Adaptive finite‐time control for a class of uncertain high‐order non‐linear systems based on fuzzy approximation

Wang, Honghong; Chen, Bing; Lin, Chong; Sun, Yumei; Wang, Fang

doi:10.1049/iet-cta.2016.0947

Cited by 121 publications

(65 citation statements)

References 48 publications

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“…Remark In other works, the FTS, practical FTS, semiglobally FTS, and fixed‐time stability are studied, respectively. It should be highlighted that the settling time T i , i = 1,2,3,4,5 in other works are as follows:

T_{1} \leq \frac{{false(V false(x_{0} false) false)}^{1 - a_{2}}}{a_{1} ((), 1 - a_{2})} = T_{10}

T_{2} \leq \frac{1}{h_{1} false(1 - h_{2} false)} \ln ((), 1 + \frac{h_{1}}{h_{3}} {false(V false(x_{0} false) false)}^{1 - h_{2}}) = T_{20}

T_{3} \leq \frac{{false(V false(x_{0} false) false)}^{1 - b_{3}}}{b_{1} b_{2} ((), 1 - b_{3})} = T_{30}

T_{4} \leq \frac{1}{false(1 - o_{1} false) o_{2} o_{3}} ([], V^{1 - o_{1}} false(x false(0 false) false) - ((), \frac{o_{4}}{((), 1)}))

…”

Section: Adaptive Practical Preassigned Finite‐time Controller Designmentioning

confidence: 99%

“…Remark 4. In other works, 28,29,39,46,47 the FTS, practical FTS, semiglobally FTS, and fixed-time stability are studied, respectively. It should be highlighted that the settling time T i , i = 1, 2, 3, 4, 5 in other works 28,29,39,46,47 are as follows:…”

Section: Adaptive Practical Preassigned Finite-time Controller Designmentioning

confidence: 99%

“…For the sake of verifying the effectiveness of Theorem 1 proposed in Section 3, a pure-feedback nonlinear system (46) is considered in this section .…”

Section: Simulation Examplementioning

confidence: 99%

See 2 more Smart Citations

Adaptive practical preassigned finite‐time stability for a class of pure‐feedback systems with full state constraints

Yang

Liu

Jing

2019

Intl J Robust & Nonlinear

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Summary This paper focuses on an adaptive practical preassigned finite‐time control problem for a class of unknown pure‐feedback nonlinear systems with full state constraints. Two new concepts, called preassigned finite‐time function and practical preassigned finite‐time stability, are defined. In order to achieve the main result, the pure‐feedback system is first transformed into an affine strict‐feedback nonlinear system based on the mean value theorem. Then, an adaptive preassigned finite‐time controller is obtained based on a modified barrier Lyapunov function and backstepping technique. Finally, simulation examples are exhibited to demonstrate the effectiveness of the proposed scheme.

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T_{1} \leq \frac{{false(V false(x_{0} false) false)}^{1 - a_{2}}}{a_{1} ((), 1 - a_{2})} = T_{10}

T_{2} \leq \frac{1}{h_{1} false(1 - h_{2} false)} \ln ((), 1 + \frac{h_{1}}{h_{3}} {false(V false(x_{0} false) false)}^{1 - h_{2}}) = T_{20}

T_{3} \leq \frac{{false(V false(x_{0} false) false)}^{1 - b_{3}}}{b_{1} b_{2} ((), 1 - b_{3})} = T_{30}

T_{4} \leq \frac{1}{false(1 - o_{1} false) o_{2} o_{3}} ([], V^{1 - o_{1}} false(x false(0 false) false) - ((), \frac{o_{4}}{((), 1)}))

…”

Section: Adaptive Practical Preassigned Finite‐time Controller Designmentioning

confidence: 99%

Section: Adaptive Practical Preassigned Finite-time Controller Designmentioning

confidence: 99%

See 1 more Smart Citation

Adaptive practical preassigned finite‐time stability for a class of pure‐feedback systems with full state constraints

Yang

Liu

Jing

2019

Intl J Robust & Nonlinear

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“…On the other hand, during the past decades, the finite-time control (FTC) of nonlinear systems has become an exciting research field. A great deal of results have also been achieved (see [13]- [18] and references therein) where various nonlinear systems are included such as strict-feedback systems, non-strict feedback systems, stochastic systems, switched systems etc. FTC has been also widely applied to numerous fields such as spacecraft, underwater vehicles, bank-to-turn missiles, mobile robots and network systems, to just name a few.…”

Section: Introduction a Review And Inspirationmentioning

confidence: 99%

Semi-Globally Practical Finite-Time ${H}_{\infty}$ Control of TCSC Model of Power Systems Based on Dynamic Surface Control

et al. 2020

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A less-complex semi-globally practical finite-time stability (SGPFS) result is presented for thyristor-controlled series compensation (TCSC) model of the power system by using dynamic surface control (DSC), H ∞ control and prescribed performance control (PPC) in this paper. Meanwhile, a set of preassigned finite-time functions (PFTF) are chosen. The designed controller makes the rotor angle converge to a predefined arbitrary small area within a finite-time interval and other states of the closed-loop system are bounded. In addition, the proposed design method is simpler and the presented result is also easier to be achieved. Finally, simulation results are given to verify the effectiveness and superiority of the theoretical finding. INDEX TERMS Power systems, TCSC, semi-globally practical finite-time control, dynamic surface control, H ∞ theory.

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“…However, the designed controllers in the aforementioned works [35][36][37][38] depend on the assumptions that the nonlinear functions satisfy some linear growth conditions or can be linearly parameterized, if the nonlinearities are completely unknown in the systems, the control schemes proposed in the aforementioned works [35][36][37][38] does not work. To remove the above restrictive conditions, a novel criterion of semiglobal practical stability in the sense of finite time was first proposed in the work of Wang et al, 39 in which a basic approach was provided for addressing the finite-time adaptive control of deterministic nonlinear system, and many follow-up studies [40][41][42] were discussed based on the stability criterion in the work of Wang et al 39 In practical engineering, the designed control methods are usually required to satisfy the certain quality of performance indexes, such as steady-state error, convergence rate, and maximum overshoot. The so-called prescribed performance was discussed in the works of Bechlioulis and Rovithakis 43,44 for multiple-input and multiple-output nonlinear systems, and its main idea was to make the tracking errors limited by the prescribed performance bounds.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time prescribed performance adaptive fuzzy fault‐tolerant control for nonstrict‐feedback nonlinear systems

Zhang

2019

Adaptive Control & Signal

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This paper focuses on a finite-time adaptive fuzzy control problem for nonstrict-feedback nonlinear systems with actuator faults and prescribed performance. Compared with existing results, the finite-time prescribed performance adaptive fuzzy output feedback control is under study for the first time.By designing performance function, the transient performance of the corresponding controlled variable is maintained in a prescribed area. Combining the finite-time stability criterion with backstepping technique, a feasible adaptive fault-tolerant control scheme is proposed to guarantee that the system output converges to a small neighborhood of the origin in finite time, and the closed-loop signals are bounded. Finally, simulation results are shown to illustrate the effectiveness of the presented control method.

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Adaptive finite‐time control for a class of uncertain high‐order non‐linear systems based on fuzzy approximation

Cited by 121 publications

References 48 publications

Adaptive practical preassigned finite‐time stability for a class of pure‐feedback systems with full state constraints

Adaptive practical preassigned finite‐time stability for a class of pure‐feedback systems with full state constraints

Semi-Globally Practical Finite-Time ${H}_{\infty}$ Control of TCSC Model of Power Systems Based on Dynamic Surface Control

Finite‐time prescribed performance adaptive fuzzy fault‐tolerant control for nonstrict‐feedback nonlinear systems

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