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IEEE Interantional Conference on Industrial Technology

作者： P. S. Lal Priya B. Bandyopadhyay Faculty of IDP in Systems and Control Engineering IIT Bombay Mumbai 400076

ISBN: (纸本)9781467303408;9781467303422

This paper proposes a new algorithm for achieving discrete-time sliding mode for linear multivariable nominal systems using output feedback. The concept of periodic output feedback is used here. It has been shown that, when the output of the system is sampled slower than the input, there exist a discrete-time sliding mode. The method is very general and is applicable to any controllable and observable linear time invariant square system. The magnetic tape position control application is presented to illustrate the proposed method.

关键词： Discrete-time sliding mode control(DSMC) Periodic output feedback(POF)

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Discrete-time sliding mode control using infrequent output measurements

Discrete-time sliding mode control using infrequent output m...

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2011 International Conference on Advanced Mechatronic systems, ICAMechS 2011

作者： Bandyopadhyay, B. Lal Priya, P.S. Faculty of IDP in Systems and Control Engineering IIT Bombay Mumbai 400076 India IDP in Systems and Control Engineering IIT Bombay Mumbai 400076 India

ISBN: (纸本)9780955529375

This paper presents a new algorithm for discrete-time sliding mode control using output feedback. It has been shown that, when the output of the system is sampled slower than the input, a discrete-time sliding mode can be obtained. The method is very general and is applicable to any controllable and observable linear time-invariant single input single output system. The proposed technique is illustrated with a numerical example. © 2011 Intl Journal of Adv Mechatr.

关键词： Numerical methods

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Construction of Bode Envelopes Using REP Based Range Finding Algorithms

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International Journal of Automation and computing 2011年第1期8卷 112-121页

作者： P.S.V.Nataraj Shanta Sondur IDP in Systems and Control Engineering Indian Institute of Technology Bombay Vivekanand Education Society's Institute of Technology

The frequency domain analysis of systems is an important topic in control theory. Powerful graphical tools exist in classic control, such as the Nyquist plot, Bode plots, and Nichols chart. These methods have been widely used to evaluate the frequency domain behavior of system. A literature survey shows that various approaches are available for the computation of the frequency response of control systems under different types of parametric dependencies, such as affine, multi-linear, polynomial, etc. However, there is a lack of tools in the literature to construct the Bode envelopes for the general nonlinear type of parametric dependencies. In this paper, we address the problem of computation of the envelope of Bode frequency response of a non-rational transfer function with nonlinear parametric uncertainties varying over a box. We propose two techniques to compute the Bode envelopes：first, based on the natural interval extensions （NIE） combined with uniform subdivision and second, based on the existing Taylor model combined with subdivision strategy. We also propose the algorithms to further speed up both methods through extrapolation techniques.

关键词： Bode envelope asymptotic expansion extrapolation methods rep interval analysis approximation technique.

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A Reliable and Accurate Calculation of Excitation Capacitance Value for an Induction Generator Based on Interval Computation Technique

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International Journal of Automation and computing 2011年第4期8卷 429-436页

作者： Rajesh Kumar Thakur Vivek Agarwal Paluri S. V. Nataraj Systems and Control Engineering Interdisciplinary Programme (IDP)Mumbai 400076 India Department of Electrical Engineering IIT-Bombay Powai Mumbai 400076 India

A squirrel cage induction generator （SCIG） offers many advantages for wind energy conversion systems but suffers from poor voltage regulation under varying operating conditions. The value of excitation capacitance （C exct ） is very crucial for the selfexcitation and voltage build-up as well as voltage regulation in SCIG. Precise calculation of the value of C exct is, therefore, of considerable practical importance. Most of the existing calculation methods make use of the steady-state model of the SCIG in conjunction with some numerical iterative method to determine the minimum value of C exct . But this results in over estimation, leading to poor transient dynamics. This paper presents a novel method, which can precisely calculate the value of C exct by taking into account the behavior of the magnetizing inductance during saturation. Interval analysis has been used to solve the equations. In the proposed method, a range of magnetizing inductance values in the saturation region are included in the calculation of C exct , required for the self-excitation of a 3-φ induction generator. Mathematical analysis to derive the basic equation and application of interval method is presented. The method also yields the magnetizing inductance value in the saturation region which corresponds to an optimum C exct（min） value. The proposed method is experimentally tested for a 1.1 kW induction generator and has shown improved results.

关键词： d-q model hull consistency induction generator interval analysis interval arithmetic optimization range of interval realpaver self-excitation transients.

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Swing-up and stabilization of Rotary Inverted Pendulum using sliding modes

Swing-up and stabilization of Rotary Inverted Pendulum using...

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作者： Kurode, Shailaja Chalanga, Asif Bandyopadhyay, B. Department of Electrical Engineering COE Pune India IDP in Systems and Control IIT Bombay India

ISBN: (纸本)9783902661937

control of Rotary Inverted Pendulum (RIP) is a classic control problem. It represents a broader class of underactuated systems. The dynamical equations of RIP are nonlinear coupled and complex. The nonlinear feature and the complex internal dynamics makes the design of the control challenging. This paper presents swing up and stabilization both via sliding modes. Tracking control of rotary actuator using sliding modes is developed for swing up of RIP till the pendulum reaches in the linear region around the vertical upright position. Once it reaches in the linear region, a stabilization control using sliding mode is switched on. A linear model of the RIP is used for developing the SMC law for stabilization. Effectiveness of the method is validated in simulation as well as by experiment. © 2011 IFAC.

关键词： Stabilization

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Discrete-time sliding mode control using infrequent output measurements

Discrete-time sliding mode control using infrequent output m...

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International Conference on Advanced Mechatronic systems (ICAMechS)

作者： B. Bandyopadhyay P. S. Lal Priya IDP in Systems and Control Engineering IIT Bombay Mumbai

关键词： Sliding mode control Output feedback Switches Eigenvalues and eigenfunctions Trajectory Closed loop systems

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The extrapolated Taylor model

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Reliable Computing 2011年第3期15卷 251-278页

作者： Nataraj, P.S.V. Sondur, Shanta IDP in Systems and Control Engineering Indian Institute of Technology Bombay Mumbai India

The Taylor model [8] is one of the inclusion functions available to compute the range enclosures. It has the property of (m + 1)th convergence order, where, m is the order of the Taylor model used. It computes a high order polynomial approximation to a multivariate Taylor expansion, with a remainder term that rigorously bound the approximation error. The sharper bounds on the enclosures computed using the Taylor model can be obtained either by successively partitioning the domain x using suitable subdivision factors, or by increasing the convergence rate of the Taylor model using higher order Taylor models. However, higher order Taylor forms require higher degrees of the polynomial part, which in turn require more computational effort and more memory. This is the major drawback of increasing the order m of Taylor models for obtaining range enclosures with higher order convergence rates. In this paper, we attempt to overcome these drawbacks by using a lower order Taylor model, and then using extrapolation to accelerate the convergence process of the sequences generated with the lower order Taylor model. The effectiveness of all the proposed algorithms is tested on various multivariate examples and compared with the conventional methods. The test results show that the proposed extrapolation-based methods offer considerable speed improvements over the conventional methods.

关键词： Enclosures

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Swing-Up and Stabilization of Rotary Inverted Pendulum using Sliding Modes

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IFAC Proceedings Volumes 2011年第1期44卷 10685-10690页

作者： Shailaja Kurode Asif Chalanga B. Bandyopadhyay Department of Electrical Engineering COE Pune India IDP in Systems and Control IIT Bombay India

Abstract control of Rotary Inverted Pendulum (RIP) is a classic control problem. It represents a broader class of underactuated systems. The dynamical equations of RIP are nonlinear coupled and complex. The nonlinear feature and the complex internal dynamics makes the design of the control challenging. This paper presents swing up and stabilization both via sliding modes. Tracking control of rotary actuator using sliding modes is developed for swing up of RIP till the pendulum reaches in the linear region around the vertical upright position. Once it reaches in the linear region, a stabilization control using sliding mode is switched on. A linear model of the RIP is used for developing the SMC law for stabilization. Effectiveness of the method is validated in simulation as well as by experiment.

关键词： SMC RIP Stabilization Swing-Up

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Sliding mode based AQM for robust control of IP based network

Sliding mode based AQM for robust control of IP based networ...

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International Conference on control, Automation and systems ( ICCAS)

作者： P Baburaj B Bandyopadhyay IDP in Systems & Control Engineering IIT Bombay Mumbai India

A novel Sliding Mode control (SMC) based Active Queue Management (AQM) algorithm is proposed for control of TCP/IP based network. Modern switching networks are complex time delay process with abrupt time varying behavior of its parameters such as bandwidth, time delay etc., which makes it hard to capture the exact process dynamics for an efficient controller design. Our approach invokes the potential of SMC in terms of robustness and disturbance rejection to design effective controller for nonlinear TCP-queue dynamics. Sliding Mode design is based on Lyapunov matrix and search for Lyapunov matrix for systems with unmatched uncertainties and time delay is formulated in terms of Linear Matrix Inequlity. Proposed scheme exhibits robust performance in presence of large parameter uncertainties and disturbances.

关键词： Uncertainty Robustness Linear matrix inequalities Delay effects Delay Heuristic algorithms Sliding mode control

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Application of the Bernstein form for reliable global optimization of mixed-integer problems in process synthesis and design

Application of the Bernstein form for reliable global optimi...

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International Conference on Reliability, Safety and Hazard

作者： Patil, Bhagyesh V. Nataraj, P.S.V. Bhartiya, S. IDP in Systems and Control Engineering IIT Bombay India Chemical Engineering Department IIT Bombay India

ISBN: (纸本)9781424483433

In this paper, we present a Bernstein polynomial approach to optimally and reliably solve polynomial class of mixed-integer programming (MIP) problems. We use the Bernstein form in the branch-and-bound framework to compute a global optimum of MIPs. We present two application examples of MIPs: optimal pump configuration problem and trim loss minimization, to demonstrate the Bernstein polynomial approach. © 2010 IEEE.

关键词： Global optimization

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