST) is firstly introduced to convert the aboriginal prescribed-time stabilization (PTS) to the asymptotic stabilization of the transformed one. Then, under the new framework of equivalent transformation, a quantized state feedback controller that achieves of the performance requirements is developed with the aid of the technique of adding a power integrator (API). Finally, simulation results of a liquid-level system are provided to confirm the efficacy of the proposed approach.

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Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A State-scaling Design for Prescribed-time Stabilization of High-order Nonlinear Systems with Input Quantization

Zhang

Gao

Huang

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…By means of the Nussbaum‐gain technique, Wu et al achieve the global regulation for a class of nonlinear systems with all unmeasured states dependent subject to the external disturbance. The other contributions along this direction can be found in the sampled‐data control, the practical tracking, the homogenous growth, and the time‐delay nonlinear systems, etc.…”

Section: Introductionmentioning

confidence: 99%

Output feedback stabilization for nonholonomic systems with unknown unmeasured states‐dependent growth

Liu

2020

Intl J Robust & Nonlinear

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Summary This paper is concerned with the global output feedback stabilization for a class of nonholonomic systems with unknown parameter, polynomial‐of‐output, and unmeasurable states dependent growth. A dynamic high‐gain observer is first designed to reconstruct the unmeasurable system states and, in addition, to compensate the serious parameter unknowns in nonlinear drifts. Then, we design a compact adaptive controller without invoking the backstepping technique, which reduces the complexity of controller. Additionally, a switching control strategy is employed to overcome the smooth feedback obstacle associated with nonholonomic systems. It is shown that the proposed control laws guarantee that all closed‐loop system states are globally bounded and ultimately converge to zero. The simulation results demonstrate the effectiveness of the proposed control strategy.

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“…Specially, the neural control method [28] and the adaptive fuzzy control method [29] were applied to solve adaptive control problems of nonlinear systems. Recently, the Lyapunov-Krasovskii functional control approach has been used to study the nonlinear tracking control of systems containing dead-zone input and implies that the approach is important for systems with time delay, see [30]. However, this method is not extended to solve the robust stabilization problem for systems involving time delay, dead-zone input, and complex dynamics.…”

Section: Introductionmentioning

confidence: 99%

Global Robust Stabilization Control for Nonlinear Time-Delay Systems with Dead-Zone Input and Complex Dynamics

Xue

Liu

Chen

et al. 2020

Mathematical Problems in Engineering

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This article investigates the robust stabilization problem for nonlinear time-delay systems with dead-zone input and complex dynamics. By flexibly using the inequality technique, the backstepping control method, and skillfully introducing a new Lyapunov–Krasovskii functional, we obtain a stable controller without using unmeasurable signals in the dynamic subsystem. The control system is guaranteed to be stable finally. Two simulation examples are given to verify the control strategy.

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Robust output feedback tracking control for a class of high-order time-delay nonlinear systems with input dead-zone and disturbances

Cited by 29 publications

References 42 publications

A State-scaling Design for Prescribed-time Stabilization of High-order Nonlinear Systems with Input Quantization

A State-scaling Design for Prescribed-time Stabilization of High-order Nonlinear Systems with Input Quantization

Output feedback stabilization for nonholonomic systems with unknown unmeasured states‐dependent growth

Global Robust Stabilization Control for Nonlinear Time-Delay Systems with Dead-Zone Input and Complex Dynamics

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