The further result on global practical tracking for high-order uncertain nonlinear systems

Yan, Xuehua; Liu, Yungang

doi:10.1007/s11424-012-0270-7

Cited by 9 publications

(16 citation statements)

References 14 publications

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“…Remark 2.1: It should be noticed that the output feedback tracking control problem for nonlinear systems with parametric uncertainties and unknown control directions has been mainly studied in Refs. [9][10][11][12][13][14][15][16]. However, by the introduction of stochastic factors, the output feedback tracking control problem for the stochastic nonlinear system is first studied in this paper.…”

Section: Assumption 22mentioning

confidence: 99%

“…and then, we can obtain the trajectory of (16) along with the Ito differentiation for system (13) as follows:…”

Section: Boundedness Analysis Of System States and Gainmentioning

confidence: 99%

“…[8], a robust cascade controller including an attitude controller and a position controller is proposed based on the hierarchical control scheme and the robust compensating technique. Furthermore, based on the needs of practical applications, output feedback tracking control for complex nonlinear systems has produced more results in the theoretical field [9][10][11][12][13][14][15][16]. According to the existing papers, control theory research has mainly focused on two kinds of output feedback tracking controls for a series of studies: the first category is asymptotic output feedback tracking control and this applies to the object system which states that information and reference tracking trajectory information are sufficient [17,18] and the second category is the practical output feedback tracking control problem.…”

Section: Introductionmentioning

confidence: 99%

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Practical tracking control for stochastic nonlinear systems with polynomial function growth conditions

Guo

2019

Automatika

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This paper mainly focuses on an output feedback practical tracking controller design for a class of stochastic nonlinear systems with polynomial function growth conditions. Mostly, there are some studies on an output feedback tracking control problem for general nonlinear systems with polynomial function growth conditions in existing achievements. Moreover, we extend it to stochastic nonlinear systems and construct an output feedback practical tracking controller based on dynamic and static phase combined, ensuring that all the states of the stochastic nonlinear system are bounded and the system tracking error can be made arbitrarily small after some large enough time. Finally, a simulation example is provided to illustrate the efficiency of the theoretical results.

show abstract

Section: Assumption 22mentioning

confidence: 99%

“…and then, we can obtain the trajectory of (16) along with the Ito differentiation for system (13) as follows:…”

Section: Boundedness Analysis Of System States and Gainmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Practical tracking control for stochastic nonlinear systems with polynomial function growth conditions

Guo

2019

Automatika

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“…From Assumption 3, we can clearly see that the unknown parameter > 0 appears in the product term in the front of unmeasurable states ( 2 , ⋅ ⋅ ⋅ , ), which leads to the fact that the conventional observer design method difficultly works because the constructed observer contains initial states of the system which contains unknown parameters such that the traditional method is no longer applicable. Inspired by [21,22], this paper develops a new type of output tracking controller which consists of two dynamic factors, and it will be described in detail below.…”

Section: System Analysis and Output Feedback Controller Designmentioning

confidence: 99%

“…Correspondingly, is given reference trajectory, and the nonlinear term ( ) satisfies the Lipschitz condition, whose initial value is (0) = 0. Some related papers have studied the practical output feedback control problem for nonlinear system (1) (see [17][18][19][20][21][22]). In [17,18], the system nonlinear term satisfies lower triangular structure and is limited to the following order of polynomial function growth conditions:…”

Section: Introductionmentioning

confidence: 99%

Adaptive Output Feedback Tracking Controller Design of Stochastic Nonlinear Systems with Parameter Uncertainty for Polynomial Function Growth Conditions

Guo

2018

Mathematical Problems in Engineering

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This paper mainly focuses on output feedback practical tracking controller design for stochastic nonlinear systems with polynomial function growth conditions. Mostly, there are some studies on output feedback tracking control problem for general nonlinear systems with parametric certainty in existing achievements. Moreover, we extend it to stochastic nonlinear systems with parametric uncertainty and system nonlinear terms are assumed to satisfy polynomial function growth conditions which are more relaxed than linear growth conditions or power growth conditions. Due to the presence of unknown parametric uncertainty, an output feedback practical tracking controller with dynamically updated gains is constructed explicitly so that all the states of the closed-loop systems are globally bounded and the tracking error belongs to arbitrarily small interval after some positive finite time. An example illustrates the efficiency of the theoretical results.

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Event‐triggered practical tracking control via switching for a class of uncertain high‐order nonlinear systems with unknown input powers and control directions

Li,

Liang,

et al. 2024

Intl J Robust & Nonlinear

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This article is devoted to the event‐triggered practical tracking control for a class of high‐order nonlinear systems with serious uncertainties. Remarkably, the serious uncertainties are greatly reflected from the unknown control directions and input powers which give rise to essential obstacles in control design and hence lead to incapability of the traditional control methods on this topic. To solve the control problem, a novel switching event‐triggered control scheme is proposed by a skillful incorporation of logic‐based switching mechanism into the event‐triggered one. Specifically, two pivotal events are smartly chosen to give the event‐triggered mechanism for the determination of the sampling times. In particular, one of the events is used to give the switching varying mechanism, by which the controller parameters are respectively switched in two groups of sequences which are carefully chosen for the compensation of serious uncertainties. Under the proposed switching event‐triggered mechanism, a state‐feedback controller is designed which guarantees that all the signals of the closed‐loop system are bounded while system output practically tracks the reference signal, along with a finite number of switching of controller parameters as well as the exclusion of the Zeno phenomenon. Finally, simulation examples are provided to validate the effectiveness of the proposed theoretical results.

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The further result on global practical tracking for high-order uncertain nonlinear systems

Cited by 9 publications

References 14 publications

Practical tracking control for stochastic nonlinear systems with polynomial function growth conditions

Practical tracking control for stochastic nonlinear systems with polynomial function growth conditions

Adaptive Output Feedback Tracking Controller Design of Stochastic Nonlinear Systems with Parameter Uncertainty for Polynomial Function Growth Conditions

Event‐triggered practical tracking control via switching for a class of uncertain high‐order nonlinear systems with unknown input powers and control directions

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