Passivity and passification for switched T-S fuzzy systems with sampled-data implementation

Sang, Hong; Zhao, Jun

doi:10.1109/tfuzz.2019.2930430

Cited by 27 publications

(28 citation statements)

References 48 publications

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“…As shown in Figure , the closed‐loop system starting from the initial condition x ( k 0 )=[−0.250.5] T is passive under the combined switching signals even if neither of two subsystems is passive. From Table , it can be observed that for system with asynchronous switching, the proposed switching law in this article can lead to lower switching frequency than those switching laws obtained in References . In the same time, the number of switches decreases under as μ increases.…”

Section: Simulation Examplesmentioning

confidence: 64%

“…Remark The computational complexities of the article compared with the works of Xiao and Xiang and Xiang et al are given in Tables and . As shown in Tables and , the size of LMIs of this article are smaller than one of References and in the cases of synchronous and asynchronous switching.…”

Section: Resultsmentioning

confidence: 81%

“…The MSFs have been successfully used in the passivity analysis of switched systems. To reduce the conservatism of the conventional MSFs constructed by constant matrices P i ,

i \in \overline{M}

, inspired by the work of Sang and Zhao, we choose the DTDSFs as follow

\begin{align} V false(k false) = V_{i} false(x false(k false) false) = x^{T} false(k false) P_{i} false(k false) x false(k false), \end{align}

where

P_{i} (k), i \in \overline{M}

are time‐varying matrices defined by…”

Section: Resultsmentioning

confidence: 99%

“…The MSFs have been successfully used in the passivity analysis of switched systems. To reduce the conservatism of the conventional MSFs constructed by constant matrices P i , i ∈ M, inspired by the work of Sang and Zhao, 38 we choose the DTDSFs as follow…”

Section: Resultsmentioning

confidence: 99%

“…k 1 , k 2 , and k 3 denote the outflow rates and x 1 , x 2 , x 3 are the liquid level of Tank 1, Tank 2, and Tank 3. Given k 1 =2, k 2 =0.5, k 3 =1, the system can be converted into system (1) with double three‐dimensional submodes by Sang and Zhao, where

\begin{align} A_{1} = ([], \begin{matrix} left left leftarray \\ array 0.905 & array 0 & array 0 \\ array 0.093 & array 1.025 & array 0 \\ array 0.14 & array 0 & array 0.952 \end{matrix}), A_{2} = ([], \begin{matrix} left left leftarray \\ array 0.905 & array 0 & array 0 \\ array 0.093 & array 1.025 & array 0 \\ array - 0.32 & array 0.84 & array 0.2 \end{matrix}) \end{align}

Suppose other system matrices are as follow

\begin{align} B_{1} = {([], \begin{matrix} left left leftarray \\ array 2.98 & array 1.9 & array 0.35 \end{matrix})}^{T}, C_{1} = ([], \begin{matrix} left left leftarray \\ array 0.92 & array - 0.21 & array 0.31 \end{matrix}), \\ D_{1} = ([], \begin{matrix} leftarray \\ array - 2.2 \end{matrix}), E_{1} = {([], \begin{matrix} left left leftarray \\ array - 0.02 & array 0 & array 0.1 \end{matrix})}^{T}, F_{1} = ([], \begin{matrix} leftarray \\ array 1.55 \end{matrix}), \\ B_{2} = {([], \begin{matrix} left left leftarray \\ array 1.2 & array 0.65 & array 0.35 \end{matrix})}^{T}, C_{<...>} \end{align}

…”

Section: Simulation Examplesmentioning

confidence: 99%

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Asynchronous feedback passification for discrete‐time switched systems under state‐dependent switching with dwell time constraint

Zhang

Nie

2020

Adaptive Control & Signal

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Summary This article addresses the passivity analysis and asynchronous feedback passification problems for a class of discrete‐time switched systems with dwell time constraint. By exploiting dwell time‐dependent storage functions, a state‐dependent switching strategy obeying a dwell time constraint is constructed, and the solvability conditions for asynchronous feedback passification are developed in the form of linear matrix inequalities (LMIs). Moreover, the dwell time‐dependent asynchronous passive controllers are formulated simultaneously. It has been shown that the derived results are also applicable to the studies of passivity and synchronous feedback passification for discrete‐time switched systems under the combined switching strategy. Finally, a three‐tank system as a practical example is also provided to illustrate the applicability and effectiveness of our theoretic findings.

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Section: Simulation Examplesmentioning

confidence: 64%

Section: Resultsmentioning

confidence: 81%

“…The MSFs have been successfully used in the passivity analysis of switched systems. To reduce the conservatism of the conventional MSFs constructed by constant matrices P i ,

i \in \overline{M}

, inspired by the work of Sang and Zhao, we choose the DTDSFs as follow

\begin{align} V false(k false) = V_{i} false(x false(k false) false) = x^{T} false(k false) P_{i} false(k false) x false(k false), \end{align}

where

P_{i} (k), i \in \overline{M}

are time‐varying matrices defined by…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

\begin{align} A_{1} = ([], \begin{matrix} left left leftarray \\ array 0.905 & array 0 & array 0 \\ array 0.093 & array 1.025 & array 0 \\ array 0.14 & array 0 & array 0.952 \end{matrix}), A_{2} = ([], \begin{matrix} left left leftarray \\ array 0.905 & array 0 & array 0 \\ array 0.093 & array 1.025 & array 0 \\ array - 0.32 & array 0.84 & array 0.2 \end{matrix}) \end{align}

Suppose other system matrices are as follow

\begin{align} B_{1} = {([], \begin{matrix} left left leftarray \\ array 2.98 & array 1.9 & array 0.35 \end{matrix})}^{T}, C_{1} = ([], \begin{matrix} left left leftarray \\ array 0.92 & array - 0.21 & array 0.31 \end{matrix}), \\ D_{1} = ([], \begin{matrix} leftarray \\ array - 2.2 \end{matrix}), E_{1} = {([], \begin{matrix} left left leftarray \\ array - 0.02 & array 0 & array 0.1 \end{matrix})}^{T}, F_{1} = ([], \begin{matrix} leftarray \\ array 1.55 \end{matrix}), \\ B_{2} = {([], \begin{matrix} left left leftarray \\ array 1.2 & array 0.65 & array 0.35 \end{matrix})}^{T}, C_{<...>} \end{align}

…”

Section: Simulation Examplesmentioning

confidence: 99%

See 3 more Smart Citations

Asynchronous feedback passification for discrete‐time switched systems under state‐dependent switching with dwell time constraint

Zhang

Nie

2020

Adaptive Control & Signal

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QSR‐dissipativity of feedback interconnection of switched nonlinear systems under communication constraints

Cao

2021

Intl J Robust & Nonlinear

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This article studies QSR‐dissipativity of feedback interconnection of switched nonlinear system (SNS) via event‐triggered control. The QSR‐dissipativity property of a SNS is characterized by multiple storage functions and multiple supply rates, and the storage functions are allowed to increase at switching instants. All subsystems are allowed to be not QSR‐dissipative while a switching rule can read QSR‐dissipativity of the switched system. An output‐based event‐triggered control scheme is proposed to guarantee QSR‐dissipativity of feedback interconnection of switched systems possessing QSR‐dissipativity. In addition, Zeno behavior is excluded and the maximum number of triggers in any switching interval composed by two adjacent switching instants is estimated. Finally, a numerical example is given to illustrate the validity of the results.

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Event‐triggered switching‐dependent integral sliding mode control for networked switched linear systems with unknown nonlinear disturbance

Wang

et al. 2022

Intl J Robust & Nonlinear

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This article investigates the event-triggered sliding mode control problem for uncertain networked switched systems with the external nonlinear disturbance. First, to reduce the utilization of the network bandwidth, a novel mode-dependent continuous-time event-triggering scheme (ETS) including the state triggering error is proposed. A switching-dependent auxiliary function called the triggering sliding mode function is constructed, which prevents the controller from using the extra information (the continuous state). Then, a novel switching-dependent integral-type switching function that depends on the states of the switching instants and includes an exponential term is proposed.Obtaining the boundary of the sliding mode region benefits from the exponential term for continuous-time systems. Then, an event-triggered sliding mode controller is designed, which makes the networked switched systems practical stability, and attains the sliding region around the specified sliding surface.When the constant threshold of the triggering scheme is zero, the system state can converge to zero as time goes to infinity. Moreover, it is proved that the Zeno behavior can be avoided under the proposed continuous-time ETS. Finally, the effectiveness of the proposed method is shown by a switched Chua's circuit system.

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Passivity and passification for switched T-S fuzzy systems with sampled-data implementation

Cited by 27 publications

References 48 publications

Asynchronous feedback passification for discrete‐time switched systems under state‐dependent switching with dwell time constraint

Asynchronous feedback passification for discrete‐time switched systems under state‐dependent switching with dwell time constraint

QSR‐dissipativity of feedback interconnection of switched nonlinear systems under communication constraints

Event‐triggered switching‐dependent integral sliding mode control for networked switched linear systems with unknown nonlinear disturbance

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