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Design of an explicit constrained predictive sliding mode controller

IET control THEORY AND APPLICATIONS 2010年第4期4卷 552-562页

作者： Perez, M. Jimenez, E. Camacho, E. F. Univ La Rioja Dept Ingn Mecan Logrono 26004 Spain Univ La Rioja Dept Ingn Elect Logrono 26004 Spain Univ Seville Dept Ingn Sistemas & Automat Seville 41092 Spain

This article presents a generalised predictive controller with improved performance and robustness by means of a reaching law to force a pseudosliding dynamic behaviour. This work has been motivated first by the existence of many industrial non-linear processes that can be well approximated by first-order plus dead time models. Thus, an explicit control law can be obtained, which overcomes some of the disadvantages of traditional sliding mode control and generalised predictive control strategies. Moreover, the necessity of providing the operators with useful values for a controller first tuning computed from the modelled pole and delay is also satisfied. Some simulation examples show the good characteristics of the proposed controller, coping with modelling errors, constraints on the control variable and on the manipulated variable, and time-varying delays.

关键词： Explicit time varying controllers Sliding mode control variable Predictive controllers manipulated variable control law DEAD TIME REACH legislation

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STEADY-STATE BEHAVIOR IN THE VIBRATIONAL control OF A CLASS OF NONLINEAR-SYSTEMS BY AP-FORCING

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IEEE TRANSACTIONS ON AUTOMATIC control 1994年第6期39卷 1255-1258页

作者： BALESTRINO, A BERNINI, F LANDI, A Department of Electrical Systems and Automation University of Pisa Pisa Italy Universita degli Studi di Pisa Pisa Toscana IT Dept. of Electr. Syst. & Automation Pisa Univ. Italy

Vibrational control is an open-loop control technique that uses zero mean parametric vibrations for shaping the response of a linear or nonlinear dynamical system. Several theoretical results are available, based on averaging techniques, assuring the possibility of modifying the equilibrium properties of a system. For nonlinear systems, computational difficulties arise and theoretical results cannot easily be applied. In this note, the stationary behavior of a class of nonlinear systems vibrationally controlled by AP-forcing is investigated. A practical formula linking the amplitude and the frequency of the vibration and the amplitude of the steady-state oscillation in the controlled variable is obtained. As test cases, the well-known Rayleigh equation, a catalytic reactor equation, and the phase locked loop equation are considered.

关键词： steady-state vibration Vibrational frequencies vibration control control variable Amplitude control technology CASING INSPECTION

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OPTIMAL NONZERO SET POINT REGULATION VIA FIXED-ORDER DYNAMIC COMPENSATION

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IEEE TRANSACTIONS ON AUTOMATIC control 1988年第9期33卷 848-852页

作者： HADDAD, WM BERNSTEIN, DS HARRIS CORP DIV GOVT AEROSP SYSTMELBOURNEFL 32902

Standard LQG (linear quadratic Gaussian) theory is generalized to a regulation problem involving specified nonzero setpoints for the state and control variables and nonzero-mean disturbances. For generality, the results are obtained for the problem of fixed-order (i.e. not necessarily full order) dynamic compensation. When the state control, and disturbance offsets are set to zero and the compensator order is set equal to the plant dimension. The standard LQG result is recovered. These results provide the dynamic counterpart for the nonzero set point regulation results obtained by D.S. Bernstein and W.M. Haddad (1987) by means of static controllers.

关键词： Nonzero Linear quadratic Equal Zero State control Viral Set Point Standing Orders control variable amber Set of points

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Noncontact distance sensor using spatial signal processing

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OPTICS LETTERS 2009年第4期34卷 434-436页

作者： Riza, Nabeel A. Reza, Syed Azer Univ Cent Florida CREOL Coll Opt Photon Informat Proc Syst Lab Orlando FL 32816 USA

To the best of our knowledge, proposed is the first distance-measurement sensor using direct spatial signal processing. The sensor is implemented using a laser beam engaged in target-dependent spatial beam processing using an electronically controlled variable focus lens (ECVFL). Specifically, the target-reflected beam is observed by an optical detector while electronically scanning the focal length of the ECVFL in the path of the laser beam. A received-beam minimum spatial size corresponds to a specific ECVFL focal length that in turn is used to compute the sensed target distance. Experiments have been conducted using a 633 mn He-Ne laser and a liquid ECVFL, giving target distance measurements from 6 to 109 cm with a < 1.7% sensor resolution. Various noncontact applications for the sensor include sensing of object measurement parameters of distance, motion displacement, three-dimensional structure, spatial profile, and levels. (c) 2009 Optical Society of America

关键词： Electronics object distance control variable Sensors Object measurement Optical detectors laser beams moving travel FOCAL LENGTH

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Study on the Queue-Length Distribution in Geo/G(MWV)/1/N Queue with Working Vacations

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DISCRETE DYNAMICS IN NATURE AND SOCIETY 2015年第Pt.1期2015卷 15-15页

作者： Luo, Chuanyi Li, Jiangyi Tang, Yinghui Southwestern Univ Finance & Econ Sch Econ Math Chengdu 611130 Peoples R China Southwestern Univ Finance & Econ Res Inst Econ & Management Chengdu 611130 Peoples R China Sichuan Normal Univ Sch Math & Software Sci Chengdu 610066 Sichuan Peoples R China

This paper analyzes a finite buffer size discrete-time Geo/G/1/N queue with multiple working vacations and different input rate. Using supplementary variable technique and embedded Markov chain method, the queue-length distribution solution in the form of formula at arbitrary epoch is obtained. Some performance measures associated with operating cost are also discussed based on the obtained queue-length distribution. Then, several numerical experiments follow to demonstrate the effectiveness of the obtained formulae. Finally, a state-dependent operating cost function is constructed to model an express logistics service center. Regarding the service rate during working vacation as a control variable, the optimization analysis on the cost function is carried out by using parabolic method.

关键词： Cost functions Performance metrics control variable formula Queue

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Perturbations with defective spectra and Fractal controllers

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AUTOMATION AND REMOTE control 2002年第1期63卷 14-24页

作者： Bunich, AL Russian Acad Sci Trapeznikov Inst Control Sci Moscow Russia

Consideration was given to optimization of the stationary mode by variance of the controlled variable as applied to the class of discrete linear plants and perturbations with incomplete spectrum. A fractal (structurally iterative) controller with the number of iterations defined by the desired stabilization precision was proposed to solve the problem of design.

关键词： Spectra control variable controllers Fractals perturbation iterative methods Variance

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Botulinum toxin type A (BOTOX) for treatment of migraine

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DM DISEASE-A-MONTH 2002年第5期48卷 323-335页

作者： Binder, WJ Brin, MF Blitzer, A Pogoda, JM rinceton.edu

An open-label study and 2 double-blind, placebo-controlled studies have provided supporting evidence of botulinum toxin type A (BTX-A) as an effective, well-tolerated treatment for migraine. Observed durations of benefit were consistent with known properties of BTX-A. Findings suggest that response may vary by features of preinjection headaches, such as migraine frequency. The precise mechanism by which BTX-A provides pain relief is hypothesized to be related not only to acetylcholine inhibition but also to a blocking action on the parasympathetic nervous system. Additional studies that control factors likely to be related to response may lead to better understanding of the BTX-A effect on migraine and an optimal treatment protocol.

关键词： Migraine therapeutic aspects Botulinum Toxins control variable 偏头痛肉毒毒素类 botulinum toxin Treatment Protocols Botulinum Toxins, Type A Migraine Disorders control variable pain control

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Family of controllers based on sector non-linear functions: an application for first-order dynamical systems

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IET control THEORY AND APPLICATIONS 2020年第10期14卷 1387-1392页

作者： Meza-Sanchez, Marlen Rodriguez-Linan, Maria del Carmen Clemente, Eddie CONACYT TecNM IT Dept Estudios Posgrad & Invest Ensenada Baja California Mexico TecNM IT Dept Estudios Posgrad & Invest Ensenada Mexico City Mexico

This study proposes the design of a family of controllers based on sector non-linear functions for first-order dynamical systems. Three new controllers that incorporate these types of functions are presented and analysed to validate the authors' premise. The proposed nominal controllers and an augmented version with integral action are presented. Asymptotic stability is proven under the Lyapunov theory and the controllers' performance is compared against a traditional proportional controller. An empirically tuned relation depending on a constant bound value and an operation range is proposed;this is used to compute the gains of each controller. Simulation results with all of the controllers under saturation bounds are presented to illustrate the effectiveness of the method at solving the output regulation and the tracking control problems, under practical physical assumptions. The numerical comparison utilises the L-infinity norms over the output error, and over the control variable, applying the same saturation bounds for each controller.

关键词： Lyapunov methods feedback robust control control system synthesis position control nonlinear control systems asymptotic stability traditional proportional controller constant bound value saturation bounds tracking control problems control variable sector nonlinear functions first-order dynamical systems nominal controllers

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Method for Parametric Optimization in Problems of the Multichannel control of Systems with Distributed Parameters

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JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL 2019年第4期58卷 545-559页

作者： Rapoport, E. Ya. Samara State Tech Univ Samara 443100 Russia

We propose a constructive technology for solving parametrizable problems of multichannel optimal control in systems with distributed parameters under conditions of a given accuracy of uniform approximating the resultant spatial distribution of the controlled variable to the desired state. The developed technique uses the parametrization procedure of the sought control actions and the subsequent reduction to the special form of the task of semi-infinite optimization, which is solved by the scheme of the alternance method proposed earlier;this scheme is generalized to the investigated situation. We present an example (which is of interest by itself) of time-optimization of the process of nonstationary heat conductivity with two boundary control actions.

关键词： Scheme Optimization Procedure Action control variable Parametric Thermal Conductivity distributed parameter

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On the problem of optimal spacecraft attitude control

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JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL 2016年第2期55卷 310-330页

作者： Levskii, M. V. Maximov Res Inst Space Syst Branch Khrunichev State Res & Prod Ctr Ul Tikhonravova 27 Yubileinyi 141091 Moscow Oblast Russia

The problem of the optimal control of a spacecraft reorientation from an arbitrary initial position into a prescribed final angular position is studied. For optimization, we use a generalized integral index characterizing the complexity of the rotation trajectory from the viewpoint of the "distance covered," which is the generalized rotation angle that takes into account the different weights of the spacecraft axes in the sense of expenditures (of fuel, time, or another irreplaceable resource) needed to rotate the spacecraft by the same angle. An analytical solution of this problem is obtained. Two versions of the optimal spacecraft slew maneuver problem (using the shortest trajectory) are considered-the quickest maneuver and a maneuver in the prescribed time. The optimal control problem is solved for several types of constraints on the control variables. The time of starting the deceleration is determined based on the actual motion parameters (mismatch angle and angular velocity) using the terminal control principles (based on the angular position and angular velocity measurements). An example and simulation results of the spacecraft dynamics under the optimal control are presented, which demonstrate the practical usefulness of the proposed control algorithms.

关键词： attitude control ANGULAR VELOCITY angular position Angle control variable Optimal control Spacecraft dynamics Spacecraft Computer algorithms space vehicle attitude control

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