Nonlinear H-Infinity Model Reference Controller Design

Ali, Hazem I.; Mhmood, Ali H.

doi:10.15866/ireaco.v14i1.20301

Cited by 4 publications

(18 citation statements)

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“…It is appropriately manipulated to develop a proper time response. The asymptotic tracking duty involves the design of a control law that meets the following criterion [18][19][20]:…”

Section: Optimal Nonlinear Robust Controller Designmentioning

confidence: 99%

“…( 11) shows that the system has mismatched perturbations in the two upper subsystems (𝑅 ̇𝑟(𝑡) and 𝐼 ̇𝑟(𝑡)). Such perturbations cannot be directly compensated by the control input unless the system model is rewritten in an equivalent controllable structure, where the matching conditions are relaxed, and the nonlinearity and uncertainty (system perturbations) appear in the same subsystem channel of 𝛽(𝑢(𝑡)) [18][19][20]. Thus, a state variable transformation is applied using the following diffeomorphism mapping [12,[18][19][20]:…”

Section: Optimal Nonlinear Robust Controller Designmentioning

confidence: 99%

“…In this sense, an exact linearization is realized, and the uncertain nonlinear dynamics of the system are algebraically converted to a corresponding uncertain linear model. After that, the robust part is developed to address the uncertainty of the system [20]. Hence, let:…”

Section: Optimal Nonlinear Robust Controller Designmentioning

confidence: 99%

“…The uncertainties in 𝜖 and 𝜎 arise due to variations in their real values from the reported (nominal) ones since there is a probable disparity between the actual and reported (tested) numbers of infected people. Therefore, the robust part of the control law is designed using an efficient robust control approach that is the Hinfinity state feedback control [20], where the parametric uncertainties are first extracted from the system's nominal model and a customized term is formed for them, then their input is treated as an exogenous signal. The uncertain parameters 𝜖 and 𝜎 are described as follows [18][19][20]:…”

Section: Optimal Nonlinear Robust Controller Designmentioning

confidence: 99%

“…Therefore, the robust part of the control law is designed using an efficient robust control approach that is the Hinfinity state feedback control [20], where the parametric uncertainties are first extracted from the system's nominal model and a customized term is formed for them, then their input is treated as an exogenous signal. The uncertain parameters 𝜖 and 𝜎 are described as follows [18][19][20]:…”

Section: Optimal Nonlinear Robust Controller Designmentioning

confidence: 99%

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WITHDRAWN: Control of the COVID-19 System by Vaccination Using a New Control Engineering Technique

Ali

Mhmood

2022

Preprint

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In this work, a novel control engineering method is proposed to achieve a control strategy by vaccination for the COVID-19 epidemic. A proper mathematical model with vaccination control is developed for the COVID-19 system based on the Susceptible-Exposed-Infectious-Recovered (SEIR) epidemiological model after conducting some analyses and assumptions that reflect the COVID-19 features. Then, the proposed control law is designed using the feedback linearization approach and the H-infinity control framework. In addition, a model reference control is incorporated to ensure that satisfactory time responses are obtained. The Black Hole Optimization (BHO) technique is used to attain the optimality of the proposed control method. Following that, the reported statistics and vaccination plan of the Lombardy region of Italy are utilized to assess the effectiveness of the proposed control law. Ultimately, the simulation results illustrate that the proposed control law can effectively control the COVID-19 system and correctly perform the vaccination plan by tackling the system’s nonlinearity and uncertainty and realizing elegant asymptotic tracking characteristics with reasonable control effort.

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“…It is appropriately manipulated to develop a proper time response. The asymptotic tracking duty involves the design of a control law that meets the following criterion [18][19][20]:…”

Section: Optimal Nonlinear Robust Controller Designmentioning

confidence: 99%

Section: Optimal Nonlinear Robust Controller Designmentioning

confidence: 99%

Section: Optimal Nonlinear Robust Controller Designmentioning

confidence: 99%

Section: Optimal Nonlinear Robust Controller Designmentioning

confidence: 99%

Section: Optimal Nonlinear Robust Controller Designmentioning

confidence: 99%

See 3 more Smart Citations

WITHDRAWN: Control of the COVID-19 System by Vaccination Using a New Control Engineering Technique

Ali

Mhmood

2022

Preprint

Self Cite

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Full State Feedback H-Infinity Controller Design for Nonlinear Systems

Tayyeh¹,

Ali²

2022

JESA

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Real world systems are inherently nonlinear in nature. Over the last few decades, nonlinear systems are regarded as the most significant issue in control theory. In this work, a nonlinear full state feedback H-infinity controller is proposed for nonlinear systems. The black hole optimization method (BHO) is used as an effective optimization technique to find the optimal parameters for the proposed controller based on the proposed cost function. The suggested controller gain matrix is computed by solving the H-infinity algebraic Riccati equation. As case studies, two types of nonlinear systems are demonstrated to demonstrate the utility of the proposed controller. Finally, simulation findings show that the suggested nonlinear controller improves the stability and performance of nonlinear systems by compensating them and compelling their states to track the reference input asymptotically with a workable and feasible control action.

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Design of Robust Controller for Nonlinear Systems

Tayyeh¹,

Ali²

2023

MMEP

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In this study, a nonlinear robust state feedback based on H-infinity controller for nonlinear systems is constructed. On the basis of a proposed cost function, the black hole optimization (BHO) method is employed as a successful optimization approach to discover the optimum parameters with relation to the proposed controller. Solving the H-infinity algebraic Riccati equation yields the recommended controller gain matrix. To demonstrate the efficacy of the suggested controller, two categories of nonlinear systems are provided as case studies. Lastly, the simulation findings reveal that the proposed nonlinear controller is capable and enhances the performance and stability of the nonlinear systems.

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Nonlinear H-Infinity Model Reference Controller Design

Cited by 4 publications

References 0 publications

WITHDRAWN: Control of the COVID-19 System by Vaccination Using a New Control Engineering Technique

WITHDRAWN: Control of the COVID-19 System by Vaccination Using a New Control Engineering Technique

Full State Feedback H-Infinity Controller Design for Nonlinear Systems

Design of Robust Controller for Nonlinear Systems

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