Dissipativity for Discrete-Time Switched Positive Delay Systems: A Dwell-Time-Dependent Linear Copositive Storage Functional Method

Wang, Peng; Sang, Hong; Ma, Dan

doi:10.1109/tsmc.2023.3242276

Cited by 12 publications

(4 citation statements)

References 51 publications

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“…thus we can conclude that the effect of 𝜗(t) on tracking error e(t) is attenuated below a desired level 𝛾 according to (6). Therefore, the L 1 -gain property of system ( 5) is ensured.…”

Section: -Gain Performancementioning

confidence: 83%

“…Recently, the study of such class of systems has been the goal of many research efforts. [5][6][7] For instance, the stability analysis of switched positive systems with different switching strategies has been discussed in References 8-12.…”

Section: Introductionmentioning

confidence: 99%

“…As a consequence, a more comprehensive system model is taken into account, that is, the so‐called switched positive systems. Recently, the study of such class of systems has been the goal of many research efforts 5‐7 . For instance, the stability analysis of switched positive systems with different switching strategies has been discussed in References 8‐12.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Almost output tracking control for switched positive systems: A hysteresis switching strategy

Wang

Zhang

Sang

et al. 2023

Intl J Robust & Nonlinear

Self Cite

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This work studies the almost output tracking control problem via the co-design of controllers and a switching strategy for switched positive systems. For devising a hysteresis switching strategy, the nonnegative state space is divided into some subdomains, where each subdomain corresponds to an activated subsystem. The main advantage of the proposed methodology is that the switching frequency can be reduced in contrast to the min-switching based designs, and the almost output tracking control problem is allowed to be unsolvable for each subsystem. The almost output tracking criteria, based on multiple linear copositive Lyapunov functions are established in linear vector inequalities form, which ensures asymptotic convergence of the output tracking error to zero, the positivity as well as a prescribed L 1 -gain index in presence of disturbances. Finally, the theoretical findings are applied to the output tracking control of the boost converter circuit.

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Section: -Gain Performancementioning

confidence: 83%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Almost output tracking control for switched positive systems: A hysteresis switching strategy

Wang

Zhang

Sang

et al. 2023

Intl J Robust & Nonlinear

Self Cite

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“…The simulation results are shown in Figure 6. From the error tracking curve, the saturation function is not significantly improved in control effect compared with the sign function [40][41][42][43]. Whether it is the saturation function or the sign function, both can lead to chattering issues in switched systems.…”

Section: Comparative Simulationsmentioning

confidence: 97%

Adaptive Neural Network Global Fractional Order Fast Terminal Sliding Mode Model-Free Intelligent PID Control for Hypersonic Vehicle’s Ground Thermal Environment

Lv,

Zhang,

Bai

et al. 2023

Aerospace

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In this paper, an adaptive neural network global fractional order fast terminal sliding mode model-free intelligent PID control strategy (termed as TDE-ANNGFOFTSMC-MFIPIDC) is proposed for the hypersonic vehicle ground thermal environment simulation test device (GTESTD). Firstly, the mathematical model of the GTESTD is transformed into an ultra-local model to ensure that the control strategy design process does not rely on the potentially inaccurate dynamic GTESTD model. Meanwhile, time delay estimation (TDE) is employed to estimate the unknown terms of the ultra-local model. Next, a global fractional-order fast terminal sliding mode surface (GFOFTSMS) is introduced to effectively reduce the estimation error generated by TDE. It also eliminates arrival time, accelerates the convergence speed of the sliding phase, guarantees finite time arrival, avoids the singularity phenomenon, and bolsters robustness. Then, as the upper bound of the disturbance error is unknown, an adaptive neural network (ANN) control is designed to approximate the upper bound of the estimation error closely and mitigate the chattering phenomenon. Furthermore, the stability of the control system and the convergence time are proven by the Lyapunov stability theorem and are calculated, respectively. Finally, simulation results are conducted to validate the efficacy of the proposed control strategy.

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Finite‐time L₁ bumpless transfer control for switched positive delayed systems: A state‐dependent limited frequency switching scheme

Wang,

Lin,

Zhang

et al. 2024

Intl J Robust & Nonlinear

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This work is concerned with the bumpless transfer control issue for switched positive delayed systems on finite horizons. A bumpless transfer input scheme and a state‐dependent limited frequency switching scheme, induced by the transient control input discontinuities during controller switching and by the frequent switching for multiple subsystems, respectively, are jointly introduced. The main advantages of the presented schemes are that the amplitude of the control input discontinuities and the frequent switches are all reduced by the dual design of bumpless transfer controllers for subsystems and a state‐dependent limited frequency switching scheme. By utilizing the multiple linear copositive Lyapunov functionals, sufficient conditions are also offered so as to achieve the desirable closed‐loop performances, including positivity, finite‐time boundedness, bumpless transfer property and a prescribed ‐gain property. Finally, a practical example is borrowed which validates the proposed schemes.

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Dissipativity for Discrete-Time Switched Positive Delay Systems: A Dwell-Time-Dependent Linear Copositive Storage Functional Method

Cited by 12 publications

References 51 publications

Almost output tracking control for switched positive systems: A hysteresis switching strategy

Almost output tracking control for switched positive systems: A hysteresis switching strategy

Adaptive Neural Network Global Fractional Order Fast Terminal Sliding Mode Model-Free Intelligent PID Control for Hypersonic Vehicle’s Ground Thermal Environment

Finite‐time L₁ bumpless transfer control for switched positive delayed systems: A state‐dependent limited frequency switching scheme

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Dissipativity for Discrete-Time Switched Positive Delay Systems: A Dwell-Time-Dependent Linear Copositive Storage Functional Method

Cited by 12 publications

References 51 publications

Almost output tracking control for switched positive systems: A hysteresis switching strategy

Almost output tracking control for switched positive systems: A hysteresis switching strategy

Adaptive Neural Network Global Fractional Order Fast Terminal Sliding Mode Model-Free Intelligent PID Control for Hypersonic Vehicle’s Ground Thermal Environment

Finite‐time L1 bumpless transfer control for switched positive delayed systems: A state‐dependent limited frequency switching scheme

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Finite‐time L₁ bumpless transfer control for switched positive delayed systems: A state‐dependent limited frequency switching scheme