A Reduced-order Fault Detection Filter Design for Polytopic Uncertain Continuous-time Markovian Jump Systems with Time-varying Delays

Rong, Lihong; Peng, Xiuyan; Zhang, Biao

doi:10.1007/s12555-017-0182-3

Cited by 12 publications

(6 citation statements)

References 32 publications

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“…The system is fractional order stable but is not Hurwitz stable [28][29][30] ing for a class of grippers with continuum arms. First, the fractional order model of continuum arm is proposed.…”

Section: Convergence Algorithm Proof the Following Lyapunov Functionmentioning

confidence: 99%

Fractional Order Control for the Grasping by Coiling

Ivănescu¹,

Mihaela²,

Vladu³

2020

Int J Robot Eng

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The paper studies the grasping control by coiling for a class of grippers with continuum arms. First, the fractional order model of continuum arm is proposed. The viscoelastic components are assimilated by the fractional Kevin-Voigt model and the fractional-order dynamics are inferred. A hybrid control technique with two control loops for position and force control, respectively, is proposed. The Lyapunov method for position control is applied. Sector-type constraints for input torque are implemented and frequential conditions, Popov Circle Criterion, that ensure asymptotic stability, are inferred. A conventional PD controller is proposed for the force control. Numerical simulations illustrate the performances of the control system.

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Section: Convergence Algorithm Proof the Following Lyapunov Functionmentioning

confidence: 99%

Fractional Order Control for the Grasping by Coiling

Ivănescu¹,

Mihaela²,

Vladu³

2020

Int J Robot Eng

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“…Reduced-order filtering is a very important tool in many fields and a great deal of results have been reported. [39][40][41][42][43] To name a few, the problems of reduced-order H ∞ filtering in Reference 40 and reduced-order L 2 − L ∞ filtering have been studied in Reference 41 for MJSs, respectively. Meanwhile, the problem of reduced-order H ∞ filteing has been investigated for SMJSs in Reference 42 and the reduced-order fault detection filtering problem has been considered for MJSs with discrete delays in Reference 43.…”

Section: Introductionmentioning

confidence: 99%

“…Reduced‐order filtering is a very important tool in many fields and a great deal of results have been reported 39–43 . To name a few, the problems of reduced‐order H ∞ filtering in Reference 40 and reduced‐order L 2 − L ∞ filtering have been studied in Reference 41 for MJSs, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…To name a few, the problems of reduced‐order H ∞ filtering in Reference 40 and reduced‐order L 2 − L ∞ filtering have been studied in Reference 41 for MJSs, respectively. Meanwhile, the problem of reduced‐order H ∞ filteing has been investigated for SMJSs in Reference 42 and the reduced‐order fault detection filtering problem has been considered for MJSs with discrete delays in Reference 43. To the authors' best knowledge, the reduced‐order filtering problem based on extended dissipativity for SMJSs with mixed delays has not been investigated until now.…”

Section: Introductionmentioning

confidence: 99%

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A unified filter for singular Markovian jump systems with mixed delays based on an extended free‐matrix‐based inequality approach

Tian

Wang

2020

Adaptive Control & Signal

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In this article, the problem of unified filters design including H ∞ , L 2 − L ∞ , passive, dissipative filters and their reduced-order ones is addressed for continuous-time singular Markovian jump systems with discrete and distributed delays. Unlike some existing works, the mixed delays can be fully captured by proposing an extended free-matrix-based integral inequality. By considering two cases of distributed delays, two novel criteria are presented to ensure the filtering error system to be stochastically admissible and extended dissipative. Some numerical examples are provided to illustrate the effectiveness of the unified filter design methods. K E Y W O R D S extended free-matrix-based integral inequality, singular Markovian jump systems, time-varying delays, unified filters

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“…The exponential stability of nonlinear FOM using the Lyapunov method was analyzed in [24,25]. Other control problems for a class of FOMs with delay were rigorously investigated in [26,27]. Reference [28] proposed an observer for a class of linear and nonlinear FOM using Lyapunov methods.…”

Section: Introductionmentioning

confidence: 99%

Exoskeleton Hand Control by Fractional Order Models

Ivănescu

Popescu

et al. 2019

Sensors

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This paper deals with the fractional order control for the complex systems, hand exoskeleton and sensors, that monitor and control the human behavior. The control laws based on physical significance variables, for fractional order models, with delays or without delays, are proposed and discussed. Lyapunov techniques and the methods that derive from Yakubovici-Kalman-Popov lemma are used and the frequency criterions that ensure asymptotic stability of the closed loop system are inferred. An observer control is proposed for the complex models, exoskeleton and sensors. The asymptotic stability of the system, exoskeleton hand-observer, is studied for sector control laws. Numerical simulations for an intelligent haptic robot-glove are presented. Several examples regarding these models, with delays or without delays, by using sector control laws or an observer control, are analyzed. The experimental platform is presented.

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A Reduced-order Fault Detection Filter Design for Polytopic Uncertain Continuous-time Markovian Jump Systems with Time-varying Delays

Cited by 12 publications

References 32 publications

Fractional Order Control for the Grasping by Coiling

Fractional Order Control for the Grasping by Coiling

A unified filter for singular Markovian jump systems with mixed delays based on an extended free‐matrix‐based inequality approach

Exoskeleton Hand Control by Fractional Order Models

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