Pad&amp;#x00E9; approximation based method for computation of eigenvalues for time delay power system

Niu, Xinsheng; Ye, Hua; Liu, Xiaoming

doi:10.1109/upec.2013.6714971

Cited by 4 publications

(5 citation statements)

References 9 publications

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“…For dealing with this control problem, we propose the definition of an augmented system that encompass the plant, actuators, and sensors dynamics, and also the time delay effect. To this end, we first consider that the time delay is modeled using the Padé approximation [43].…”

Section: A System Augmentationmentioning

confidence: 99%

“…. , q, is received by the controller with time delay τ = τ s (possibly uncertain), the function R(s) in ( 11) can be transformed into an equivalent state-space model of order k = k s that represents the delay effect on the sensor output signal by using the following realization [43]:…”

Section: A System Augmentationmentioning

confidence: 99%

“…Then, at the optimal solution, system (43) in closed-loop with u(t) = Ly(t), where L = H −1 J, has a lower bound γ > 0 on the system decay rate and the closed-loop system H 2 norm is bounded by µ such that µ = √ ν ≥ ||H(s)|| 2 . Proof: Assuming that (52) holds, we have that H is invertible.…”

Section: Y(α)mentioning

confidence: 99%

“…Furthermore, investigations on the synthesis of controllers for systems with time delays and also non-negligible dynamics in sensors and actuators are relatively scarce. In our paper, such practical issues are handled by defining an augmented system, where the time-delay effect is modeled using the Padé Approximation [43], [44]. The resulting overall system encompasses the plant, sensors, actuators, and time-delay dynamic states.…”

mentioning

confidence: 99%

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An Output-Feedback Design Approach for Robust Stabilization of Linear Systems With Uncertain Time-Delayed Dynamics in Sensors and Actuators

et al. 2023

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In this paper, we propose a control approach for the robust stabilization of linear timeinvariant (LTI) systems with non-negligible sensor and actuator dynamics subject to time-delayed signals.Our proposition is based on obtaining an augmented model that encompasses the plant, sensor, and actuator dynamics and also the time-delay dynamic effect. We make use of the Padé Approximation for modeling the time-delay impact on the feedback loop. Since the actual plant state variables are not available for feedback, the sensor outputs, which represent a subset of the augmented system state variables, are used for composing a static output-feedback control law. The robust controller gains are computed by means of a two-stage strategy based on linear matrix inequalities (LMI). For obtaining less conservative conditions we consider the use of homogeneous-polynomial Lyapunov functions (HPLF) -and other decision variables -of arbitrary degree. In our proposition, we also take into account the inclusion of a minimum decay rate criterion in order to improve closed-loop system transient response. Disturbance rejection is also addressed through extensions to H 2 guaranteed cost minimization. The effectiveness of the proposed strategy is attested in the design of a controller for the lateral axis dynamics of an aircraft and other academic examples. INDEX TERMSRobust control, time-delay, linear time-invariant systems, static output feedback, linear matrix inequalities.

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Section: A System Augmentationmentioning

confidence: 99%

Section: A System Augmentationmentioning

confidence: 99%

Section: Y(α)mentioning

confidence: 99%

mentioning

confidence: 99%

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An Output-Feedback Design Approach for Robust Stabilization of Linear Systems With Uncertain Time-Delayed Dynamics in Sensors and Actuators

et al. 2023

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“…Some methods have been used to deal with the problem of time delay. Pade approximation is applied to obtain the linear model with a certain order whose influence on the power system is approximately equivalent to the time delay [15]. It can be seen that the amount of calculation will be greatly increased because a higher order is adopted to reach better accuracy in the approximation.…”

Section: Introductionmentioning

confidence: 99%

The Delay-Dependent DOFC for Damping Inter-Area Low-Frequency Oscillations in an Interconnected Power System Considering Packet Loss of Wide-Area Signals

2021

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In this paper, the inter-area low-frequency oscillations are restrained in the interconnected power system by making use of the delay-dependent wide-area dynamic output feedback controller (DOFC). Modal analysis is adopted to obtain the modes of inter-area oscillation to be controlled and the Schur truncation model reduction technique is represented to reduce the order of the power system. The augmented closed-loop system model, where the transmission delay and packet loss of wide-area signals are considered, is established. The sufficient conditions of exponentially mean-square stable are obtained according to Lyapunov’s stability theory. Finally, case studies are carried out on a two-area four-machine power system, where our proposed controller, a conventional controller, and the wide-area damping controller in the existing references are installed, respectively. The simulation results under different external disturbances, packet loss rates, and delays are presented to show the effectiveness and advantages of our proposed controller.

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Comparison of three stability analysis methods for delayed cyber-physical power system

Gao

Liu

et al. 2016

2016 China International Conference on Electricity Distribution (CICED)

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Padé approximation based method for computation of eigenvalues for time delay power system

Cited by 4 publications

References 9 publications

An Output-Feedback Design Approach for Robust Stabilization of Linear Systems With Uncertain Time-Delayed Dynamics in Sensors and Actuators

An Output-Feedback Design Approach for Robust Stabilization of Linear Systems With Uncertain Time-Delayed Dynamics in Sensors and Actuators

The Delay-Dependent DOFC for Damping Inter-Area Low-Frequency Oscillations in an Interconnected Power System Considering Packet Loss of Wide-Area Signals

Comparison of three stability analysis methods for delayed cyber-physical power system

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