Smooth output feedback stabilization of a class of planar switched nonlinear systems under arbitrary switchings

Lin, Xiangze; Chen, Chih Chiang; Qian, Chunjiang

doi:10.1016/j.automatica.2017.03.020

Cited by 54 publications

(37 citation statements)

References 21 publications

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“…In particular, since backstepping technique was extended to a stochastic setting,() increasing efforts toward its stabilization issue have been made and fruitful results have been achieved (see other works() and the references therein). Meanwhile, the study of switched systems has also attracted extensive interests of researchers,() due to their significant applications in modeling many practical systems, such as aircraft multimode control,() chemical processes, and automotive engineering . As a natural extension, the control design of switched stochastic nonlinear systems (SSNSs) has been a burgeoning research topic in recent years.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time stabilization for a class of switched stochastic nonlinear systems with dead‐zone input nonlinearities

Gao

Liu

2018

Intl J Robust & Nonlinear

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Summary This paper studies the finite‐time stabilizing control problem for a class of switched stochastic nonlinear systems (SSNSs) in p‐normal form. The switched systems under consideration possess the powers of different positive rational numbers and the dead‐zone input nonlinearities. Based on the improving finite‐time stability theorem for SSNSs established in this paper, a general framework to address common state feedback for SSNSs is developed by adopting the common Lyapunov function–based adding a power integrator technique. It is proved that the proposed controller renders the trivial solution of the closed‐loop system uniformly finite‐time stable in probability under arbitrary switchings. Finally, simulation results are given to confirm the validity of the proposed approach.

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Section: Introductionmentioning

confidence: 99%

Finite‐time stabilization for a class of switched stochastic nonlinear systems with dead‐zone input nonlinearities

Gao

Liu

2018

Intl J Robust & Nonlinear

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“…In addition, when there is no constraint on system output or equivalently output constraint is infinite, the common tan ‐BLF can be replaced with the quadratic form. In such a circumstance, the result proposed in this paper degenerates into the case discussed in the work of Lin et al without system output constraints.…”

Section: Introductionmentioning

confidence: 63%

“…Remark It is not difficult to see that, almost without any preconditions except for some commonly used ones, the design procedure proposed in this paper is in a systematic and constructive way. In Theorem , for switched nonlinear systems , a common tan ‐BLF and APIA are combined to design state‐feedback controllers and to prevent the violation of output constraints.…”

Section: Main Results: Output Stabilization With An Output Constraintmentioning

confidence: 99%

“…Evidently, comparing with state‐feedback design, output‐feedback stabilization problem in the large is much more challenging because construction of observers is not a trivial work and separation principle usually does not hold for nonlinear systems . For nonlinear systems with constraints, constructing suitable Lyapunov functions to yield stable control design and to handle constraints is an effective way.…”

Section: Introductionmentioning

confidence: 99%

“…Evidently, comparing with state-feedback design, output-feedback stabilization problem in the large is much more challenging because construction of observers is not a trivial work and separation principle usually does not hold for nonlinear systems. [14][15][16][17][18] For nonlinear systems with constraints, constructing suitable Lyapunov functions to yield stable control design and to handle constraints is an effective way. Although some BLFs have been constructed to solve stabilization problem of nonlinear systems with constraints such as logarithm-type BLF 11,19 and tangent-type BLF (tan-BLF), 2,4 as mentioned above, research in this field mainly focuses on the design of state feedback.…”

Section: Introductionmentioning

confidence: 99%

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Output‐feedback stabilization for planar output‐constrained switched nonlinear systems

Lin

Park

2020

Intl J Robust & Nonlinear

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Summary In this paper, globally asymptotical stabilization problem for a class of planar switched nonlinear systems with an output constraint via smooth output feedback is investigated. To prevent output constraint violation, a common tangent‐type barrier Lyapunov function (tan‐BLF) is developed. Adding a power integrator approach (APIA) is revamped to systematically design state‐feedback stabilizing control laws incorporating the common tan‐BLF. Then, based on the designed state‐feedback controllers and a constructed common nonlinear observer, smooth output‐feedback controllers, which can make the system output meet the predefined constraint during operation, are proposed to deal with the globally asymptotical stabilization problem of planar switched nonlinear systems under arbitrary switchings. A numerical example is employed to verify the proposed method.

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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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Smooth output feedback stabilization of a class of planar switched nonlinear systems under arbitrary switchings

Cited by 54 publications

References 21 publications

Finite‐time stabilization for a class of switched stochastic nonlinear systems with dead‐zone input nonlinearities

Finite‐time stabilization for a class of switched stochastic nonlinear systems with dead‐zone input nonlinearities

Output‐feedback stabilization for planar output‐constrained switched nonlinear systems

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

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