Finite-time output feedback stabilization of planar switched systems with/without an output constraint

Lin, Xiangze; Chen, Chih Chiang

doi:10.1016/j.automatica.2021.109728

Cited by 33 publications

(12 citation statements)

References 26 publications

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“…[11][12][13] As for finite-time stabilization of switched systems, there are also many works have been reported. [14][15][16][17][18][19] In Reference 14, homogeneous system method has been used to discuss finite-time stability of uncertain switched systems. Recently, finite-time stabilization of p-normal form switched systems has got a lot of attentions, such as References 15-19.…”

Section: Introductionmentioning

confidence: 99%

“…36,38,39 And then, BLF is extensively used in feedback control design of constrained switched systems. 18,19,37,[40][41][42] But, the current research is still limited by system structure or powers as mentioned earlier and needs badly to be carried forward.…”

Section: Introductionmentioning

confidence: 99%

“…The subjects have been treated with depth and much effective design techniques have been paid particular attention 11‐13 . As for finite‐time stabilization of switched systems, there are also many works have been reported 14‐19 . In Reference 14, homogeneous system method has been used to discuss finite‐time stability of uncertain switched systems.…”

Section: Introductionmentioning

confidence: 99%

“…In Reference 14, homogeneous system method has been used to discuss finite‐time stability of uncertain switched systems. Recently, finite‐time stabilization of

p

‐normal form switched systems has got a lot of attentions, such as References 15‐19. In the above‐mentioned references, backstepping‐like method and adding a power integrator (AAPI) technique have been commonly used to design controllers and construct Lyapunov functions simultaneously.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, the barrier Lyapunov function (BLF) approach was proposed to investigate the control problem of constrained nonlinear systems 36,38,39 . And then, BLF is extensively used in feedback control design of constrained switched systems 18,19,37,40‐42 . But, the current research is still limited by system structure or powers as mentioned earlier and needs badly to be carried forward.…”

Section: Introductionmentioning

confidence: 99%

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Finite‐time non‐smooth stabilization of cascade output‐constrained switched systems

Lin

Huang

Park

2022

Intl J Robust & Nonlinear

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Finite‐time non‐smooth stabilization of cascade output‐constrained switched systems via state feedback is investigated. The cascade switched systems consist of subsystems in general form with zero dynamics and mixed powers taken into account. To deal with the finite‐time stabilization problem of such kind of switched systems, some mild assumptions, input‐to‐state stability property of zero dynamics, an appropriate growth rate assumption on nonlinear terms and some well‐known conditions for small signals, have been imposed on subsystems. Then, state feedback controllers are constructed first by revamping adding a power integrator technique and finite‐time stability analysis of the resultant closed‐loop switched systems are implemented by the deliberately constructed tangent‐type barrier Lyapunov function (Tan$$ {T}_{an} $$‐BLF). Meanwhile, the output constraint of switched systems is also implicitly guaranteed by the Tan$$ {T}_{an} $$‐BLF. Switched systems discussed in this article can encompass almost all p$$ p $$‐normal ones because of the inclusion of zero dynamics, mixed powers, and the homogenous upper bounded assumption on nonlinear terms. And, the method proposed in this article operates in a unified framework to tackle finite‐time stabilization of switched systems because the constructed common Tan$$ {T}_{an} $$‐BLF degenerates into a quadratic function when the output constraint tends to infinity. Simulations are carried out to show the efficiency of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…In Reference 14, homogeneous system method has been used to discuss finite‐time stability of uncertain switched systems. Recently, finite‐time stabilization of

p

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Finite‐time non‐smooth stabilization of cascade output‐constrained switched systems

Lin

Huang

Park

2022

Intl J Robust & Nonlinear

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Observer‐based finite‐time H_∞ control of Itô‐type stochastic nonlinear systems

Wang

Zhao

Qiu

2022

Asian Journal of Control

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This paper investigates the finite‐time H∞$$ {H}_{\infty } $$ control of Itô‐type stochastic nonlinear systems. Considering the transient performance and anti‐interference ability within a given limited time interval, the control strategy of stochastic nonlinear systems is researched. A new sufficient condition for mean‐square finite‐time boundedness for stochastic nonlinear system is developed. Due to the state components are not available, a state observer is designed. Based on the estimated state, an H∞$$ {H}_{\infty } $$ controller is proposed and Linear Matrix Inequality (LMI) conditions are given, which not only guarantee the mean‐square finite‐time boundedness but also satisfy the corresponding H∞$$ {H}_{\infty } $$ performance. Finally, two examples are given to demonstrate the effectiveness of the results.

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Finite‐time stabilization of output‐constrained planar switched systems via output feedback

Wei

Huang

Lin

et al. 2022

Asian Journal of Control

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Finite-time stabilization (FTS) problem of output-constrained planar switched systems via output feedback is investigated in this paper. State feedback control laws are constructed in a systematic way by combining the revamped adding a power integrator technique (APIT) with the elaborately designed logarithm-type barrier Lyapunov function (BLF). By merging the constructed variable-gain switched observers, finite-time output-feedback stabilization, then, is achieved with the output constraint meets too. At the end, simulations are presented to show the effectiveness of the proposed method.

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Finite-time output feedback stabilization of planar switched systems with/without an output constraint

Cited by 33 publications

References 26 publications

Finite‐time non‐smooth stabilization of cascade output‐constrained switched systems

Finite‐time non‐smooth stabilization of cascade output‐constrained switched systems

Observer‐based finite‐time H_∞ control of Itô‐type stochastic nonlinear systems

Finite‐time stabilization of output‐constrained planar switched systems via output feedback

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Finite-time output feedback stabilization of planar switched systems with/without an output constraint

Cited by 33 publications

References 26 publications

Finite‐time non‐smooth stabilization of cascade output‐constrained switched systems

Finite‐time non‐smooth stabilization of cascade output‐constrained switched systems

Observer‐based finite‐time H∞ control of Itô‐type stochastic nonlinear systems

Finite‐time stabilization of output‐constrained planar switched systems via output feedback

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Observer‐based finite‐time H_∞ control of Itô‐type stochastic nonlinear systems