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Open AccessJournal ArticleDOI

Analysis and design of variable structure systems using a geometric approach

TLDR
In this paper, the properties of multivariate variable structure systems in the sliding mode were studied using a geometric approach and they were proved using the projector the projection of the projection matrix.
Abstract
Multivariate variable structure systems in the sliding mode are studied using a geometric approach. The properties of system order reduction and disturbance rejection are proved using projector the...

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Citations
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Journal ArticleDOI

Variable structure control: a survey

TL;DR: A tutorial account of variable structure control with sliding mode is presented, introducing in a concise manner the fundamental theory, main results, and practical applications of this powerful control system design approach.
Journal ArticleDOI

Variable structure control of nonlinear multivariable systems: a tutorial

TL;DR: In this paper, the design of variable-structure control (VSC) systems for a class of multivariable, nonlinear, time-varying systems is presented.
Journal ArticleDOI

Variable structure control of nonlinear systems: a new approach

TL;DR: A new approach based on a new method called the reaching law method, and complemented by a sliding-mode equivalence technique, facilitate the design of the system dynamics in all three modes of a VSC system including the sliding, reaching, and steady-state modes.
Book

Sliding Mode Control in Engineering

TL;DR: An overview of classical sliding mode control differential inclusions and sliding modeControl high-order sliding modes sliding mode observers dynamic sliding mode Control and output feedback sliding modes, passivity, andflatness stability and stabilization discretization issues.
Journal ArticleDOI

Sliding-Mode Control With Soft Computing: A Survey

TL;DR: The state of the art of recent developments in SMC systems with SC is provided, examining key technical research issues and future perspectives.
References
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Journal ArticleDOI

Variable structure systems with sliding modes

TL;DR: Design and analysis forVariable structure systems are surveyed in this paper and it is shown that advantageous properties result from changing structures according to this switching logic.
Book

Sliding Modes and their Application in Variable Structure Systems

TL;DR: An electric dynamically operated storage element comprises two energy stores and circuitry is provided for applying periodically repeating phase clock pulses simultaneously to the energy stores through the charging circuits.
Journal ArticleDOI

The invariance conditions in variable structure systems

B. Draenovi
- 01 May 1969 - 
TL;DR: In this paper, the authors discuss the possibility of lowering a system sensitivity by the application of a sliding mode, which can be obtained by means of control functions which on certain hypersurfaces have first order discontinuities in a state space.
Journal ArticleDOI

Introduction to Matrices with Applications in Statistics

George Zyskind
- 01 Nov 1970 - 
TL;DR: In this paper, the authors present an introduction to matrices with applications in statistics, and present a set of matrices that can be used in statistics applications in the field of computer vision.
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