Domain of attraction analysis of a controlled hybrid reactor model

Rozgonyi, Szabolcs; Hangos, Katalin M.

doi:10.1016/j.anucene.2011.01.023

Cited by 4 publications

(3 citation statements)

References 22 publications

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“…The term 'overall Lyapunov function' is used for the Lyapunov function that results from the addition of several quadratic or positive forms and whose time derivative indicates the convergence result of some state. This term is also used in [32,33]. Notice that this condition is only fulfilled by V zθx1 , as follows from Equation (11).…”

Section: Convergence Of the Observer Error For The Known Statementioning

confidence: 99%

“…The bioreactor is simulated using model ( 27)-( 29) with plant model terms and parameters (30), whereas the observer (3)-( 5) is simulated using the plant model terms and parameters given by Equation (33), and the values of observer parameters given by Equation (34), and it is observed that (Figure 6 So that 𝑓 𝑓 * . The bioreactor is simulated using model ( 27)-( 29) with plant model terms and parameters (30), whereas the observer (3)-( 5) is simulated using the plant model terms and parameters given by Equation (33), and the values of observer parameters given by Equation (34), and it is observed that (Figure 6 6. Discussion and Conclusions…”

Section: Second Example: Estimation Of Biomass Growth Ratementioning

confidence: 99%

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A Simplified Algorithm for Setting the Observer Parameters for Second-Order Systems with Persistent Disturbances Using a Robust Observer

Rincón

Hoyos

Candelo-Becerra

2022

Sensors

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The properties of the convergence region of the estimation error of a robust observer for second-order systems are determined, and a new algorithm is proposed for setting the observer parameters, considering persistent but bounded disturbances in the two observation error dynamics. The main contributions over closely related studies of the stability of state observers are: (i) the width of the convergence region of the observer error for the unknown state is expressed in terms of the interaction between the observer parameters and the disturbance terms of the observer error dynamics; (ii) it was found that this width has a minimum point and a vertical asymptote with respect to one of the observer parameters, and their coordinates were determined. In addition, the main advantages of the proposed algorithm over closely related algorithms are: (i) the definition of observer parameters is significantly simpler, as the fulfillment of Riccati equation conditions, solution of LMI constraints, and fulfillment of eigenvalue conditions are not required; (ii) unknown bounded terms are considered in the dynamics of the observer error for the known state. Finally, the algorithm is applied to a model of microalgae culture in a photobioreactor for the estimation of biomass growth rate and substrate uptake rate based on known concentrations of biomass and substrate.

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Section: Convergence Of the Observer Error For The Known Statementioning

confidence: 99%

Section: Second Example: Estimation Of Biomass Growth Ratementioning

confidence: 99%

A Simplified Algorithm for Setting the Observer Parameters for Second-Order Systems with Persistent Disturbances Using a Robust Observer

Rincón

Hoyos

Candelo-Becerra

2022

Sensors

View full text Add to dashboard Cite

show abstract

“…Some recent research works on this topic [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Linear and nonlinear stability in nuclear reactors with delayed effects

Bučys

Švitra

Vilkytė

2013

NAMC

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The research of a nuclear reactor model has been observed, where the system consists of two differential equations with one delay. A linear analysis has been performed, the asymptotic stability model of the area D0 and D2 has been defined, in which a stable periodic solution of one frequency appears. In the nonlinear analysis the analytical expression of the solution is presented with the help of bifurcation theories. In the numerical experiment using the scientific simulation program “Model Maker” numerical Runge–Kutta IV series method asymptotically stable solution and a stable periodic solution has been received and compared to the stable periodic solution received in nonlinear analysis with the help of bifurcation theories.

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Domain-of-attraction estimation for uncertain non-polynomial systems

Yang

Wang

2014

Communications in Nonlinear Science and Numerical Simulation

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In this paper, we consider the problem of computing estimates of the domain-ofattraction for non-polynomial systems. A polynomial approximation technique, based on multivariate polynomial interpolation and error analysis for remaining functions, is applied to compute an uncertain polynomial system, whose set of trajectories contains that of the original non-polynomial system. Experiments on the benchmark nonpolynomial systems show that our approach gives better estimates of the domain-ofattraction.

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Domain of attraction analysis of a controlled hybrid reactor model

Cited by 4 publications

References 22 publications

A Simplified Algorithm for Setting the Observer Parameters for Second-Order Systems with Persistent Disturbances Using a Robust Observer

A Simplified Algorithm for Setting the Observer Parameters for Second-Order Systems with Persistent Disturbances Using a Robust Observer

Linear and nonlinear stability in nuclear reactors with delayed effects

Domain-of-attraction estimation for uncertain non-polynomial systems

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