Willems’ Fundamental Lemma provides a powerful data-driven parametrization of all trajectories of a controllable linear time-invariant system based on one trajectory with persistently exciting (PE) input. In this pap...
Willems’ Fundamental Lemma provides a powerful data-driven parametrization of all trajectories of a controllable linear time-invariant system based on one trajectory with persistently exciting (PE) input. In this paper, we present a novel proof of this result which is inspired by the classical adaptive control literature and differs from existing proofs in multiple aspects. The proof involves a quantitative and directional PE notion, allowing to characterize robust PE properties via singular value bounds, as opposed to binary rank- based PE conditions. Further, the proof is constructive, i.e., we derive an explicit PE lower bound for the generated data. As a contribution of independent interest, we generalize existing PE results from the adaptive control literature and reveal a crucial role of the system’s zeros.
The absolute stability of a Lurye system with a monotone nonlinearity is guaranteed by the existence of a suitable $\mathbf{O}$ 'Shea − Zames-Falb (OZF) multiplier. A numerically tractable phase condition has re...
The absolute stability of a Lurye system with a monotone nonlinearity is guaranteed by the existence of a suitable $\mathbf{O}$ 'Shea − Zames-Falb (OZF) multiplier. A numerically tractable phase condition has recently been proposed under which there can be no suitable OZF multiplier for the transfer function of a given continuous-time plant. The condition has been derived via the so-called duality approach. Here we show that the condition may also be derived from an established frequency interval approach providing an important link between the two hitherto distinct approaches. We show that it leads to significantly improved results compared with the frequency interval approach on a benchmark example.
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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Laser Interferometer Gravitational wave Observatory (LIGO) is a gravitational wave antenna used to detect the infinitesimal contraction and expansion of space by a passing gravitational wave. LIGO comprises several su...
Laser Interferometer Gravitational wave Observatory (LIGO) is a gravitational wave antenna used to detect the infinitesimal contraction and expansion of space by a passing gravitational wave. LIGO comprises several subsystems which isolate the optics from seismic noise. Of these, we focus on the quadruple pendulum suspension system and attempt to design a stabilizing controller for a simpler version of the system, the two wire simple pendulum. A nonlinear model of the two wire simple pendulum based on the Euler-Lagrange theory is derived. This is linearised about an equilibrium and a stabilising controller using a robust control paradigm called $H_{\infty} $ synthesis, is explored as a candidate design paradigm for the two wire simple pendulum. In particular, in this broad framework of $H_{\infty} $ synthesis we adopt a technique called coprime factorisation. Different types of uncertainties like parametric and nonlinear uncertainties have also been considered and an upper bound on the nonlinear uncertainties in the system is determined
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.
In order to identify the characteristics of unknown objects, humans-in contrast to robotic systems-are experts in exploiting their sensory and motoric abilities to refine visual information via haptic perception. Whil...
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In the CNC machine tool industry, cutting fluid is a crucial component of the machining process. Nevertheless, as the duration of cutting fluid use increases, its performance progressively deteriorates, presenting a s...
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ISBN:
(数字)9798350354904
ISBN:
(纸本)9798350354911
In the CNC machine tool industry, cutting fluid is a crucial component of the machining process. Nevertheless, as the duration of cutting fluid use increases, its performance progressively deteriorates, presenting a significant challenge that necessitates resolution. This study introduces an innovative intelligent monitoring system designed to optimize the preparation of cutting fluid in CNC machine tools. The aim is to extend the fluid’s service life, mitigate tool wear, and address issues arising from fluid degradation. The system integrates a heating plate, sensors, pumping motors, and embedded systems to monitor and manage the cutting fluid effectively. Testing was conducted using a customdesigned container, and data analysis identified the optimal supply strategy, thereby extending the usable lifespan of the cutting fluid. This system enhances production longevity and allows for the configuration of containers with appropriate capacities based on specific requirements, ensuring consistent and high-quality production.
The videoscope (VS) images have poor quality and low contrast. Hence, in this paper, three proposed frameworks to improve the quality of VS images are presented. The first framework depends on contrast-limited adaptiv...
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Navigating a collision-free, optimal path for a robot poses a perpetual challenge, particularly in the presence of moving objects such as humans. In this study, we formulate the problem of finding an optimal path as a...
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DURING our discussion at workshops for writing“What Does ChatGPT Say:The DAO from Algorithmic Intelligence to Linguistic Intelligence”[1],we had expected the next milestone for Artificial Intelligence(AI)would be in...
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DURING our discussion at workshops for writing“What Does ChatGPT Say:The DAO from Algorithmic Intelligence to Linguistic Intelligence”[1],we had expected the next milestone for Artificial Intelligence(AI)would be in the direction of Imaginative Intelligence(II),i.e.,something similar to automatic wordsto-videos generation or intelligent digital movies/theater technology that could be used for conducting new“Artificiofactual Experiments”[2]to replace conventional“Counterfactual Experiments”in scientific research and technical development for both natural and social studies[2]-[6].Now we have OpenAI’s Sora,so soon,but this is not the final,actually far away,and it is just the beginning.
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