Adaptive finite-time fault-tolerant controller for a class of uncertain MIMO nonlinear switched systems subject to output constraints and unknown input nonlinearities

Moradvandi, Ali; Malek, Sayyed Alireza; Shahrokhi, Mohammad

doi:10.1016/j.nahs.2019.100821

Cited by 12 publications

(5 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Example The system of two interconnected reactors with delayed recycle streams used in References 34,53 has been considered as a practical example to test the capability of the proposed control strategy. This system contains unmodeled dynamics, unknown dynamics, as well as unknown external disturbances with switching among two subsystems as used in Reference 44. The non‐strict system is subject to quantized control signals, input nonlinearities, and actuator failures.…”

Section: Simulation Examplesmentioning

confidence: 99%

“…1. In comparison with the existing works, 12,34,43,44 the proposed control algorithm is suitable for a more general form of systems. Designing a fixed-time controller for highly interconnected uncertain MIMO non-strict switched feedback nonlinear systems subject to unknown state delays as well as unknown delayed interactions and dynamical disturbances is a challenging problem that has not been considered before.…”

Section: Introductionmentioning

confidence: 99%

“…The main contribution of this work is developing an adaptive fixed‐time fault‐tolerant decentralized control scheme for such a system. Compared with the existing works, the novelties of the proposed adaptive control strategy can be summarized as given below: In comparison with the existing works, 12,34,43,44 the proposed control algorithm is suitable for a more general form of systems. Designing a fixed‐time controller for highly interconnected uncertain MIMO non‐strict switched feedback nonlinear systems subject to unknown state delays as well as unknown delayed interactions and dynamical disturbances is a challenging problem that has not been considered before. The applied model in this work is such that each state in each subsystem can have interactions with all non‐delayed system states and delayed ones, which makes the system highly interconnected.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Fixed‐time fault‐tolerant control of uncertain MIMO switched interconnected systems subject to state delay, unknown control directions, and quantized nonlinear inputs

Ghoreishee

Shahrokhi

Vafa

et al. 2022

Adaptive Control & Signal

Self Cite

View full text Add to dashboard Cite

Summary This paper investigates design of an adaptive fixed‐time fault‐tolerant decentralized controller for a class of uncertain multi‐input multi‐output (MIMO) switched large‐scale non‐strict interconnected systems under arbitrary switching subject to unknown control directions, quantized nonlinear inputs, actuator failures unknown external disturbances, and unmodeled dynamics. In addition to interconnected terms, time‐varying delayed interconnected terms have been considered in the system model which makes it more general than previous works in the literature. The proposed controller can handle switched systems with unknown switching signal and different types of input nonlinearities including, saturation, backlash, and dead‐zone. The singularity problem in designing the fixed time controller has been solved. The quantizer and actuators fault parameters are assumed to be unknown. The Razumikhin lemma has been used to deal with the delayed interconnected terms. To cope with the system unknown dynamics, neural networks (NNs) have been applied and by updating the maximum norms of the networks weight vectors the computational load has been reduced. The explosion of complexity occurring in the traditional back‐stepping technique has been avoided by applying dynamic surface control (DSC). Finally, by defining an appropriate common Lyapunov function (CLF), fixed‐time convergence of system outputs and the closed‐loop system stability have been established. The effectiveness of the proposed controller has been shown via simulation study.

show abstract

Section: Simulation Examplesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fixed‐time fault‐tolerant control of uncertain MIMO switched interconnected systems subject to state delay, unknown control directions, and quantized nonlinear inputs

Ghoreishee

Shahrokhi

Vafa

et al. 2022

Adaptive Control & Signal

Self Cite

View full text Add to dashboard Cite

show abstract

“…Readers interested in control schemes with non-smooth functions-as in backlash, deadzone, or hysteresis effects-are referred to works in the topic of input nonlinearity (rather than nonaffinity). 16,37,38 However, in case a viable pseudo-affine form for a system with input nonlinearity is obtained, the control scheme presented in this study would be applicable.…”

Section: Problem Presentationmentioning

confidence: 99%

Model predictive tracking control of uncertain moving structures with nonaffine saturated actuation: Rotating control force

Yaqubi

Homaeinezhad

2021

Proceedings of the Institution of Mechanical Engineers, Part G:

View full text Add to dashboard Cite

This article presents a novel scheme for model-based control of multi-input–multi-output (MIMO) systems considering input nonaffinity, nonlinear dynamical effects, and bounded modeling uncertainty. Commonly, model-based control of a nonaffine system is conducted based on an equivalent pseudo-affine expression. However, validity of this approximation necessitates boundedness of inputs and states. Furthermore, existence of truncation errors is inevitable when obtaining the pseudo-affine model. Therefore, robustness to bounded uncertainty should be ensured even in cases where the original system is deterministic. To address the expressed issues, in this study the boundedness assumptions are incorporated in a constrained robust model predictive control (MPC) algorithm. The corresponding MPC scheme is based on construction of cost according to predicted sliding functions over a finite prediction horizon. It should be noted that for the considered class of uncertain nonlinear nonaffine system, obtaining the perquisite robust stability and feasibility conditions is non-trivial. To attain the aforementioned qualities, it is proposed that sliding functions can be expressed as the sum of input-based terms (using pseudo-affine approximation of input gains based on Taylor expansion) and dynamical variation terms. Subsequently, robust stability is ensured by constructing a Lyapunov-based terminal cost. Constraints satisfaction conditions are determined based on calculation of the corresponding feasible region. Numerical simulations for a nonlinear nonaffine mechanical system indicate efficiency of the presented control model. Comparisons with other applicable schemes highlight significant features of the presented algorithm and the attained improvements regarding stability and control feasibility are discussed.

show abstract

“…An adaptive neural controller was designed for output feedback nonlinear systems in [17]. [18], [19] considered an adaptive nonlinear controller based on finite-time strategy. The adaptive neural dynamic surface controller was provided in [20].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Neural Tracking Control for a Class of Pure-Feedback Systems With Output Constraints Based on Event-Triggered Strategy

et al. 2020

View full text Add to dashboard Cite

In this paper, an adaptive event-triggered tracking control problem is considered for a class of pure-feedback nonlinear systems with output constraints. The mean value theorem is used to transform the pure-feedback system in non-affine form into a system in affine form. In addition, the radial basis function neural network (RBF NN) control is used to approximate the unknown nonlinear function in the system and the tracking error of the controller is limited to a small constant boundary by using the positive obstacle Lyapunov function. An adaptive controller for a class of pure-feedback systems is established, which based on the backstepping control theory and event-triggered control theory, it can ensure all the closed-loop signals are bounded and avoid the Zeno-behavior. The simulation results prove the effectiveness of the controller design.INDEX TERMS Pure-feedback nonlinear systems, event-triggered control, output constraints, RBF neural network.

show abstract

Adaptive finite-time fault-tolerant controller for a class of uncertain MIMO nonlinear switched systems subject to output constraints and unknown input nonlinearities

Cited by 12 publications

References 51 publications

Fixed‐time fault‐tolerant control of uncertain MIMO switched interconnected systems subject to state delay, unknown control directions, and quantized nonlinear inputs

Fixed‐time fault‐tolerant control of uncertain MIMO switched interconnected systems subject to state delay, unknown control directions, and quantized nonlinear inputs

Model predictive tracking control of uncertain moving structures with nonaffine saturated actuation: Rotating control force

Adaptive Neural Tracking Control for a Class of Pure-Feedback Systems With Output Constraints Based on Event-Triggered Strategy

Contact Info

Product

Resources

About