Fault‐tolerant sampled‐data mixed ℋ<sub>∞</sub> and passivity control of stochastic systems and its application

Joby, Maya; Sakthivel, R.; Mathiyalagan, K.; Anthoni, S. Marshal

doi:10.1002/cplx.21701

Cited by 8 publications

(4 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Conversely, in the precious works on motion control problem, the input limits and saturation are ignored , which is well managed by anti‐windup compensation introduced in this article. The relative illustrations will be presented in the following. Remark For the electromechanical servo system, there are many other performances and constrains that should be considered for the controller design, such as the time delay in motion system, actuator fault detection and tolerance , the digital control system , and the framework of networked control system . To mention a few, in , the authors combine

ℋ_{\infty}

and passivity control to solve the probabilistic occurrence of time delay and actuator failure problem in a unified way and the controller design is transformed into convex optimization issue and results verify the capacity of

ℋ_{\infty}

technology.…”

Section: Controller Designmentioning

confidence: 90%

“…Like in , Sun invents a filter in finite frequency for vehicle active suspension system and the result achieves perfect disturbance attenuation performance. For the sampled control regime using digital controller, the

ℋ_{\infty}

‐based method is adopted to confront the model vibration, actuator fault, and unknown time delay to improve the robustness of actuators. In addition, other system robustness problem is also a critical problem, such as input saturation .…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Positioning control for a linear actuator with nonlinear friction and input saturation using output‐feedback control

Wang

Lin

2016

Complexity

View full text Add to dashboard Cite

This article deals with the positioning control problem via the output feedback scheme for a linear actuator with nonlinear disturbances. In this study, the proposed controller accounts for not only the nonlinear friction, force ripple, and external disturbance but also the input saturation problem. In detail, the energy consumption for conquering friction and disturbance rejection is estimated and used as compensation based on the hybrid controller including ℋ∞ and sliding‐mode‐based adaptive algorithms, which ensures the tracking performance and robustness of electromechanical servo system. Moreover, to confront the input saturation, a saturation observer and an anti‐windup controller are designed. The global robustness of the controller is guaranteed by an output feedback robust law. Theoretically, the designed controller can guarantee a favorable tracking performance in the presence of various disturbance forces and input saturation, which is essential for high accuracy motion plant in industrial application. The simulation results verify the robustness and effectiveness for the motion system with the proposed control strategy under various operation conditions. © 2016 Wiley Periodicals, Inc. Complexity 21: 191–200, 2016

show abstract

ℋ_{\infty}

ℋ_{\infty}

technology.…”

Section: Controller Designmentioning

confidence: 90%

ℋ_{\infty}

Section: Introductionmentioning

confidence: 99%

Positioning control for a linear actuator with nonlinear friction and input saturation using output‐feedback control

Wang

Lin

2016

Complexity

View full text Add to dashboard Cite

show abstract

“…Definition (Reference 39) The IT‐2 fuzzy closed‐loop system () is asymptotically stable with mixed

H_{\infty}

and passivity performance

γ,

under zero initial condition, if there exists a scalar

γ > 0

such that

{true\int}_{0}^{t} [- γ^{- 1} θ y^{T} (s) y (s) + 2 (1 - θ) y^{T} (s) w (s)] d s \geq - γ {true\int}_{0}^{t} w^{T} (s) w (s) d s,

for all

t > 0

and any nonzero

w (t) \in L_{2} [0, \infty)

, where

θ \in [0, 1]

represents a weighting parameter that defines the trade‐off between

H_{\infty}

and passivity performance.…”

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

Mixed H∞ and passivity guaranteed cost proportional‐integral control for interval‐valued type‐2 fuzzy systems with input delay

Sakthivel

Sri

2022

Optim Control Appl Methods

View full text Add to dashboard Cite

The paper focuses on the problem of mixed H ∞ and passivity guaranteed cost control of an interval-valued type-2 (IT-2) fuzzy system with time-varying input delay and exogenous disturbance. For this, an IT-2 fuzzy-model-based system with a mismatched membership grade function is formulated. The main objective is to design a proportional-integral controller that stimulates our system to attain its equilibrium state even with the occupancy of exogenous disturbance and input delay in the system. In addition, a quadratic cost function is constructed such that the cost function of the closed-loop IT-2 fuzzy system is lower than the upper-bound cost index. Mixed H ∞ and passivity performance indices are then calculated to address the exogenous disturbance in the system. A set of new criteria ensuring the asymptotic stability of the closed-loop IT-2 fuzzy system with input delay are derived in terms of linear matrix inequalities with the aid of Lyapunov stability theory and the employment of a Wirtinger-based inequality. Finally, two example simulations are conducted to validate our theoretical results.

show abstract

“…In , by constructing a probability‐dependent Lyapunov functional and using LMI and free‐weighting matrix techniques, the robust reliable gain‐scheduled control problem for networked control systems in the presence of actuator failures has been studied. Recently, the design problem of mixed

H_{\infty}

and passivity‐based fault‐tolerant sampled‐data controller for a class of stochastic system with actuator failures has been investigated in , where the plant is modeled as a continuous‐time system and the control inputs are implemented as discrete‐time signals.…”

Section: Introductionmentioning

confidence: 99%

Robust reliable L₂ – L_∞ control for continuous‐time systems with nonlinear actuator failures

et al. 2016

View full text Add to dashboard Cite

This article examines the reliable L2 – L∞ control design problem for a class of continuous‐time linear systems subject to external disturbances and mixed actuator failures via input delay approach. Also, due to the occurrence of nonlinear circumstances in the control input, a more generalized and practical actuator fault model containing both linear and nonlinear terms is constructed to the addressed control system. Our attention is focused on the design of the robust state feedback reliable sampled‐data controller that guarantees the robust asymptotic stability of the resulting closed‐loop system with an L2 – L∞ prescribed performance level γ > 0, for all the possible actuator failure cases. For this purpose, by constructing an appropriate Lyapunov–Krasovskii functional (LKF) and utilizing few integral inequality techniques, some novel sufficient stabilization conditions in terms of linear matrix inequalities (LMIs) are established for the considered system. Moreover, the established stabilizability conditions pave the way for designing the robust reliable sampled‐data controller as the solution to a set of LMIs. Finally, as an example, a wheeled mobile robot trailer model is considered to illustrate the effectiveness of the proposed control design scheme. © 2016 Wiley Periodicals, Inc. Complexity 21: 309–319, 2016

show abstract

Fault‐tolerant sampled‐data mixed ℋ_∞ and passivity control of stochastic systems and its application

Cited by 8 publications

References 31 publications

Positioning control for a linear actuator with nonlinear friction and input saturation using output‐feedback control

Positioning control for a linear actuator with nonlinear friction and input saturation using output‐feedback control

Mixed H∞ and passivity guaranteed cost proportional‐integral control for interval‐valued type‐2 fuzzy systems with input delay

Robust reliable L₂ – L_∞ control for continuous‐time systems with nonlinear actuator failures

Contact Info

Product

Resources

About

Fault‐tolerant sampled‐data mixed ℋ∞ and passivity control of stochastic systems and its application

Cited by 8 publications

References 31 publications

Positioning control for a linear actuator with nonlinear friction and input saturation using output‐feedback control

Positioning control for a linear actuator with nonlinear friction and input saturation using output‐feedback control

Mixed H∞ and passivity guaranteed cost proportional‐integral control for interval‐valued type‐2 fuzzy systems with input delay

Robust reliable L2 – L∞ control for continuous‐time systems with nonlinear actuator failures

Contact Info

Product

Resources

About

Fault‐tolerant sampled‐data mixed ℋ_∞ and passivity control of stochastic systems and its application

Robust reliable L₂ – L_∞ control for continuous‐time systems with nonlinear actuator failures