H ∞ control for networked control systems with time delay, data packet dropout and disorder

Chen, Haifei; Gao, Jinfeng; Shi, Ting; Lu, Renquan

doi:10.1016/j.neucom.2015.11.092

Cited by 60 publications

(32 citation statements)

References 28 publications

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“…by introducing a discrete time delay into the nonlinear dynamic function of the servomotor. In view of that there are many examples which successfully introduced the discrete time delay into their models [44][45][46] , we based on Definition 2.2 similarly get the nonlinear dynamic equation of the servomotor with the time delay as…”

Section: The Mathematical Model Of the Hydraulic Servo System With Timentioning

confidence: 99%

Nonlinear dynamics of a novel fractional-order Francis hydro-turbine governing system with time delay

Wang

Chen

et al. 2016

Chaos, Solitons & Fractals

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a b s t r a c tThis paper focuses on the stability of a hydropower station. First, we established a novel nonlinear mathematical model of a Francis hydro-turbine governing system considering both fractional-order derivative and time delay. The fractional-order α, which is introduced into the penstock system, in the range from 0.82 to 1.00 is on the left side of the model in a incommensurate manner in increment of 0.03 to provide an adjustable degree of system memory. The time delay τ , which exists between the signal and response in the hydraulic servo system, in the range from 0 s to 0.26 s is inserted on the right side of the model in increment of 0.04 s . Utilizing the principle of statistical physics, we respectively explored the effects of the fractional-order α and the time delay τ on the stable region of the system. Furthermore, we exhaustively investigated the nonlinear dynamic behaviors of the system with different governor parameters by using bifurcation diagrams, time waveforms and power spectrums, finding that only under the condition of reasonable collocation of governor parameters the system can maintain stable operation. Finally, all of the above numerical experiments supply new methods for studying the stability of a hydropower station.

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Section: The Mathematical Model Of the Hydraulic Servo System With Timentioning

confidence: 99%

Nonlinear dynamics of a novel fractional-order Francis hydro-turbine governing system with time delay

Wang

Chen

et al. 2016

Chaos, Solitons & Fractals

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“…Denoting the energetic function where L 1 is a positive define matrix. Let us select S 1 .t k / such that the Riccati recursion (19) holds, and the following inequality is further obtained.…”

Section: Theoremmentioning

confidence: 99%

“…The Riccati-like recursions (19) and (20) in the delta-domain are actually a unified form of results in discrete-time and continuous-time system. For instance, by using N A´.k/ D T k N A ı .t k / C I , the delta-domain result (19) can be converted to its discrete-domain analog as follows:…”

Section: Remarkmentioning

confidence: 99%

“…Specifically, the time-delayed control system that can only accommodate a subset of actuators at any time has been exploited in [17]. In [19], the H 1 control problem has been addressed for NCS with stochastic time delays subjected to the Markovian distribution. On the other hand, the NCS with packet dropout has been exploited in [21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

“…In simultaneous presence of time delays, packet losses, and measurement quantization effects, the coupled design of controller and communication sequences has been addressed in [26]. However, it should also be pointed out that most of the exploited literature has addressed the optimal control problem in the continuous-domain or discretedomain, see, for example, [11,12,16,19,27,28] and the references therein. The literature on the optimal control of the delta-domain NCS model, which can overcome the numerical stiffness with delay is denoted by .t/, and the packet dropout is described by˛.t/, which can also be regarded as an indicator of the packet received.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Multi‐tasking optimal control of networked control systems: A delta operator approach

Yuan

Guo

et al. 2016

Intl J Robust & Nonlinear

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Summary In this paper, the multi‐tasking optimal control problem is addressed in the delta‐domain for a class of networked control systems (NCSs) with external disturbances. A delta‐domain model is proposed to describe the NCSs with random packet dropouts and long‐time delay, and the so‐called ε‐Nash equilibrium is employed to quantify the impacts from the disturbances on the underlying NCSs. The multi‐tasking optimal control strategies are developed and the upper bound for the ε‐Nash equilibrium is provided explicitly. Some simulation results on the two‐area load frequency control system are given to show the validity and applicability of the proposed method. Copyright © 2016 John Wiley & Sons, Ltd.

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Modified performance of MIMO wireless networked time‐delay systems over fading channels

Zhan

Cheng

Zhao

et al. 2019

Asian Journal of Control

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In this paper, the modified performance limitation of multi‐input multi‐output (MIMO) wireless networked time‐delay systems over fading channels is investigated, where the characteristic of the fading channels is assumed to be a random process. The modified tracking performance limitation is considered based on frequency domain representation. The display expressions of performance limitation are achieved by using the co‐prime factorization and the spectral decomposition techniques. The obtained results show that the modified performance limitation of the wireless networked time‐delay systems is related to the inherent characteristics of the given plant, including the non‐minimum phase zeroes, the unstable poles, the encoding‐decoding, the fading channels, the bandwidth and the modified factor. Finally, some numerical examples are provided to demonstrate the efficiency of the proposed design method.

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H ∞ control for networked control systems with time delay, data packet dropout and disorder

Cited by 60 publications

References 28 publications

Nonlinear dynamics of a novel fractional-order Francis hydro-turbine governing system with time delay

Nonlinear dynamics of a novel fractional-order Francis hydro-turbine governing system with time delay

Multi‐tasking optimal control of networked control systems: A delta operator approach

Modified performance of MIMO wireless networked time‐delay systems over fading channels

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