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Output regulation for linear discrete-time systems subject to input saturation

International Journal of Robust and Nonlinear Control 1998年第11期7卷

作者： Ravi Mantri Ali Saberi Zongli Lin Anton A. Stoorvogel School of Electrical Engineering and Computer Science Washington State University Pullman WA 99164-2752 U.S.A. Department of Applied Mathematics and Statistics SUNY at Stony Brook Stony Brook NY 11794-3600 U.S.A. Department of Mathematics and Computing Science Eindhoven University of Technology P.O. Box 513 5600 MB Eindhoven The Netherlands

The purpose of this paper is to examine the problem of controlling a linear discrete-time system subject to input saturation in order to have its output track (or reject) a family of reference (or disturbance) signals produced by some external generator. It is shown that a semi-global framework, rather than a global framework, for this problem is a natural one. Within this framework, a set of solvability conditions are given and feedback laws which solve the problem are constructed. The theory developed in this paper parallels the one we developed earlier for the continuous-time system. © 1997 by John Wiley & Sons, Ltd.

关键词： Regulator problem semi-global framework linear systems with saturating actuators low gain feedback design discrete-time

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Some Results on Blind Identification Using Fractional Sampling

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IFAC Proceedings Volumes 1997年第11期30卷 483-488页

作者： Shuichi Ohno Hideaki Sakai Dept. of Mathematics and Computer Science Faculty of Science and Engineering Shimane University Shimane 690 JAPAN Dept. of Applied Mathematics and Physics Graduate School of Engineering Kyoto University Kyoto 606-01 JAPAN

This paper presents a blind identification method exploiting the prior knowledge of the channel. The received signal is first processed by the filter constructed by the known part of the channel and then blind identification algorithms based on the second-order statistics are applied to the filtered signal. It is shown that, if the unknown part satisfies the identifiability condition, the channel can be identified even though the channel does not satisfy the condition. Simulation results are also presented.

关键词： signal processing communication systems identification algorithms identifiability

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Simultaneous external and internal stabilization for continuous and discrete-time critically unstable linear systems with saturating actuators

Simultaneous external and internal stabilization for continu...

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American Control Conference (ACC)

作者： Ping Hou A. Saberi Zongli Lin P. Samuti School of Electrical Engineering and Computer Science Washington State University Pullman WA USA Department of Applied Mathematics and Statistics State University of New York Stony Brook NY USA

The issues arising in simultaneous external as well as internal stabilization of linear systems with saturating actuators are considered. Four different stabilization problems are studied. Roughly, these problems are: (1) simultaneous semi-global external as well as semi-global internal stabilization, (2) simultaneous semi-global external as well as global internal stabilization, (3) simultaneous global external as well as semi-global internal stabilization, and (4) simultaneous global external as well as global internal stabilization. Explicit state feedback control laws are constructed.

关键词： Linear systems Hydraulic actuators Control systems Stability Design methodology computer science mathematics Statistics

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A direct method of constructing H/sub 2/ suboptimal controllers-continuous-time systems

A direct method of constructing H/sub 2/ suboptimal controll...

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American Control Conference (ACC)

作者： Zongli Lin A. Saberi P. Sannuti Y.A. Shamash Department of Applied Mathematics and Statistics State University of New York Stony Brook Stony Brook NY USA School of Electrical Engineering and Computer Science Washington State University Pullman WA USA Department of Electrical & Computer Engineering Rutgers University Piscataway NJ USA College of Engineering and Applied Sciences State University of New York Stony Brook Stony Brook NY USA

An algorithm called the 'H/sub 2/ suboptimal state feedback gain sequence' (H/sub 2/ SOSFGS) algorithm is developed. Rather than utilizing a 'perturbation method' which is numerically stiff and computationally prohibitive, the H/sub 2/ SOSFGS algorithm utilizes a direct eigenvalue assignment method to come up with a sequence of H/sub 2/ suboptimal state feedback gains. Also, although the sequence of H/sub 2/ suboptimal state feedback gains constructed by the H/sub 2/ SOSFGS algorithm depends on a parameter /spl epsi/, the construction procedure itself does not require explicitly the value of the parameter /spl epsi/. For a given H/sub 2/ suboptimal state feedback gain, a sequence of observer gains for either a full or a reduced order observer can be constructed by merely dualizing the H/sub 2/ SOSFGS algorithm.

关键词： Control systems Hydrogen State feedback Optimal control Perturbation methods Eigenvalues and eigenfunctions Pollution measurement mathematics Statistics Force control

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The calculation of natural extensions with respect to lower probabilities

The calculation of natural extensions with respect to lower ...

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Conference of the North American Fuzzy Information Processing Society - NAFIPS

作者： Zhenyuan Wang G.J. Klir Department of Mathematics Hebei University Baoding Hebei China Department of Computer Science & Engineering Chinese University of Hong Kong Sha Tin Hong Kong China Department of Systems Science & Industrial Engineering Thomas J. Watson School of Engineering and Applied Science Binghamton University Binghamton NY USA

The concept of natural extension plays an important role in the theory of imprecise probabilities. It is a nonlinear functional on the class of nonnegative finite measurable functions. The difficulty of its calculation restricts applications of the theory. The paper provides a fast algorithm by which a precise value of the natural extension of a given nonnegative finite function with respect to a given lower probability is computed. Such an algorithm makes the natural extension one of the tools for aggregation in information fusion.

关键词： Probability mathematics Intelligent systems Industrial engineering computer science

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Combinatorial optimization games 97

Combinatorial optimization games

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Proceedings of the eighth annual ACM-SIAM symposium on Discrete algorithms

作者： Xiaotie Deng Toshihide Ibaraki Hiroshi Nagamochi Dept. of Computer Science York University North York Ontario Canada M3J 1P3 Dept. of Applied Mathematics and Physics Graduate School of Engineering Kyoto University Kyoto Japan 606-01

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Generalized output regulation for linear systems

Generalized output regulation for linear systems

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American Control Conference (ACC)

作者： A. Saberi A.A. Stoorvogel Zongli Lin School of Electrical Engineering and Computer Science Washington State University Pullman WA USA Department of Mathematics and Computing Science Eindhovan University of Technology Eindhoven Netherlands Department of Applied Math and Statistics State University of New York Stony Brook Stony Brook NY USA

One of the most important problems in linear multivariable control theory is that of controlling a given plant in order to have its output track (or reject) a reference (or disturbance) signal produced by some external generator, called the exosystem. The disturbance or reference contains only the frequency components of the exosystem. This is called the output regulation problem. We generalize the problem framework in several directions. One is to model disturbances and references by an exosystem that is not, unlike the traditional approach, autonomous but is driven. Another direction is to incorporate the derivative information in the problem formulation. Consequently, we formulate two classes of generalized exact and almost output regulation problems. We provide solvability conditions and the solutions to these problems. Finally, and most importantly, we show that if solvability conditions for regulation are not satisfied, one can design a regulator to achieve "best" tracking (or rejection) of reference (or disturbance) signal is any desired induced norm sense.

关键词： Linear systems Differential equations State feedback Output feedback Regulators Stability Closed loop systems mathematics computer science Statistics

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Operational systems, logistics engineering and technology insertion

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NAVAL ENGINEERS JOURNAL 1997年第3期109卷 205-220页

作者： Grubb, MJ Skolnick, A Michael J. Grubb:has perfomzed naval engineering at the Crane Division Naval Surface Warfare Center (NSWC) for more than twenty-five years. He currently the program manager for the Sustainable Hardware and Affordable Readiness Practice Program (SHARP). is a Navy-wide logistics research and development prgram aimed at the successful transiton of proved technologies inot the fleet. SHARP focuses on reducing acquisition performance capability reliability maintainability and readiness of these systems. Mr. Grubb has served as a department director for the past eleven years. His most recent assignment was as director of the Tactical Computer Resources and Test Equipment Department. This organization provided acquisition and in-service engineering support of the Navy's tectical embedded computers priphirals displays and mass memory storage devices. The organization also provided a complete range of product engineering and metrology engineerig services for SSP NevSeaSysCom and the Trident Program. Prior to this appointment Mr. Grubb was deptuy director psysical security programs department and site responsible for program management and system integration of ashore integrated security systems. Mr. Grubb holds a B.S. degree in industrial engineering from Iowa State Universtiy an M.S. degree in industrial engineering from Purdue University and has copleted the course work (Dec.'96 for a master's degree in public and environment affairs at Indiana University-Purdue Univeristy Indianapolis. Dr. Alfred Skolnick operates System Science Consultants (SSC) specilizing in strategic planning technical program definiton technology assessment and engineering analyses on selected matters of national interest. He has taught physics mathematics and management sciences at University of Virginia and Marymount University and is currently adjunct professor of mathematics at Northern Virginia Community College. Form 1985 to 1989 he was president of the American Society of Noval Engineers. Dr. Skolnick served at Applied Physic

In an era of fiscal austerity, downsizing and unforgiving pressure upon human and economic capital, it is an Augean task to identify resources for fresh and creative work. The realities of the day and the practical demands of more immediate fleet needs can often dictate higher priorities. Yet, the Navy must avoid eating its seed corn. Exercising both technical insight and management foresight, the fleet, the R&D community, the Office of the Chief of Naval Operations (OpNav) and the product engineering expertise of the Naval Surface Warfare Center (NSWC) are joined and underway with integrated efforts to marry new, fully demonstrated technologies and operational urgencies. Defense funding today cannot sponsor all work that can be mission-justified over the long term because budgets are insufficient to support product maturation within the classical development cycle. However, by rigorous technical filtering and astute engineering of both marketplace capabilities and currently available components, it is possible in a few select cases to compress and, in effect, integrate advanced development (6.3), engineering development (6.4), weapon procurement (WPN), ship construction (SCN), operation and maintenance (O&M,N) budgetary categories when fleet criticalities and technology opportunities can happily meet. In short, 6.3 funds can be applied directly to ''ripe gateways'' so modern technology is inserted into existing troubled or aging systems, sidestepping the lengthy, traditional development cycle and accelerating practical payoffs to recurrent fleet problems. To produce such constructive results has required a remarkable convergence of sponsor prescience and engineering workforce excellence. The paper describes, extensively, the philosophy of approach, transition strategy, polling of fleet needs, technology assessment, and management team requirements. The process for culling and selecting specific candidate tasks for SHARP sponsorship (matching operational need with t

关键词： Naval vessels

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On the validity of solutions and equilibrium points in a nonlinear network

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IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS 1996年第3期43卷 233-235页

作者： Venkatasubramanian, V Saberi, A Lin, ZL School of Electrical Engineering and Computer Science Washington State University Pullman WA USA Department of Applied Mathematics and Statistics State University of New York Stony Brook NY USA

For constrained differential equations arising in a specific nonlinear network, the inconsistency between two seemingly equivalent unconstrained representations has been long debated in the literature, One of the representations has nonunique solutions which violate the network constraints. Using new analytical tools, this brief proves that the two representations are not equivalent. Also the ''explanations'' for the discrepancy which appeared recently are incorrect as such, but can be restated precisely.

关键词： Intelligent networks Voltage Nonlinear equations Capacitors Differential equations Nonlinear circuits computer science Resistors Cyclic redundancy check Constraint theory

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Chaotic real-time encryption using systems of difference equations with large parameter spaces

Chaotic real-time encryption using systems of difference equ...

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IEEE Workshop on Statistical Signal and Array Processing

作者： S. Papadimitriou A. Bezerianos T. Bountis Department of Computer Engineering & Informatics School of Engineering University of Patras Patras Greece Department of Medicine School of Medical Physics University of Patras Patras Greece Department of Mathematics Section of Applied analysis University of patras Patras Greece

We present a new class of discrete chaotic systems (i.e. chaotic maps) that can effectively encrypt information. The nonlinearity of these systems is achieved by designing proper piecewise linear functions and by using modulo operations. The chaotic maps are used as pseudo-noise generators and as the synchronization mechanism of a secure spread-spectrum communication system design. The potential for automatic synchronization, the lack of periodicity and the extremely large parameter spaces that our chaotic maps exhibit offer great advantages over the traditional linear feedback shift registers pseudo-noise generators for spread spectrum system design.

关键词： Chaos Real time systems Cryptography Difference equations Chaotic communication Spread spectrum communication Communication system security Biomedical engineering Piecewise linear techniques Convergence

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