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variable-structure systems AND SYSTEM ZEROS

IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS 1983年第1期130卷 1-5页

作者： ELGHEZAWI, OME BILLINGS, SA ZINOBER, ASI UNIV SHEFFIELD DEPT APPL & COMPUTAT MATHSHEFFIELD S10 2TNS YORKSHIREENGLAND

The analysis of variable-structure systems in the sliding mode yields the concept of equivalent control, which leads naturally to a new method for determining the zeros and zero directions of square linear multivariab... 详细信息

关键词： poles and zeros square linear multivariable systems variable structure systems linear systems control system analysis zeros Multivariable control systems variable-structure systems sliding mode Control system analysis and synthesis methods multivariable systems

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Stable training of computationally intelligent systems by using variable structure systems technique

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IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS 2000年第2期47卷 487-496页

作者： Efe, MO Kaynak, O Wilamowski, BM Bogazici Univ Dept Elect & Elect Engn TR-80815 Istanbul Turkey Univ Wyoming Dept Elect Engn Laramie WY 82701 USA

This paper presents a novel training algorithm for computationally intelligent architectures, whose outputs are differentiable with respect to the adjustable design parameters. The algorithm combines the gradient descent technique with the variable-structure-systems approach. The combination is performed by expressing the conventional weight update rule in continuous time and application of sliding-mode control method to the gra- dient-based training procedure. The proposed combination therefore exhibits a degree of robustness with respect to the unmodeled multivariable internal dynamics of gradient descent and to the environmental disturbances, With conventional training procedures, the excitation of this dynamics during a training cycle can lead to instability, which may be difficult to alleviate due to the multidimensionality of the solution space and the ambiguities on the free design parameters, such as learning rate or momentum coefficient. This paper develops a heuristic that a computationally intelligent system, which may be a neural network architecture or a fuzzy inference mechanism, can be trained such that the adjustable pa- rameter values are forced to settle down (parameter stabilization) while minimizing an appropriate cost function (cost optimization), The proposed approach is applied to the control of a robotic arm in two different ways. In one, a standard fuzzy system architecture is used, whereas in the second, the arm is controlled by the use of a multilayer perceptron, In order to demonstrate the robustness of the approach presented, a considerable amount of observation noise and varying payload conditions are also studied.

关键词： computational intelligence stabilization variable-structure systems

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BEHAVIOR OF variable-structure CONTROL-systems NEAR THE SLIDING MANIFOLD

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systems & CONTROL LETTERS 1993年第1期21卷 43-48页

作者： BARTOLINI, G ZOLEZZI, T UNIV GENOA DIPARTIMENTO INFORMAT SISTEMIST & TELEMATI-16126 GENOAITALY UNIV GENOA DIPARTIMENTO MATEMATI-16126 GENOAITALY

A new definition of well-posedness, called generalized approximability, is introduced for variable-structure control systems described by ordinary differential equations. This definition isolates the following basic property: states fulfilling only approximately the sliding condition converge toward some well-defined sliding state, as the perturbations preventing exact sliding disappear. Approximability rules out ambiguous systems, which defy successful implementation of sliding feedback controls. The existence of the equivalent control is not required. It is shown that approximability is in essence a form of uniqueness of the Filippov sliding state. Explicit criteria for approximability are obtained.

关键词： SLIDING MODES APPROXIMABILITY variable-structure systems DISCONTINUOUS DIFFERENTIAL EQUATIONS

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variable-structure control of nonlinear systems

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CONTROL ENGINEERING PRACTICE 1996年第7期4卷 1023-1028页

作者： Zlateva, P Institute of Control and System Research Bulgarian Academy of Sciences Acad. G. Bonchev Street Bl.2 P.O. Box 79 Sofia 1113 Bulgaria

A class of nonlinear systems expressed by nonlinear differential equations with uncertain parameters is investigated. The nonlinear model is transformed into a linear model with parameters varying in definite intervals. variable-structure control in sliding mode is designed. The sliding mode is realized with respect to an auxiliary variable. The theoretical results are proved by computer simulations of the designed variable-structure control in sliding mode for nonlinear fermentation processes.

关键词： variable-structure systems sliding-mode control nonlinear equations uncertain dynamic systems fermentation processes

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MULTIvariable variable-structure ADAPTIVE MODEL-FOLLOWING CONTROL-systems

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IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS 1982年第1期129卷 6-12页

作者： ZINOBER, ASI ELGHEZAWI, OME BILLINGS, SA UNIV SHEFFIELD DEPT CONTROL ENGNSHEFFIELD S1 3JDS YORKSHIREENGLAND

The design of multivariable adaptive model-following control systems is described using the theory of variable-structure systems (VSS). Both the model plant transient and the error response transient can be specified in advance. The discontinuous control enforces sliding motion on switching hyperplanes in the error state space, and the dynamic response is insensitive to certain parameter variations and disturbances. The design is straightforward and requires little computational effort.

关键词： Self-adjusting control systems model plant transient transient response variable structure systems control system synthesis discontinuous control model reference adaptive control systems error response transient switching hyperplanes sliding motion multivariable control systems Multivariable control systems variable-structure systems error state space multivariable adaptive model-following control systems dynamic response

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Epidemiological Control of COVID-19 Through the Theory of variable structure and Sliding Mode systems

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JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL systems 2022年第1期33卷 63-77页

作者： Lopes Santos, Debora Marques Pereira Rodrigues, Victor Hugo Oliveira, Tiago Roux Univ Estado Rio De Janeiro Dept Elect & Telecommun Engn DETEL PEL Rio De Janeiro RJ Brazil Univ Fed Rio de Janeiro Dept Elect Engn PEE COPPE Rio De Janeiro RJ Brazil

This paper proposes a new mathematical model called SIRDQ considering control laws for the government actions in order to reduce the quarantine periods. The proposed control laws guarantee the regulation of the effective number of reproduction to a desired value, which is directly related to the propagation of the epidemic model. We consider two control strategies based on first-order sliding mode and super-twisting algorithm due to its robustness with respect to parametric uncertainties and disturbances, as found in epidemiological models. The stability analysis of the closed-loop system is rigorously presented. Simulations show that the employed control strategies assure better levels of isolation to be adopted.

关键词： COVID-19 Epidemiological dynamics variable-structure systems Sliding mode control Output feedback

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Adaptive fuzzy control of nonlinear systems via a variable-structure algorithm

Adaptive fuzzy control of nonlinear systems via a variable-s...

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IEEE International Symposium on Intelligent Control

作者： Elshafei, AL Cairo Univ Dept Elect Engn Giza Egypt

ISBN: (纸本)078037620X

A new adaptive fuzzy-logic controller is proposed. The rule base of the fuzzy system is tuned on-line based on a variable structure algorithm. Both state and output feedback versions of the controller are derived. The output feedback controller utilizes the high gain observer. Stability of both versions of the controller is proved. Simulation results demonstrate a promising performance.

关键词： adaptive control fuzzy-logic control variable-structure systems high-gain observer

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Multiple Lyapunov functions and other analysis tools for switched and hybrid systems

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IEEE TRANSACTIONS ON AUTOMATIC CONTROL 1998年第4期43卷 475-482页

作者： Branicky, MS Case Western Reserve Univ Dept Elect Engn & Appl Phys Cleveland OH 44106 USA

In this paper, we introduce some analysis tools for switched and hybrid systems, We first present work on stability analysis, We introduce multiple Lyapunov functions as a tool for analyzing Lyapunov stability and use iterated function systems (IFS) theory as a tool for Lagrange stability, We also discuss the case where the switched systems are indexed by an arbitrary compact set, Finally, we extend Bendixson's theorem to the case of Lipschitz continuous vector fields, allowing limit cycle analysis of a class of "continuous switched" systems.

关键词： hybrid systems limit cycles Lyapunov methods nonlinear systems stability switched systems variable-structure systems

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Dynamic model of decentralized systems with informational connection

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IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS 2002年第3期49卷 707-715页

作者： Fujimoto, Y Yakoh, T Ohnishi, K Yokohama Natl Univ Dept Elect & Comp Engn Yokohama Kanagawa 2408501 Japan Keio Univ Dept Syst Design Engn Yokohama Kanagawa 2238522 Japan

This paper presents a design method of decentralized systems with informational connection. The informational connection in this paper denotes an event link which establishes a signal links among physical controlled plants via a communication network. A dynamic transition of an informational connection among decentralized systems is considered and the mathematical structures are discussed using a concept of eigenvalues and eigen-connections over the Galois field GF(2). The global system has variable-structure characteristics due to the transition of informational connection. Examples of decentralized variable-structure systems are shown. In industry, there are many engineering systems that have a dynamic transition of an informational connection. The mathematical model would be useful for analysis and synthesis of various informationally connected systems.

关键词： distributed systems eigenvalues Galois field variable-structure systems

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PARAMETRIC FEEDBACK IMPROVING CONTROL-systems EFFICIENCY

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SIAM REVIEW 1990年第2期32卷 294-299页

作者： YANUSHEVSKY, RT UNIV DIST COLUMBIA DEPT MATHWASHINGTONDC 20008

A special class of parametric feedback is considered. This feedback makes the system coordinates move inside a certain domain. A link between the parametric feedback under consideration and the one used in variable-st... 详细信息

关键词： 93 parametric feedback optimal control variable-structure systems

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