Robust sliding mode fuzzy control for perturbed nonlinear stochastic systems subject to input and state requirements

Qiao, Hong-Yu; Chang, Wen‐Jer; Ku, Cheung-Chieh

doi:10.3233/jifs-16765

Cited by 3 publications

(3 citation statements)

References 31 publications

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“…Based on membership functions, the fuzzy controller for the nonlinear system can be obtained by “blending” from the linear controllers of each rule. In addition, the stability analysis and controller design problem of fuzzy systems can be transformed into the linear matrix inequality (LMI) [10] problems. After reinterpreting the control problem as an LMI problem, one can find the solutions of the Lyapunov sufficient conditions can be found for fuzzy control systems.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy controller design for nonlinear singular systems with external noises subject to passivity constraints

Chang

Varadarajan

2020

Asian Journal of Control

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This paper applies the state derivative feedback method and proportional plus derivative state feedback method to design the fuzzy controllers for the nonlinear singular systems with external noises. The Takagi‐Sugeno fuzzy modeling technology is employed in this paper to represent the nonlinear singular systems with external noise. Considering the singular Takagi‐Sugeno fuzzy model, the passivity constraint is chosen to treat the external noises for the controlled systems. By using the parallel distributed compensation method, the fuzzy controller is designed to satisfy the Lyapunov stability conditions and passivity constraints simultaneously. These sufficient conditions can be effectively solved in terms of linear matrix inequalities, which can be solved via the convex optimization technique. At last, some numerical examples are provided to verify the applicability and effectivity of the proposed fuzzy controller design methods.

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Section: Introductionmentioning

confidence: 99%

Fuzzy controller design for nonlinear singular systems with external noises subject to passivity constraints

Chang

Varadarajan

2020

Asian Journal of Control

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“…Based on a series of IF-THEN rules, a T-S fuzzy model could approach a nonlinear system with an arbitrary accuracy [4]. This modeling philosophy has been adopted in many complex nonlinear systems [5], [6].…”

Section: Introductionmentioning

confidence: 99%

“…Taking the T-S fuzzy model as a plant, control designs were investigated widely, and numerous outstanding research results were published consequently [5]- [13]. Here, in order to introduce the work in this paper, the part of studies that are related to the stability analysis and robust control designs is focused on.…”

Section: Introductionmentioning

confidence: 99%

A Hierarchical Robust Control Design With Non-Parallel Distributed Compensator and Application to Aircraft Engines

Pan

Wang

et al. 2019

IEEE Access

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This paper proposes a hierarchical multivariable robust control design for a class of uncertain nonlinear dynamic system. The dynamic system is described by an uncertain T-S fuzzy model. The uncertainties in the model are structure matched and norm-bounded. For this fuzzy model, a hierarchical robust control consisting of two level compensators is presented. While the level 1 compensator ensures the basic robust performance, the level 2 compensator restrains the uncertainty. Under this design, the controlled system is uniformly bounded and uniformly ultimately bounded. To illustrate the design approach, the application to a multivariable control of turbofan engines is discussed. The semi-physical simulations of the controlled turbofan show that the resulting control is able to guarantee the prescribed boundedness in a more practical condition.

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Fuzzy Control with Pole Assignment and Variance Constraints for Continuous-time Perturbed Takagi-Sugeno Fuzzy Models: Application to Ship Steering Systems

Chang

Lin

et al. 2019

Int. J. Control Autom. Syst.

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Robust sliding mode fuzzy control for perturbed nonlinear stochastic systems subject to input and state requirements

Cited by 3 publications

References 31 publications

Fuzzy controller design for nonlinear singular systems with external noises subject to passivity constraints

Fuzzy controller design for nonlinear singular systems with external noises subject to passivity constraints

A Hierarchical Robust Control Design With Non-Parallel Distributed Compensator and Application to Aircraft Engines

Fuzzy Control with Pole Assignment and Variance Constraints for Continuous-time Perturbed Takagi-Sugeno Fuzzy Models: Application to Ship Steering Systems

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