Distributed finite‐time control for Markovian jump systems interconnected over undirected graphs with time‐varying delay

Xue, Xiaojuan; Xu, Huiling; Xu, Li

doi:10.1049/iet-cta.2018.5879

Cited by 9 publications

(12 citation statements)

References 40 publications

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“…22 , K i 23 and K i 24 , respectively. Thus, according to inequalities (29), (30) and Lemma 1, the closed-loop system resulting from the distributed full information controller in (26) is well-posed, stable and satisfies the finite-frequency specification (7). The proof is completed.…”

Section: Theorem 3 Consider the Interconnected System G And Let Scalarsmentioning

confidence: 83%

“…Then if there exist matrices such that the conditions in (22) and (23) are satisfied, the conditions in (12) and (13) are also satisfied by setting the gain of the DSOF controller as (25). Thus according to Theorem 1, the DSOF controller with its gain given in (25) can guarantee the wellposedness, stability and the finite-frequency specification in (7). The proof is completed.…”

Section: Theorem 2 Consider the Interconnected System G And Let Scalarsmentioning

confidence: 86%

“…In [5], authors proposed a state-space description for the interconnected system and analyzed the well-posedness, stability, contractiveness and distributed control of such interconnected system. On this basis, considerable works on distributed control of interconnected systems were carried out, such as  2 distributed control [6], distributed finite-time control [7], distributed control of discrete-time interconnected systems [8][9][10] etc. As a significant component of control theory, static output feedback (SOF) control problem has been extensively studied in recent years [11].…”

Section: Introductionmentioning

confidence: 99%

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Distributed static output feedback control for interconnected systems in finite‐frequency domain

Chen

Wang

2021

IET Control Theory & Appl

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This paper aims at designing a distributed static output feedback (DSOF) controller for the interconnected system in finite-frequency domain. Motivated by the fact that the signal transmitting process is usually affected by surrounding environments, the interconnection communication between subsystems are assumed to be non-ideal. By introducing some dilated multipliers into the extended condition that guarantees the well-posedness, stability and finite-frequency  ∞ performance of non-ideally interconnected systems, a new equivalent condition is derived, which is more effective for parameterizing the DSOF controller. A two-stage approach is then developed for constructing a DSOF controller: design an initial distributed full information (DFI) controller first and then derive a desired DSOF from the DFI controller. Moreover, two iterative linear matrix inequality based algorithms are proposed to improve the solvability of the DFI controller and DSOF controller design problems. Finally, an example is given to show the effectiveness of the proposed two-stage DSOF controller design method. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Section: Theorem 3 Consider the Interconnected System G And Let Scalarsmentioning

confidence: 83%

Section: Theorem 2 Consider the Interconnected System G And Let Scalarsmentioning

confidence: 86%

Section: Introductionmentioning

confidence: 99%

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Distributed static output feedback control for interconnected systems in finite‐frequency domain

Chen

Wang

2021

IET Control Theory & Appl

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“…Recently, Yu et al [10] proposed a finite-time command-filtered backstepping approach. Xue et al [15] put forward a sufficient condition on the finitetime interval. Meanwhile, Ben Njima et al [16] presented a finite-time stabilization approach of CFTLLS by solving some linear matrix inequalities.…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Control for a Coupled Four-Tank Liquid Level System Based on the Port-Controlled Hamiltonian Method

2020

Complexity

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This work investigates the finite-time control problem for a nonlinear four-tank cross-coupled liquid level system by the port-controlled Hamiltonian (PCH) model. A fixed-free methodology is exhibited which can be used to simplify the controller design procedure. To get an adjustable convergent gain of the finite-time control, a feasible technique named damping normalization is proposed. A novel parameter autotuning algorithm is given to clarify the principle of choosing parameters of the PCH method. Furthermore, a finite-time controller is designed by a state-error desired Hamiltonian function, and the relationship between the settling time and a parameter is given, which can be applied in practical engineering easily to adjust the settling time according to the industrial need. Finally, simulation and experimental results verify the effectiveness of the proposed algorithm.

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“…The random jumps between multiple modes of MJSs are governed by a finite Markov chain. Based on its formidable modelling function, MJSs have been widely used to describe many practical applications, such as economic systems, engineering systems, communication systems, networked control systems and manufacturing systems [1–9]. However, since the sojourn time obeys exponential distribution in the Markov process, the transition rate is memoryless and time constant, which effectively limits the use of traditional MJSs.…”

Section: Introductionmentioning

confidence: 99%

Sampled‐data control for semi‐Markovian jump systems with actuator saturation via fuzzy model approach

Liang

Xia

Zhang

et al. 2020

IET Control Theory & Appl

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Distributed finite‐time control for Markovian jump systems interconnected over undirected graphs with time‐varying delay

Cited by 9 publications

References 40 publications

Distributed static output feedback control for interconnected systems in finite‐frequency domain

Distributed static output feedback control for interconnected systems in finite‐frequency domain

Finite-Time Control for a Coupled Four-Tank Liquid Level System Based on the Port-Controlled Hamiltonian Method

Sampled‐data control for semi‐Markovian jump systems with actuator saturation via fuzzy model approach

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