Model approximation for two-dimensional Markovian jump systems with state-delays and imperfect mode information

Wei, Yanling; Qiu, Jianbin; Karimi, Hamid Reza; Wang, Mao

doi:10.1007/s11045-013-0276-x

Cited by 97 publications

(43 citation statements)

References 34 publications

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“…The effects of packet drops on control systems have been subjected to numerous recent studies, such as Cloosterman et al (2008), , and . Of particular interest is the use of Markovian chains for modeling the dropout as in Wei et al (2014aWei et al ( ,b, 2015b and Wei et al (2015a) for application in ESC.…”

Section: Discussionmentioning

confidence: 99%

Bandwidth Reduction and Convergence Analysis of Extremum Seeking Control with Feedback Encoding

Wijesinghe

Premaratne

2016

Front. Mech. Eng.

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Frequently, a physical plant of a control system has an optimum operating point such as the spark (or injection) time of an internal combustion engine that results in maximum torque. Extremum Seeking Control (ESC) is a method of adaptive control capable of locating and maintaining a plant at such an optimum operating point in real time. It is capable of doing so with minimal a priori knowledge of the plant and can also track slowly varying changes. Input perturbed ESC schemes that use periodic dither signals have the disadvantage of requiring a high bandwidth for sampling and correlating the plant output with the dither signal. If the feedback path was to be implemented over a packet switched communication network, the high bandwidth requirement could result in increased congestion and consequently packet delays and dropouts. As a solution encoding using sporadic (aperiodic) sampling techniques can be used in the feedback path of the ESC scheme to reduce the required bandwidth. However, in order to ensure convergence of the ESC scheme with encoding, the effect of the signal reconstruction error due to encoding on the critical correlation stage has to be investigated. The contribution of this paper is an investigation of the convergence requirements and bandwidth performance of two encoding schemes; Memory-Based Event Triggering (MBET) and Event Triggered Adaptive Differential Modulation (ETADM). The results show that MBET can fail for objective functions with plateaus. ETADM fails when the number of ETADM steps used for reconstructing the plant output per perturbation cycle is too low to allow correlation. In terms of bandwidth reduction MBET performs better than ETADM (97% and 70%, respectively). However, the use of MBET results in a longer convergence time.

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Section: Discussionmentioning

confidence: 99%

Bandwidth Reduction and Convergence Analysis of Extremum Seeking Control with Feedback Encoding

Wijesinghe

Premaratne

2016

Front. Mech. Eng.

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“…Furthermore, the sensor failures have not been considered. The robustness of the identification algorithm can be further improved by optimizing an H ∞ criterion as in [27] in order to ensure that the model approximation is robust to these forms of uncertainties.…”

Section: B Recursive Pbsid With Nuclear Normmentioning

confidence: 99%

Nuclear Norm-Based Recursive Subspace Identification for Wind Turbine Flutter Detection

Navalkar

Wingerden

2018

IEEE Trans. Contr. Syst. Technol.

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Abstract-Commercial wind turbine blades are progressively becoming longer and more flexible; in order to achieve load reduction, the use of shape modifying devices is currently under research. While such modifications facilitate cost reduction, they also render the blade susceptible to the unstable aeroelastic phenomenon of flutter. To be able to detect the onset of flutter, and to modify the load control algorithm accordingly, it is desirable to perform online identification of system dynamics. In this paper, a recursive subspace identification algorithm is augmented with a nuclear norm-based cost function for the rapid identification of changes in the dominant system behavior. The time-consuming singular value thresholding step involved in the identification is replaced by a fast randomized algorithm. The method developed is used to identify the changes in the dynamics of an experimental wind turbine equipped with shape-modifying actuators, and operated under controlled conditions in a wind tunnel. The proposed identification method shows high sensitivity to changes in system dynamics, and is shown capable of stably and rapidly identifying the onset of aeroelastic flutter.Index Terms-Nuclear norm, randomized singular value decomposition (SVD), recursive identification, wind energy.

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“…The additional input dz(u) is introduced to deal with the saturation nonlinearity and it can also be determined online. The matrices A k , · · · , D k22 in equation (12) are controller gains to be synthesized. This controller has rational functional dependency on the scheduling parameter Θ f (i.e.…”

Section: Gain-scheduled Dynamic Output Feedback Controller Formmentioning

confidence: 99%

Gain-scheduling control of T-S fuzzy systems with actuator saturation

Liu

Ban

et al. 2017

IFS

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Abstract. This paper presents a gain-scheduling output feedback control design method for T-S fuzzy systems with actuator saturation. Different from existing control design methods for T-S fuzzy systems, the basic idea of the proposed approach is to transform the T-S fuzzy model with saturation nonlinearity into the form of linear fractional transformation (LFT). Instead of commonly used fuzzy controllers, a gain-scheduled output feedback controller in the LFT form is introduced to stabilize the saturated T-S fuzzy system with guaranteed H∞ performance. The problem of establishing regional stability and performance of the closed-loop nonlinear system are tackled by using robust control techniques. As a result, the conservatism introduced by dealing with the quadratic terms of normalized fuzzy weighting functions can be avoided. The proposed controller synthesis problem is cast as a convex optimization in terms of linear matrix inequalities (LMIs) and can be solved efficiently. An example of balancing the inverted pendulum with bounded actuation is provided to illustrate the effectiveness of the proposed design method.

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Model approximation for two-dimensional Markovian jump systems with state-delays and imperfect mode information

Cited by 97 publications

References 34 publications

Bandwidth Reduction and Convergence Analysis of Extremum Seeking Control with Feedback Encoding

Bandwidth Reduction and Convergence Analysis of Extremum Seeking Control with Feedback Encoding

Nuclear Norm-Based Recursive Subspace Identification for Wind Turbine Flutter Detection

Gain-scheduling control of T-S fuzzy systems with actuator saturation

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