Event-triggered Control of Positive Switched Systems with Actuator Saturation and Time-delay

Zhang, Junfeng; Liu, Laiyou; Fu, Shizhou; Li, Shuo

doi:10.1007/s11633-020-1245-0

Cited by 4 publications

(5 citation statements)

References 46 publications

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“…However, Theorem 1 has advantages in developing it for other issues of positive systems such as event‐triggered PID control, PID control of uncertain positive systems, and so on. Event‐triggered control of positive switched systems was studied in [34], where the control gain matrices are divided into the sum of non‐positive and non‐negative parts. In order to obtain the positivity and stability conditions, the

e(k)

in Equation (11) is transformed into (14) with respect to

x(k)

.…”

Section: Resultsmentioning

confidence: 99%

“…In order to obtain the positivity and stability conditions, the

e(k)

in Equation (11) is transformed into (14) with respect to

x(k)

. If the gain matrices were not designed as the form in [34], it is hard to guarantee the positivity owing to the existence of the error term

e(k)

. The literature [35] considered the synthesis of uncertain positive systems and uncertain positive switched systems, respectively.…”

Section: Resultsmentioning

confidence: 99%

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Linear programming‐based proportional‐integral‐derivative control of positive systems

Zhou

Zhang

Jia

et al. 2023

IET Control Theory & Appl

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This paper investigates the proportional‐integral‐derivative (PID) control of positive systems in the discrete‐time case. First, a tuning parameter is introduced to construct the proportional‐integral‐derivative control framework of positive systems. The proportional‐integral‐derivative control problem is thus transformed into the control synthesis of positive systems with time‐delay. By virtue of a matrix decomposition approach, the gain matrices of proportional‐integral‐derivative controller are designed. Using co‐positive Lyapunov functions and linear programming, the positivity and stability of positive systems are achieved under the designed proportional‐integral‐derivative controller. Then, the proportional‐integral‐derivative control of positive systems with reference signal is solved. The main contribution of this paper lies in that linear programming associated to the matrix decomposition approach is first presented to handle the proportional‐integral‐derivative control of positive systems. Finally, two illustrative examples are provided to verify the effectiveness of the proposed design.

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e(k)

in Equation (11) is transformed into (14) with respect to

x(k)

.…”

Section: Resultsmentioning

confidence: 99%

“…In order to obtain the positivity and stability conditions, the

e(k)

in Equation (11) is transformed into (14) with respect to

x(k)

. If the gain matrices were not designed as the form in [34], it is hard to guarantee the positivity owing to the existence of the error term

e(k)

. The literature [35] considered the synthesis of uncertain positive systems and uncertain positive switched systems, respectively.…”

Section: Resultsmentioning

confidence: 99%

Linear programming‐based proportional‐integral‐derivative control of positive systems

Zhou

Zhang

Jia

et al. 2023

IET Control Theory & Appl

Self Cite

View full text Add to dashboard Cite

show abstract

“…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: 98%

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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“…When t ∈ [ tl k +i , tl k +i + h), inequalities (17) are clearly true from (32); when t ∈ [ tl k +i + h, tl k +i+1 ), recalling lim t→( tl…”

Section: 𝜏(T) Which Implies That γ(𝜏(T)) Linearly Depends On 𝜏(T) ∈ [...mentioning

confidence: 99%

“…The existence of actuator saturation may reduce the performance of the system, and even affect the stability of the system. Therefore, it has attracted the attention of many scholars, and many meaningful results have been obtained [11][12][13][14][15][16][17][18]. For switched systems, due to the interaction of continuous and discrete dynamics and the complexity of switching mode, it is more difficult to study the switched systems with actuator saturation than the non-switched systems.…”

Section: Introductionmentioning

confidence: 99%

Switching event‐triggered control of switched systems with actuator saturation

Wang

2022

Asian Journal of Control

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This paper focuses on switching event‐triggered controller design for switched continuous‐time systems with actuator saturation. First, we revisit the switching event‐triggered sampled‐data mechanism (ETSDM) to adapt it to the state feedback control of switched systems with actuator saturation. Then, by thinking of the ETSDM as a switching between periodic sampling and continuous ETSDM, constructing a switching multiple Lyapunov functions to give the analysis and design, and adopting the sector conditions to deal with the saturation, the sufficient conditions and the initial region ensuring the exponential stability of the switched system are proposed. Furthermore, the corresponding solvable conditions for the switching event‐triggered controller and the triggering parameter matrices are established. Finally, a circuit example is given to illustrate the validity of the proposed results.

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Event-triggered Control of Positive Switched Systems with Actuator Saturation and Time-delay

Cited by 4 publications

References 46 publications

Linear programming‐based proportional‐integral‐derivative control of positive systems

Linear programming‐based proportional‐integral‐derivative control of positive systems

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

Switching event‐triggered control of switched systems with actuator saturation

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