A Novel Tracker for a Class of Sampled-data Nonlinear Systems

Tsai, Jason Sheng‐Hong; Chen, Fu Ming; Guo, Shu‐Mei; Chen, Chia Wei; Shieh, Leang-San

doi:10.1177/1077546309353365

Cited by 8 publications

(4 citation statements)

References 20 publications

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“…). It is well known that the high-gain property can suppress system uncertainties [31]. For this reason, the high-gain property is adopted in this paper.…”

Section: Remark 1 ([31]mentioning

confidence: 99%

Stability Analysis for Digital Redesign of Discrete-Time Switched Systems Using H∞ Linear Matrix Inequality

2023

Mathematics

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In this paper, the stability problem for the digital redesign of discrete-time switched systems using H∞ linear matrix inequality (LMI) is investigated. We propose the switching time approach for digital redesign between controller work and failure, and this switching time will limit the system output within the system capacity. When the controller fails, the overall system will be unstable. Therefore, if the digital redesign controller is not restored in a certain period of time, the system output will exceed the system capacity. To solve this problem, we propose a switching law to determine the switching time between the stable mode (controller work) and the unstable (controller failure) mode; this will limit the overall system states in the unstable mode. In addition, the digital redesign controller has the advantage of faster tracking. After we propose a discrete-time switching system with stable and unstable modes, we use H∞ linear matrix inequality (LMI) and Lyapunov functions to prove the stability in detail. Finally, the numerical example illustrates the feasibility of the proposed approach.

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“…). It is well known that the high-gain property can suppress system uncertainties [31]. For this reason, the high-gain property is adopted in this paper.…”

Section: Remark 1 ([31]mentioning

confidence: 99%

Stability Analysis for Digital Redesign of Discrete-Time Switched Systems Using H∞ Linear Matrix Inequality

2023

Mathematics

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“…28 Tsai et al suggested a novel observer/Kalman filter identification (OKID)–based ILC, implemented on a non-linear system, and the findings show good tracking performance. 29 Theoretically, the ILC is capable of adjusting the control signal by using the experience of previous trials. The performance error closes into the zero target e k → 0 as time approaches infinity t → ∞ .…”

Section: Design Of Controllermentioning

confidence: 99%

Hybrid learning control for improving suppression of hand tremor

As’arry

Zain

Mailah

et al. 2013

Proc Inst Mech Eng H

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Patients with hand tremors may find routine activities such as writing and holding objects affected. In response to this problem, an active control technique has been examined in order to lessen the severity of tremors. In this article, an online method of a hybrid proportional-integral control with active force control strategy for tremor attenuation is presented. An intelligent mechanism using iterative learning control is incorporated into the active force control loop to approximate the estimation mass parameter. Experiments were conducted on a dummy hand model placed horizontally in a tremor test rig. When activated by a shaker in the vertical direction, this resembles a postural tremor condition. In the proportional-integral plus active force control, a linear voice coil actuator is used as the main active tremor suppressive element. A sensitivity analysis is presented to investigate the robustness of the proposed controller in a real-time control environment. The findings of this study demonstrate that the intelligent active force control and iterative learning controller show excellent performance in reducing tremor error compared to classic pure proportional, proportional-integral and hybrid proportional-integral plus active force control controllers.

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“…This result was subsequently extended to the eigensystem realization algorithm (ERA) (Juang and Pappa, 1986). The observer/Kalman filter identification (OKID) method (Juang et al, 1993;Juang, 1994) is a valuable tool for model linearization, which has been proved very effective in various difficult identification problems (Marco, 2008;Tsai et al, 2009). In this paper, modeling of decentralized low-order linear observers for a class of unknown interconnected large-scale sampled-data nonlinear systems is proposed.…”

Section: Introductionmentioning

confidence: 99%

Fault-tolerant tracker for a class of unknown interconnected large-scale sampled-data nonlinear systems with input constraint and actuator failure

Shiu

Tsai

Guo

et al. 2013

Journal of Vibration and Control

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Based on the model predictive control (MPC), the soft switching method, and the observer/Kalman filter identification (OKID) method, this paper presents the decentralized fault-tolerant trackers for a class of unknown interconnected large-scale multi-input multi-output sampled-data nonlinear systems with input constraint, actuator failure, and closedloop decoupling properties. The off-line OKID method is utilized to determine decentralized appropriate (low-) order discrete-time linear models for the class of unknown interconnected large-scale sampled-data systems by using known input-output sampled data. Then, to overcome the effect of modeling error on the identified linear model of each subsystem, an improved observer with the high-gain property based on the digital redesign approach will be presented. So, decentralized multiple MPC controllers are designed beforehand by using the identified linear models. Once a fault is detected in each decentralized controller, one of the backup control configurations in each decentralized subsystem is switched to using the soft switching approach. Thus, the decentralized fault-tolerant control with the closed-loop decoupling property can be achieved through the above approach with a high-gain property decentralized observer/ tracker.

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A Novel Tracker for a Class of Sampled-data Nonlinear Systems

Cited by 8 publications

References 20 publications

Stability Analysis for Digital Redesign of Discrete-Time Switched Systems Using H∞ Linear Matrix Inequality

Stability Analysis for Digital Redesign of Discrete-Time Switched Systems Using H∞ Linear Matrix Inequality

Hybrid learning control for improving suppression of hand tremor

Fault-tolerant tracker for a class of unknown interconnected large-scale sampled-data nonlinear systems with input constraint and actuator failure

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