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Robust matrix commutator conditions for stability of switched linear systems under restricted switching

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arXiv 2019年

作者： KUNDU, ATREYEE CHATTERJEE, DEBASISH Department of Electrical Engineering Indian Institute of Science Bangalore Bengaluru560012 India Systems and Control Engineering Indian Institute of Technology Bombay Mumbai400076 India

This article treats global uniform exponential stability (GUES) of discrete-time switched linear systems under restricted switching. Given admissible minimum and maximum dwell times, we provide sufficient conditions on the subsystems under which they admit a set of switching signals that obeys the given restrictions on dwell times and preserves stability of the resulting switched system. Our analysis relies on combinatorial arguments applied to matrix commutators and avoids the employment of Lyapunov-like functions. The proposed set of stabilizing switching signals is characterized in terms of duration of activation of Schur stable subsystems and non-consecutive activation of distinct unstable subsystems. Copyright © 2019, The Authors. All rights reserved.

关键词： Chemical activation

Minimal order controllers for output regulation of nonlinear systems

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arXiv 2019年

作者： Natarajan, Vivek Weiss, George Systems and Control Engineering Group Indian Institute of Technology Bombay Mumbai400076 India School of Electrical Engineering Tel Aviv University Ramat Aviv69978 Israel

This paper is about the nonlinear local error feedback regulator problem. The plant is a nonlinear finite-dimensional system with a single control input and a single output and it is locally exponentially stable around the origin. The plant is driven, via a separate disturbance input, by a Lyapunov stable exosystem whose states are nonwandering. The reference signal that the plant output must track is a nonlinear function of the exosystem state. The local error feedback regulator problem is to design a dynamic feedback controller, with the tracking error as its input, such that (i) the closed-loop system of the plant and the controller is locally exponentially stable, and (ii) the tracking error tends to zero for all sufficiently small initial conditions of the plant, the controller and the exosystem. Under the assumption that the above regulator problem is solvable, we propose a nonlinear controller whose order is relatively small - typically equal to the order of the exosystem, and which solves the regulator problem. The emphasis is on the low order of the controller. In contrast, previous results on the regulator problem have typically proposed controllers of a much larger order. The stability assumption on the plant (which can be relaxed to some extent) is crucial for making it possible to design a low order controller. We will show, under certain assumptions, that our proposed controller is of minimal order. Three examples are presented - the first illustrates our controller design procedure using an exosystem whose trajectories are periodic even though the state operator of the linearized exosystem contains a nontrivial Jordan block. The second example is more involved, and shows that sometimes a nontrivial immersion of the exosystem is needed in the design. The third example, based on output voltage regulation for a boost power converter, shows how the regulator equations may reduce to a first order PDE with no given boundary conditions, but which nevertheles

关键词： controllers

Adaptive Prognosis for a Multi-component Dynamical System of Unknown Degradation Modes

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IFAC-PapersOnLine 2018年第24期51卷 184-191页

作者： Prakash, Om Samantaray, Arun K. Bhattacharyya, Ranjan Ghoshal, Sanjoy K. Systems Dynamics and Control laboratory Department of Mechanical Engineering Indian Institute of Technology Kharagpur721302 India Dhanbad826004 India

This article proposes an adaptive remaining useful life (RUL) prediction for a multi-component dynamical system of unknown degradation modes or profiles. Most of the existing approaches assume degradation occurrence in a single component with a single degradation mode for the simplification of RUL prediction. However, in such system, degradation of many components may occur simultaneously and those may show different unknown linear or nonlinear degradation behaviors in their life cycle. Practically, RUL prediction is complicated when the degradation information is unknown a priori and shows nonlinear behaviour. Thus, this article proposes to progressively obtain the degradation estimates of the components through estimation process after their detection and thus multiple degradation models are postulated on-the-fly using the estimates of the degradations. RULs are regularly updated through adaptive degradation models identified by using the concept of sliding window estimation technique. The proposed technique is demonstrated through simulation on a multi-component electrical system. This article also includes the accelerated ageing experimental result which strongly supports the concept of activation of different degradation modes of the component during its life cycle. © 2018

关键词： Life cycle Dynamical systems Forecasting Parameter estimation Degradation behavior Degradation model Multi component systems Multiple degradations Nonlinear behaviours Remaining useful life predictions Remaining useful lives unknown degradation modes

A Hybrid Computational Tool to Analyze the Performance of Electric Machines with Reduced Content of Permanent Magnet

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A Hybrid Computational Tool to Analyze the Performance of El...

IEEE Transportation Electrification Conference and Expo (ITEC)

作者： R. M. Ram Kumar Muhammad Raza Khowja Gaurang Vakil David Gerada Chris Gerada Krzysztof Paciura B. G. Fernandes Power Electronics Machines and Control Group University of Nottingham Nottingham U.K. Cummins Corporate R&T Peterborough U.K. Department of Electrical Engineering Indian Institute of Technology - Bombay Powai Mumbai India

ISBN: (数字)9781728146294

ISBN: (纸本)9781728146300

Electric vehicles (EVs) are equipped with interior permanent magnet (IPM) or permanent magnet assisted synchronous reluctance (PM-SynRel) machines because of their superior performance in field weakening region. The effect of saturation is more pronounced in these machines. This prohibits the use of simple analytical tools utilizing constant machine parameters for d and q axis inductance (Ld and Lq) from accurately predicting control variables like current advance angle, terminal voltage, torque, etc. As a result, design and optimization of IPM and PM-SynRel machines are constrained to time consuming transient finite element analysis (FEA) performed at rated operating point. A hybrid method is introduced in this paper to estimate the complete torque speed characteristics of IPM and PM-SynRel machines. The hybrid method works by employing simple analytical formulation alongside static FEA, thereby, reducing the computational time by more than 10 times. This enables optimization of electric machines considering complete torque speed characteristics with reduced computational burden. In addition, the accuracy of hybrid method utilizing static FEA is found to be on par with complete transient FEA analysis.

关键词： Torque Transient analysis Inductance Stator windings Couplings

An EMI Immune PAM4 Transmitter in 130 nm BiCMOS technology

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An EMI Immune PAM4 Transmitter in 130 nm BiCMOS Technology

IEEE MTT-S International Microwave and RF Conference

作者： Mohit Singh Choudhary Naga Surya Anjan Kumar Pudi Jean-Michel Redoute Maryam Shojaei Baghini IITB-Monash Research Academy Indian Institute of Technology Bombay Mumbai India Department of Electrical and Computer Systems Engineering Monash University Victoria Australia Department of Electrical Engineering Indian Institute of Technology Bombay Mumbai India

ISBN: (数字)9781728140407

ISBN: (纸本)9781728140414

This paper presents the design of a PAM4 (pulse amplitude modulation) transmitter system, which demonstrates higher EMI (electromagnetic interference) immunity over traditional designs. The traditional PAM4 transmitter is investigated for the EMI effects. The proposed PAM4 transmitter uses a transimpedance amplifier (TIA) to isolate the effect of EMI on the PAM4 transmitter. TIA uses common mode feedback (CMFB), which minimises the variation caused in common mode voltage on the transmission line due to EMI injection. Simulation results show that the proposed PAM4 transmitter structure is able to maintain a minimum eye opening of 80 mV as per the standard IEEE802.3bs at a data rate of 12.5 Gbps. The proposed transmitter efficiently transmits the data in the presence of EMI with power of 5 mW and frequency ranging from 1 MHz to 1 GHz, whereas the traditional PAM4 transmitter exhibits complete loss of data in presence of EMI. This EMI immune PAM4 transmitter is designed in STMicroelectronics 130 nm BiCMOS technology.

关键词： PAM4 transmitter EMI immunity transimpedance amplifier wireline communication

Latency and timeliness in multi-hop satellite networks

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arXiv 2019年

作者： Soret, Beatriz Ravikanti, Sucheta Popovski, Petar Department of Electronic Systems Aalborg University Denmark Department of Electrical Engineering Indian Institute of Technology Bombay India

The classical definition of network delay has been recently augmented by the concept of information timeliness, or Age of Information (AoI). We analyze the network delay and the AoI in a multi-hop satellite network that relays status updates from satellite 1, receiving uplink traffic from ground devices, to satellite K, using K-2 intermediate satellite nodes. The last node, K, is the closest satellite with connectivity to a ground station. The satellite formation is modeled as a queue network of M/M/1 systems connected in series. The scenario is then generalized for the case in which all satellites receive uplink traffic from ground, and work at the same time as relays of the packets from the previous nodes. The results show that the minimum average AoI is experienced at a decreasing system utilization when the number of nodes is increased. Furthermore, unloading the first nodes of the chain reduces the queueing time and therefore the average AoI. These findings provide insights for designing multihop satellite networks for latency-sensitive applications. Copyright © 2019, The Authors. All rights reserved.

关键词： Satellites

Optical communications for small satellites: A review of pointing strategies & requirements optimization 71

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Optical communications for small satellites: A review of poi...

71st International Astronautical Congress, IAC 2020

作者： Muhire, Desire Stepanova, Daria Santra, Shreya Baranwal, Prerna Romero, Marco Amrutkar, Rushanka Bonnart, Sébastien Jha, Devanshu Zucherman, Aaron Small Satellites Project Group Space Generation Advisory Council Schwarzenbergplatz 6 Vienna1030 Austria Department of Physics Chouaib Doukkali University Avenue des Facultés El Jadida24000 Morocco German Orbital Systems GmbH Berlin Germany Aerospace Engineering Tohoku University Sendai Japan Birla Institute of Technology and Science Pilani India Institut Supérieur de l'Aéronautique et de l'Espace Toulouse France Indian Institute of Technology Bombay India Space Generation Advisory Council France MVJ College of Engineering Bangalore Karnataka India Cornell University IthacaNY14850 United States

Small satellite is part of a growing industry that caters to commercial, scientific and defense applications. Multiple launches and power constraints of small satellites require cost-effective and stable communication links. Free-space laser communication (LaserCom) is a promising candidate offering a high-speed broadband network, with a less energy consuming and compact subsystem. Unlike radio frequency (RF), LaserCom alleviates the licensing problems of RF spectrum regulation. Despite recognizable popularity, little research on LaserCom for small satellites has been conducted on a comprehensive scale. This review discusses the current improvements in laser communication for small satellites. It examines innovative approaches in on-board Photonics for pointing strategies in atmospheric disturbances and vibrations mitigations. Due to the infeasibility of in-orbit maintenance, the crucial role of the multidisciplinary optimization of requirements for flexible and agile LaserCom systems is addressed. Copyright © 2020 by the International Astronautical Federation (IAF). All rights reserved.

关键词： Cost effectiveness

Discrete-time Maximum Hands-Off control with Minimum Switches

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Discrete-time Maximum Hands-Off Control with Minimum Switche...

IEEE Annual Conference on Decision and control

作者： Masako Kishida Masaaki Nagahara Debasish Chatterjee Principles of Informatics Research Division National Institute of Informatics Tokyo Japan Institute of Environmental Science and Technology The University of Kitakyushu Fukuoka Japan Systems & Control Engineering Indian Institute of Technology Bombay Maharashtra India

ISBN: (数字)9781728113982

ISBN: (纸本)9781728113999

Maximum hands-off control provides energy-saving bang-off-bang control signals. However, it does not restrict the number of changes in the control signal. As the use of a control signal that has fewer adjustments is often preferred, this paper considers the problem of maximum hands-off control with minimum switches. For the class of discrete-time nonlinear control-affine systems, the problem is formulated as a sparse optimization based on the l~0 norm, then relaxed to l~1 norm optimization. For the special case of linear single-input single-output systems, some properties of l 0 optimization and its l~1 relaxation are discussed and we present an efficient numerical algorithm to solve l~1 relaxation based on the proximal splitting method. A numerical example illustrates that the proposed formulation effectively reduces the number of switches.

关键词： Cost function Trajectory Actuators Optimal control Informatics

Scalar field estimation with mobile sensor networks

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arXiv 2019年

作者： Razak, Rihab Abdul Sukumar, Srikant Chung, Hoam IITB-Monash Research Academy Mumbai India Systems and Control Engineering Indian Institute of Technology Bombay Mumbai India Mechanical and Aerospace Engineering Monash University ClaytonVIC Australia

In this paper, we consider the problem of estimating a scalar field using a network of mobile sensors which can measure the value of the field at their instantaneous location. The scalar field to be estimated is assumed to be represented by positive definite radial basis kernels and we use techniques from adaptive control and Lyapunov analysis to prove the stability of the proposed estimation algorithm. The convergence of the estimated parameter values to the true values is guaranteed by planning the motion of the mobile sensors to satisfy persistencelike conditions. Copyright © 2019, The Authors. All rights reserved.

关键词： Adaptive control systems