In a real Hilbert space setting, we investigate the asymptotic behavior of the solutions of the nonautonomous Arrow-Hurwicz differential system. We show that its solutions weakly converge in average towards a saddle p...
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ISBN:
(数字)9798350316339
ISBN:
(纸本)9798350316346
In a real Hilbert space setting, we investigate the asymptotic behavior of the solutions of the nonautonomous Arrow-Hurwicz differential system. We show that its solutions weakly converge in average towards a saddle point of some limiting closed convex-concave bifunction provided that the associated gap function vanishes sufficiently fast. If, in addition, the limiting saddle function verifies a strict convexity-concavity condition, we find that the solutions of the nonautonomous Ar-row-Hurwicz differential system not only converge in an ergodic sense, but in fact admit a weak limit. Numerical experiments illustrate our theoretical findings.
By means of the linear parameter-varying (LPV) Fundamental Lemma, we derive novel data-driven predictive control (DPC) methods for LPV systems. In particular, we present output-feedback and state-feedback-based LPV-DP...
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Nowadays, modular multilevel converters (MMCs) with AC voltage output, i.e., AC/AC MMCs, have emerged as a promising alternative for grid-connected applications. Among them, MMCs operating under square waves, i.e., AC...
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ISBN:
(数字)9798350385236
ISBN:
(纸本)9798350385243
Nowadays, modular multilevel converters (MMCs) with AC voltage output, i.e., AC/AC MMCs, have emerged as a promising alternative for grid-connected applications. Among them, MMCs operating under square waves, i.e., AC/SQR MMCs, present a unique advantage, i.e., having lower pulsating power and fewer modules. However, tracking nonlinear periodic references, i.e., the square-shaped signals, imposes some challenges when designing the MMC controller. This paper proposes a multivariable controller, i.e., static feedback gain, designed to regulate the currents of the AC/SQR MMC. To address the nonlinear dynamics resulting from square-shaped signals, we use the Fourier expansion to create a linear model of the system. Employing the obtained model, a linear matrix inequality (LMI) is solved for synthesizing a controller that guarantees exponential convergence and constraint satisfaction inside a domain of attraction. Simulation validation is conducted on a high-fidelity model built on Simulink/PLECS of a downscaled MMC prototype dedicated to ultra-fast charging of electric vehicles. Finally, we show the efficacy of the controller in keeping low pulsating power, i.e., 44.4% lower than the AC/AC MMCs.
Large commercial complex projects have the characteristics of large roof area and high electricity price, and the development of distributed photovoltaic power generation has great potential. In this paper, a feasibil...
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Well-designed current control is a key factor in ensuring the efficient and safe operation of modular multilevel converters (MMCs). Even though this control problem involves multiple control objectives, conventional c...
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Continuous-time adaptive controllers for systems with a matched uncertainty often comprise an online parameter estimator and a corresponding parameterized controller to cancel the uncertainty. However, such methods ar...
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ISBN:
(数字)9798350316339
ISBN:
(纸本)9798350316346
Continuous-time adaptive controllers for systems with a matched uncertainty often comprise an online parameter estimator and a corresponding parameterized controller to cancel the uncertainty. However, such methods are often impossible to implement directly, as they depend on an unobserved estimation error. We consider the equivalent discrete-time setting with a causal information structure, and propose a novel, online proximal point method-based adaptive controller, that under a sufficient excitation (SE) condition is asymptotically stable and achieves finite regret, scaling only with the time required to fulfill the SE. We show the same also for the widely-used recursive least squares with exponential forgetting controller under a stronger persistence of excitation condition.
The article presents the concept of a hybrid network topology in the enterprises with the use of a solar power plant and energy storage as well as a drive frequency converter for charging of transportation battery of ...
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Very recently,intensive discussions and studies on Industry 5.0 have sprung up and caused the attention of researchers,entrepreneurs,and policymakers from various sectors around the ***,there is no consensus on why an...
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Very recently,intensive discussions and studies on Industry 5.0 have sprung up and caused the attention of researchers,entrepreneurs,and policymakers from various sectors around the ***,there is no consensus on why and what is Industry 5.0 *** this paper,we define Industry 5.0from its philosophical and historical origin and evolution,emphasize its new thinking on virtual-real duality and human-machine interaction,and introduce its new theory and technology based on parallel intelligence(PI),artificial societies,computational experiments,and parallel execution(the ACP method),and cyber-physical-social systems(CPSS).Case studies and applications of Industry 5.0 over the last decade have been briefly summarized and analyzed with suggestions for its future *** believe that Industry 5.0 of virtual-real interactive parallel industries has great potentials and is critical for building smart *** are outlined to ensure a roadmap that would lead to a smooth transition from CPS-based Industry 4.0 to CPSS-based Industry 5.0 for a better world which is Safe in physical spaces,S ecure in cyberspaces,Sustainable in ecology,Sensitive in individual privacy and rights,Service for all,and Smartness of all.
This paper proposes a time-varying matrix solution to the Brockett stabilization problem. The key matrix condition shows that if the system matrix product CB is a Hurwitz H-matrix, then there exists a time-varying dia...
This paper proposes a time-varying matrix solution to the Brockett stabilization problem. The key matrix condition shows that if the system matrix product CB is a Hurwitz H-matrix, then there exists a time-varying diagonal gain matrix K(t) such that the MIMO minimum-phase linear system with decentralized output feedback is exponentially convergent. The proposed solution involves several analysis tools such as diagonal stabilization properties of special matrices, stability conditions of diagonal-dominant linear systems, and solution bounds of linear time-varying integro-differential systems. A review of other solutions to the general Brockett stabilization problem (for a general unstructured time-varying gain matrix K(t)) and a comparison study are also provided.
We consider the problem of approximating flow functions of continuous-time dynamical systems with inputs. It is well-known that continuous-time recurrent neural networks are universal approximators of this type of sys...
We consider the problem of approximating flow functions of continuous-time dynamical systems with inputs. It is well-known that continuous-time recurrent neural networks are universal approximators of this type of system. In this paper, we prove that an architecture based on discrete-time recurrent neural networks universally approximates flows of continuous-time dynamical systems with inputs. The required assumptions are shown to hold for systems whose dynamics are well-behaved ordinary differential equations and with practically relevant classes of input signals. This enables the use of off-the-shelf solutions for learning such flow functions in continuous-time from sampled trajectory data.
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