Quadratic Optimal Fault Tolerant Control on Wireless Networked Control Systems for Real‐Time Industrial Applications

Xu, Dongmei; Ding, Steven X.; Wang, Ying; Shen, Bo

doi:10.1002/asjc.999

Cited by 8 publications

(9 citation statements)

References 26 publications

(42 reference statements)

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“…. , n, are assigned according to [16] to yield homogeneous finite-time convergence of all the states of the closed-loop system (7), (8). Namely, γ i ∈ (0, 1), i = 0, .…”

Section: Fault-tolerant Control For Dimension More Than Two Systemsmentioning

confidence: 99%

“…Theorem 8.1 in [16] establishes that there exists such an ε > 0 that the homogeneous (in view of definition of γ i ) closed-loop system (7)-(8) without terms v 0 (t) and v n+1 (t) is globally finite-time stable at the origin in the absence of disturbances. It would be demonstrated that the designed continuous control (8) works similarly to the super-twisting control (5), i.e., results in finite-time convergence of the states x 1 (t), x 2 (t),..., x n (t) of the system (7) to the origin.…”

Section: Fault-tolerant Control For Dimension More Than Two Systemsmentioning

confidence: 99%

“…fault, and process fault), the three-tank system has been actively employed for research in the areas of fault detection and diagnosis [6], [7], [8], [9], [10] and fault-tolerant control design [7], [11], [12], [13], [14].…”

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confidence: 99%

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A finite-time-convergent fault-tolerant control and its experimental verification for DTS200 three-tank system

Krueger

Ding

2015

2015 International Workshop on Recent Advances in Sliding Modes (RASM)

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This paper presents a fault-tolerant continuous super-twisting control algorithm for systems of dimension more than one, subject to Lipshitzian and non-Lipshitzian bounded disturbances. The conditions of finite-time convergence of the entire system state to the origin are obtained. An experimental verification of the designed fault-tolerant algorithm is conducted for a DTS200 three-tank system through varying fault sources, disturbances, input conditions, and inter-tank connections. I. INTRODUCTIONIt is well known that the classical discontinuous sliding mode control provides finite-time convergence for a scalar system state [1]. A finite-time stabilizing control for a system of dimension two is realized using the twisting algorithm [2], where the second order sliding mode control is also discontinuous. Both algorithms are robust with respect to bounded disturbances. On the other hand, using a continuous second-order sliding mode super-twisting algorithm [3], a scalar system state can be stabilized along with its first derivative. The super-twisting algorithm is robust with respect to unbounded disturbances satisfying a Lipschitz condition. A recent paper [4] has presented a modified super-twisting algorithm for systems of dimension more than one, which is however robust only against disturbances satisfying a Lipschitz condition.This paper corrects the indicated flaw and presents a faulttolerant homogeneous continuous super-twisting control algorithm for systems of dimension more than one, subject to Lipshitzian and non-Lipshitzian bounded disturbances. The conditions of finite-time convergence of the entire system state to the origin are obtained. First, the case of dimension two is addressed. Similar results are then obtained for systems of dimension more than two.The paper concludes with an experimental verification of the designed fault-tolerant algorithm, which is conducted for a DTS200 three-tank system through varying fault sources, disturbances, input conditions, and inter-tank connections. This three-tank system is a widely recognized testbed for applying performance tests and validating new control strategies [5]. Making use of its built-in fault scenarios (sensor fault, actuator

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“…. , n, are assigned according to [16] to yield homogeneous finite-time convergence of all the states of the closed-loop system (7), (8). Namely, γ i ∈ (0, 1), i = 0, .…”

Section: Fault-tolerant Control For Dimension More Than Two Systemsmentioning

confidence: 99%

Section: Fault-tolerant Control For Dimension More Than Two Systemsmentioning

confidence: 99%

See 1 more Smart Citation

A finite-time-convergent fault-tolerant control and its experimental verification for DTS200 three-tank system

Krueger

Ding

2015

2015 International Workshop on Recent Advances in Sliding Modes (RASM)

Self Cite

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show abstract

“…This three-tank system is a widely recognised testbed for applying performance tests and validating new control strategies [5]. Making use of its built-in fault scenarios (sensor fault, actuator fault and process fault), the three-tank system has been actively employed for research in the areas of fault detection and diagnosis [6][7][8][9][10] and fault-tolerant control design [7,[11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Finite‐time‐convergent fault‐tolerant control for dynamical systems and its experimental verification for DTS200 three‐tank system

Krueger

Ding

2015

IET Control Theory & Applications

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This study presents a fault-tolerant continuous super-twisting control algorithm for dynamical systems, subject to Lipshitzian and non-Lipshitzian bounded disturbances. The conditions of finite-time convergence of the entire system state to the origin are obtained. An experimental verification of the designed fault-tolerant algorithm is conducted for a DTS200 three-tank system through varying fault sources, disturbances, input conditions and inter-tank connections. IntroductionIt is well-known that the classical discontinuous sliding mode control provides finite-time convergence for a scalar system state [1]. A finite-time stabilising control for a system of dimension two is realised using the twisting algorithm [2], where the secondorder sliding mode control is also discontinuous. Both algorithms are robust with respect to bounded disturbances. On the other hand, using a continuous second-order sliding mode super-twisting algorithm [3], a scalar system state can be stabilised along with its first derivative. The super-twisting algorithm is robust with respect to unbounded disturbances satisfying a Lipschitz condition. A recent paper [4] has presented a modified super-twisting algorithm for systems of dimension more than one, which is, however, robust only against disturbances satisfying a Lipschitz condition. This paper presents a fault-tolerant homogeneous continuous super-twisting control algorithm for dynamical systems, subject to not only Lipshitzian and but non-Lipshitzian bounded disturbances as well, thus making a substantial advance with respect to existing results. The conditions of finite-time convergence of the entire system state to the origin are obtained. First, the case of dimension two is addressed. Similar results are then obtained for systems of dimension more than two. The paper concludes with an experimental verification of the designed fault-tolerant algorithm, which is conducted for a DTS200 three-tank system through varying fault sources, disturbances, input conditions and inter-tank connections. This three-tank system is a widely recognised testbed for applying performance tests and validating new control strategies [5]. Making use of its built-in fault scenarios (sensor fault, actuator fault and process fault), the three-tank system has been actively employed for research in the areas of fault detection and diagnosis [6-10] and fault-tolerant control design [7,[11][12][13][14].The paper is organised as follows. The problem statement is given in Section 2. A fault-tolerant continuous super-twisting control algorithm for dynamical systems is designed in Section 3. An experimental verification of the designed fault-tolerant algorithm is conducted for a DTS200 three-tank system in Section 5. The proofs of all theorems are given in the Appendix. 2Control problem statement for faulted systems Consider a dynamic system of dimension two in the presence of faultẋ∈ R 2 is the system state and u(t) ∈ R is the control input. The function f (x 1 (t), x 2 (t), t) satisfies the Lipschitz condition with...

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“…Wireless network communication technology has been widely used in many applications because of its simplicity and flexibility. However, some new challenging problems have been shown, such as low observability, data delay and data dropout . These phenomena will influence the design process and performance of target tracking systems which is one of the important applications of wireless networks.…”

Section: Introductionmentioning

confidence: 99%

Observable Degree Analysis to Match Estimation Performance for Wireless Tracking Networks

Chen

et al. 2016

Asian Journal of Control

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State estimation suffers some new challenging problems when wireless sensor networks (WSNs) are used in mobile target tracking systems. An important problem among them is low observability, which makes it necessary to further study performance of tracking estimators from an observable degree point of view. This paper studies observable degree analysis (ODA) to formulate the estimator performance for a kind of wireless tracking filter. For a kind of time-varying Kalman estimator, an improved ODA method is proposed by using weighted least square, Cauchy Schwarz inequality and normalization processing. The main contributions are that the relation is firstly analytically established between the observable degree and the estimation performance, and finally the observable degree is normalized in [0,1]. Meanwhile, observable degrees are both given for local state components and the global state. Thereby, we have the conclusion that higher observable degree corresponds to better estimation performance of the Kalman filter. Accordingly, it is potentially hopeful to achieve an effective function to study estimation performance of tracking estimators by directly using the observable degree. Simulation is provided to verify the results on real-time and generality, completeness and consistency/matching of the proposed observable degree analysis.

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Quadratic Optimal Fault Tolerant Control on Wireless Networked Control Systems for Real‐Time Industrial Applications

Cited by 8 publications

References 26 publications

A finite-time-convergent fault-tolerant control and its experimental verification for DTS200 three-tank system

A finite-time-convergent fault-tolerant control and its experimental verification for DTS200 three-tank system

Finite‐time‐convergent fault‐tolerant control for dynamical systems and its experimental verification for DTS200 three‐tank system

Observable Degree Analysis to Match Estimation Performance for Wireless Tracking Networks

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