Input-to-state stability for discrete-time nonlinear switched singular systems

Liu, Yunlong; Kao, Yonggui; Karimi, Hamid Reza; Gao, Zairui

doi:10.1016/j.ins.2016.04.013

Cited by 72 publications

(24 citation statements)

References 40 publications

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“…Till now, Q3 is totally solved. Compared with the approach given in the works of Liu et al and Guo and Gao, our methods are more simple and effective because no matrix decomposition is demanded, thus the complexity of getting L i is decreased.…”

Section: Resultsmentioning

confidence: 95%

“…When all or some of the subsystems contain singular perturbation, the switched system is developed into a switched singular system. Such systems are widely used in practical systems including networked control systems, boost, or buck converters . It is noted that the stability, stabilization, and control issues for such systems are more complex than normal ones because the state consistence under switching between subsystems, regularity, impulse elimination (or causality), and stability are under consideration at the same time.…”

Section: Introductionmentioning

confidence: 99%

“…It is noted that the stability, stabilization, and control issues for such systems are more complex than normal ones because the state consistence under switching between subsystems, regularity, impulse elimination (or causality), and stability are under consideration at the same time. By employing the iterative algorithm and average dwell time method, Liu et al investigated the input‐to‐state stability of discrete switched singular systems. By utilizing linear matrix inequality (LMI) approach and average dwell time method, provided sufficient conditions and the average dwell‐time of switching signal such that the switched singular systems with time delays were finite‐time boundedness.…”

Section: Introductionmentioning

confidence: 99%

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Robust nonfragile observer‐based control of switched discrete singular systems with time‐varying delays: A sliding mode control design

Han

Kao

Park

2018

Intl J Robust & Nonlinear

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This paper is devoted to the robust ℋ ∞ sliding mode control issue for a type of switched discrete singular systems with time-varying delays under arbitrary switching. Since the system states are not available, the nonfragile observer strategy is used to generate the state estimation. By designing a novel sliding surface function, which is established on the estimation, new sufficient conditions via linear matrix inequalities are derived so that the closed-loop system is admissible with an ℋ ∞ disturbance attenuation level . Furthermore, sliding mode controllers are given to guarantee the reachability of the quasi-sliding mode and weaken the chattering. At last, examples are presented to verify the validity of our provided approach.

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Section: Resultsmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Robust nonfragile observer‐based control of switched discrete singular systems with time‐varying delays: A sliding mode control design

Han

Kao

Park

2018

Intl J Robust & Nonlinear

Self Cite

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“…Theorem 1. For system (1), under Assumptions 1 to 3, the controller (55), and state observer (15), together with the intermediate control (35) and (36), parameter adaptive laws (48), (49), and (56), it can be guaranteed that all the signals in the closed-loop system are SGUUB in mean square in the sense of probability.…”

Section: Choose the Lyapunov Function Candidate Asmentioning

confidence: 99%

“…Considering the distinct characteristics of switched systems, many scholars from the control field have been studying switched systems in the past decades, and numerous excellent results have been reported in other works. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] For example, Karimi 2 and Chang and Wang 3 have investigated stability problems for switched nonlinear systems in both continuous-time and discrete-time contexts under average dwell time switching and mode-dependent average dwell time switching, respectively. An adaptive neural control design was presented for a class of switched nonlinear systems with uncertain switching signals in the work of Liu and Wu.…”

Section: Introductionmentioning

confidence: 99%

Adaptive fuzzy output‐feedback tracking control for switched stochastic pure‐feedback nonlinear systems

Chang

Wang

Alsaadi

et al. 2019

Adaptive Control & Signal

123

101

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This paper considers the problem of adaptive fuzzy output-feedback tracking control for a class of switched stochastic nonlinear systems in pure-feedback form. Unknown nonlinear functions and unmeasurable states are taken into account. Fuzzy logic systems are used to approximate the unknown nonlinear functions, and a fuzzy observer is designed to estimate the immeasurable states.Based on these methods, an adaptive fuzzy output-feedback control scheme is developed by combining the backstepping recursive design technique and the common Lyapunov function approach. It is shown that all the signals in the closed-loop system are semiglobally uniformly ultimately bounded in mean square in the sense of probability, and the observer errors and tracking errors can be regulated to a small neighborhood of the origin by choosing appropriate parameters. Finally, a simulation result is provided to show the effectiveness of the proposed control method. KEYWORDS adaptive fuzzy control, backstepping, pure-feedback form, state observer, switched stochastic systems Int J Adapt Control Signal Process. 2019;33:1567-1582.wileyonlinelibrary.com/journal/acs

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Novel adaptive controller design for a class of switched nonlinear systems subject to input delay using multi‐dimensional Taylor network

Han

et al. 2021

Adaptive Control & Signal

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For the tracking control problem of a class of switched nonlinear systems with input delay, this article proposes an adaptive tracking control scheme based on multi-dimensional Taylor network (MTN) approach. First, Padé approximation and Laplace transform are employed to overcome the problem of input delay, and a new variable is introduced. Second, the MTNs are used to approximate the uncertain nonlinear structures in the process of controller design via backstepping. The results show that the controller designed in this article can keep all the signals in the closed-loop system are bounded, meanwhile, the output tracking error can be converged to arbitrarily small. It should be pointed out that MTN-based approach is applied to switched nonlinear systems subject to input delay for the first time. Finally, three examples are presented to verify the effectiveness of the proposed control strategy.

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Input-to-state stability for discrete-time nonlinear switched singular systems

Cited by 72 publications

References 40 publications

Robust nonfragile observer‐based control of switched discrete singular systems with time‐varying delays: A sliding mode control design

Robust nonfragile observer‐based control of switched discrete singular systems with time‐varying delays: A sliding mode control design

Adaptive fuzzy output‐feedback tracking control for switched stochastic pure‐feedback nonlinear systems

Novel adaptive controller design for a class of switched nonlinear systems subject to input delay using multi‐dimensional Taylor network

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