Generalized predictive control for a coupled four tank MIMO system using a continuous-discrete time observer

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

doi:10.1016/j.isatra.2016.11.021

Cited by 32 publications

(22 citation statements)

References 28 publications

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“…The matrices N 12 , N 22 and thus the matrix N 2 are arbitrarily chosen; by solving system (35) with respect to the matrices N 11 , N 21 , L 1 , L 2 or, directly, by means of (36), these four matrices are obtained; the matrices N, J and L are then calculated with (31). Matrices E and H are computed by solving system (38).…”

Section: Theorem 7 Consider the Lti Multivariable (1) Under The Assumentioning

confidence: 99%

“…This system is composed of four coupled tanks, two pumps, and two valves [35]. Many research papers have been devoted to the problem of observer and controller design of this benchmark system without consideration of time delays [37][38][39][40][41][42][43] and to the best of our information, no researches have been investigated for unknown input observer design of time-delay quadruple-tank systems.…”

Section: Introductionmentioning

confidence: 99%

“…From the fourth equation of system(38), we obtain H12 = I p − C 2 +C 1 (C 1C1 ) + C 1C2 ;by concatenation of the matrices E 1 , E 2 , H 11 , H 21 , H 12 = 0 q×(s−p) and H 22 = 0 p×(s−p), the last two equations (31) result. Now, the proof of the Theorem 7 is complete.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Full and Reduced-Order Unknown Input Observer Design for Linear Time-Delay Systems with Multiple Delays

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Section: Theorem 7 Consider the Lti Multivariable (1) Under The Assumentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Full and Reduced-Order Unknown Input Observer Design for Linear Time-Delay Systems with Multiple Delays

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et al. 2018

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“…Theorem 3.1. Consider the conformable fractional-order system (2) in its healthy operating case (f = 0), under assumption 1 and the observer (5). If there exist matrices X and P = P T > 0 and positive scalars β and η such that the condition (7) is feasible, then the error origin e = 0 is globally fractional exponential stable.…”

Section: The Healthy Operating Casementioning

confidence: 99%

“…Observers are regarded as very important structures in control theory, with the fundamental task of reconstructing the states. Note that these estimators have been widely used in other advanced tasks, such as control problems [1][2][3]. For many decades, the observer-based state estimation problem has been extensively investigated for integer-order nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

State estimation for nonlinear conformable fractional‐order systems: A healthy operating case and a faulty operating case

Jmal¹,

Elloumi

Naifar³

et al. 2019

Asian Journal of Control

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The issue of estimating states for classical integer‐order nonlinear systems has been widely addressed in the literature. Yet, generalization of existing results to the fractional‐order framework represents a fertile area of research. Note that, recently, a new and advantageous type of fractional derivative, the conformable derivative, was defined. So far, the general query of designing observers for conformable fractional‐order systems has not been investigated. In addition, it has been proved in the literature that some important tools for stability analysis of fractional‐order systems are valid using the conformable derivative concept, but invalid using other fractional derivative concepts. Motivated by the cited facts, this paper presents a first‐state estimation scheme for fractional‐order systems under the conformable derivative concept. A healthy operating case and a faulty operating case are treated. In this paper, a version of Barbalat's lemma, which is invalid using the well‐known Caputo derivative, is exploited to prove the convergence of the estimation errors. In order to validate the theoretical results, a numerical example is studied in the simulation section.

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Near‐optimal control of a class of output‐constrained systems using recurrent neural network: A control‐barrier function approach

Rad-Moghadam

Farrokhi

2023

Optim Control Appl Methods

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This paper proposes a near‐optimal controller design for the constrained nonlinear affine systems based on a Recurrent Neural Network (RNN) and Extended State Observers (ESOs). For this purpose, after defining a finite‐horizon integral‐type performance index, the prediction over the horizon is performed using the Taylor expansion that converts the primary problem into a finite‐dimensional optimization. In comparison with other controllers of the similar structure, the proposed method is capable of dealing with output constraints by employing the Control Barrier Function (CBF). The class of the output and input constraints are of the box‐type. Moreover, whereas several safe control approaches are proposed regardless of the performance of the closed‐loop system, this paper aims at achieving a near‐optimal performance as far as the constraints permit. As a result, a constrained optimization problem is achieved, where the online solution is obtained using a rapidly convergent RNN. Stability and the ease of implementation are some of the advantages of this network making the algorithm more reliable. Moreover, integrated stability analysis of the closed‐loop system that includes the dynamic RNN reveals that the closed‐loop system is stable in the sense of the Lyapunov stability theory. The effectiveness of the proposed control method in terms of the tracking performance and constraint satisfaction is illustrated through a simulating example of two‐inverted pendulums system. The results indicated advantages of the proposed method as compared with the recently published methods in well‐known literature.

show abstract

Generalized predictive control for a coupled four tank MIMO system using a continuous-discrete time observer

Cited by 32 publications

References 28 publications

Full and Reduced-Order Unknown Input Observer Design for Linear Time-Delay Systems with Multiple Delays

Full and Reduced-Order Unknown Input Observer Design for Linear Time-Delay Systems with Multiple Delays

State estimation for nonlinear conformable fractional‐order systems: A healthy operating case and a faulty operating case

Near‐optimal control of a class of output‐constrained systems using recurrent neural network: A control‐barrier function approach

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