Design of observer-based feedback control for time-delay systems with application to automotive powertrain control

Yi, Sun; Ulsoy, A. Galip; Nelson, Peggy B.

doi:10.1016/j.jfranklin.2009.09.001

Cited by 60 publications

(26 citation statements)

References 36 publications

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“…Þsin x 2 t ð Þ, f 2 ðt; xðtÞ; xðt À dðtÞÞÞ ¼ ð1=10Þ x 3 1 þ x 3 2 À Á , g 1 ðt; xðtÞ; xðt À dðtÞÞÞ ¼ ð1=4Þx 3 1 t ð Þ, g 2 ðt; xðtÞ; xðt À dðtÞÞÞ ¼ ð1=4Þ…”

Section: A Practice Example Of Mechanical Movement and Simulationunclassified

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Output-Feedback Stabilization for a Special Class of Stochastic Nonlinear Time-Delay System With More General Growth Conditions

Guo

Liu

Zuo

et al. 2014

Journal of Dynamic Systems, Measurement, and Control

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This paper focuses on a special class of stochastic nonlinear time-delay system with more weak conditions in which the drift and diffusion vectors depend on all the states, including the unmeasurable states for the first time. By introducing a high-gain observer, finding the maximum value interval of high-gain for the desired performance and choosing an appropriate Lyapunov-Krasoviskii function, an output-feedback controller is designed to ensure the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability and the output can be almost regulated to the origin surely. A practice example of mechanical movement system is provided to demonstrate the efficiency of the output-feedback controller.

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Section: A Practice Example Of Mechanical Movement and Simulationunclassified

“…[1][2][3][4][5][6] and the references therein. However, so far, there are still only few results on stochastic nonlinear time-delay systems, see, e.g., Refs.…”

Section: Introductionmentioning

confidence: 99%

Output-Feedback Stabilization for a Special Class of Stochastic Nonlinear Time-Delay System With More General Growth Conditions

Guo

Liu

Zuo

et al. 2014

Journal of Dynamic Systems, Measurement, and Control

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“…Then, the SSD feedback control can be approximated as uðtÞ ¼ ÀFxðtÞ À G _ xðtÞ % ÀFxðtÞ À ð1=hÞGðxðtÞ À xðt À hÞÞ ¼ ÀðF þ ð1=hÞGÞxðtÞ þ ð1=hÞGxðt À hÞ (11) Thus, comparing Eqs. (8) and (11), one obtains…”

Section: Approximation Via Time Delaymentioning

confidence: 99%

“…Time delays occur in many engineering systems and can lead to difficulties in controller design and performance. For example, delays can be a significant concern in networked control systems [9,10], in engine control [11,12], or in teleoperation of robots [13]. Such TDS are described by DDEs and have an infinite eigenspectrum, which makes their analysis and control challenging.…”

Section: Introductionmentioning

confidence: 99%

Time-Delayed Control of SISO Systems for Improved Stability Margins

Ulsoy

2014

Journal of Dynamic Systems, Measurement, and Control

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While time delays typically lead to poor control performance, and even instability, previ-ous research shows that time delays can, in some cases, be beneficial. This paper presents a new benefit of time-delayed control (TDC) for single-input single-output (SISO) linear time invariant (LTI) systems: it can be used to improve robustness. Time delays can be used to approximate state derivative feedback (SSD), which together with state feedback (SF) can reduce sensitivity and improve stability margins. Additional sensors are not required since the state derivatives are approximated using available measurements and time delays. A systematic design approach, based on solution of delay differential equa-tions (DDEs) using the Lambert W method, is presented using a scalar example. The method is then applied to both single- and two-degree of freedom (DOF) mechanical sys-tems. The simulation results demonstrate excellent performance with improved stability margins. [DOI: 10.1115/1.4028528]

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“…Thus, when estimating time-delays using characteristic roots, it is required to decide whether it is the former or the latter. The condition for decision is derived using the Lambert W function (Yi et al, 2010b). The branches of the Lambert W function and the specific range of each branch are helpful in deriving the condition (Corless et al, 1996).…”

Section: Rightmost Characteristic Root and The Lambert W Functionmentioning

confidence: 99%

Time-Delay Estimation using the Characteristic Roots of Delay Differential Equations

Yi¹

2012

American Journal of Applied Sciences

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Problem statement: For ordinary dynamic systems (i.e., non-delayed), various methods such as linear least-squares, gradient-weighted least-squares, Kalman filtering and other robust techniques have been widely used in signal processing, robotics, civil engineering. On the other hand, time-delay estimation of systems with unknown time-delay is still a challenging problem due to difficulty in formulation caused. Approach: The presented method makes use of the Lambert W function and analytical solutions of scalar first-order Delay Differential Equations (DDEs). The Lambert W function has been known to be useful in solving delay differential equations. From the solutions in terms of the Lambert W function, the dominant characteristic roots can be obtained and used to estimate time-delays. The function is already embedded in various software packages (e.g., MATLAB) and thus, the presented method can be readily used for time-delay systems. Results: The presented method and the provided examples show ease of formulation and accuracy of time-delay estimation. Conclusion: Estimation of time-delays can be conducted in an analytical way. The presented method will be extended to general systems of DDEs and application to physical systems.

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Design of observer-based feedback control for time-delay systems with application to automotive powertrain control

Cited by 60 publications

References 36 publications

Output-Feedback Stabilization for a Special Class of Stochastic Nonlinear Time-Delay System With More General Growth Conditions

Output-Feedback Stabilization for a Special Class of Stochastic Nonlinear Time-Delay System With More General Growth Conditions

Time-Delayed Control of SISO Systems for Improved Stability Margins

Time-Delay Estimation using the Characteristic Roots of Delay Differential Equations

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