Model-based Predictive and Backstepping controllers for a state coupled four-tank system with bounded control inputs: A comparative study

Gouta, Houssemeddine; Said, Salim Hadj; M’Śahli, Faouzi

doi:10.1016/j.jfranklin.2015.08.004

Cited by 32 publications

(10 citation statements)

References 34 publications

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“…In real applications, system performance is severely limited because of the input constraints. In recent years, many control methods have been developed for integer-order systems subjected to input constraints (Azinheira and Moutinho, 2008; Gouta et al, 2015; Li et al, 2014b, 2015, 2016; Wang et al, 2014; Yang et al, 2015). For instance, a bounded fuzzy controller has been developed for the system with model uncertainty and input/state constraints by Chen et al (2011).…”

Section: Introductionmentioning

confidence: 99%

Adaptive constrained sliding mode control of uncertain nonlinear fractional-order input affine systems

Moghaddam

Nikravesh

Khosravi

2019

Journal of Vibration and Control

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This paper addresses asymptotic stabilization of uncertain nonlinear fractional-order systems with bounded inputs in the presence of model uncertainties and external disturbances. To develop the idea, it is assumed that the upper bound of perturbations is a nonlinear function of the pseudostates norm in which its coefficients are unknown and are obtained via proposed adaptive laws. The main contribution of this paper is to develop a new bounded fractional-order chattering free adaptive sliding mode control in which the system states converge to the sliding surface at a predefined finite time. The stability of the closed-loop system with the proposed control scheme is guaranteed by the Lyapunov theory. Furthermore, for more clarification, a comparison with the classical integer-order case is also presented; finally, some practical simulation results are provided to show the effectiveness of the proposed control algorithm.

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Section: Introductionmentioning

confidence: 99%

Adaptive constrained sliding mode control of uncertain nonlinear fractional-order input affine systems

Moghaddam

Nikravesh

Khosravi

2019

Journal of Vibration and Control

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“…The superiority of the proposed control is compared with well-tuned decentralized PI and other centralized controllers. It may be noted in this context that the quadruple-tank system is widely used in the literature for studying advanced control methodologies, such as sliding mode control technique, 15 backstepping control, 16 μ synthesis-based H ∞ control, 17,18 distributed model predictive controller, 19–21 nonlinear model predictive controller with observer, 22,23 embeded model control, 24 adaptive fractional order PI, and adaptive feedforward controller. 25 The existing MIMO PID design approaches are also applied to the quadruple-tank system.…”

Section: Introductionmentioning

confidence: 99%

Two-degree-of-freedom multi-input multi-output proportional–integral–derivative control design: Application to quadruple-tank system

Pradhan

Garg

Bhende

2018

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article is concerned with designing a 2-degree-of-freedom multi-input multi-output proportional–integral–derivative controller to ensure linear quadratic regulator performance and H∞ performance using a non-iterative linear matrix inequality–based method. To design the controller, first, a relation between the state feedback gain and proportional–integral–derivative gain is obtained. As the gains of proportional–integral–derivative controller cannot, in general, be found out from this relation for arbitrary stabilizing state feedback gain, a suitable form of the matrices involved in linear matrix inequality–based state feedback design is then chosen to obtain the proportional–integral–derivative gains directly. The special structure of the above matrices allows one to design proportional–integral–derivative controller in non-iterative manner. As a result, multi-objective performances, such as linear quadratic regulator and H∞, can be achieved simultaneously without increasing the computational burden much. To enhance the reference-input-to-output characteristics, a feedforward gain is also introduced and designed to minimize certain closed-loop H∞ performance. The proposed control design method is applied for multi-input multi-output proportional–integral compensation of a laboratory-based quadruple-tank process. The performance of the compensation is studied through extensive simulations and experiments.

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“…A fast gradient-based distributed optimization approach was applied to a hierarchical and distributed model predictive control in [12]. Nonlinear generalized predictive control and back-stepping approach were applied and tested in [13].…”

Section: Introductionmentioning

confidence: 99%

The four-tank control problem: Comparison of two disturbance rejection control solutions

2017

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The paper aims to compare and prove a pair of disturbance/uncertainty rejection control laws for the well-known four tank control problems. Control requirements are expressed in terms of a set point sequence as it usual in the literature. Uncertainty class is defined as the union of four sub-classes: unknown disturbance, parametric uncertainty, measurement errors and neglected dynamics. Modelling and design allow insight of the dynamic properties of the problem. They are formulated by a pair of theorems which fix the range of application. Theorem are confirmed by the results simulated runs, and indicate the correct way to further broaden control design applicability. Disturbance rejection (better uncertainty) design is deployed using the Embedded Model Control methodology: only unknown disturbance and parametric uncertainty can be rejected, whereas neglected dynamics effects must be filtered. As a result, simple performance and stability inequality can be formulated in the frequency domain and lead to closed-loop pole placement. Inequalities are such to reveal whether pole placement is feasible and how feasibility can be recovered, an issue which at authors knowledge is rarely encountered in the literature. Simulated runs prove the design procedure.

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Model-based Predictive and Backstepping controllers for a state coupled four-tank system with bounded control inputs: A comparative study

Cited by 32 publications

References 34 publications

Adaptive constrained sliding mode control of uncertain nonlinear fractional-order input affine systems

Adaptive constrained sliding mode control of uncertain nonlinear fractional-order input affine systems

Two-degree-of-freedom multi-input multi-output proportional–integral–derivative control design: Application to quadruple-tank system

The four-tank control problem: Comparison of two disturbance rejection control solutions

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