Contribution to Stability Control of Nonlinear Systems

Ivan Svarc; Radomil Matousek

doi:10.4028/www.scientific.net/AMR.463-464.1579

Paper Titles

Application and Research on the Model of Saturated-Unsaturated Porous Material Coupling Hydro-Thermal-Mechanical Process
p.1559

Applications of the Flexible Wing Concept at Small Unmanned Aerial Vehicles
p.1564

Bending-Torsional Flutter of a Composite Rectangular Cantilever Wing Subjected to Engine Thrust
p.1568

Classification of Power Quality Problems by Wavelet Fuzzy Expert System
p.1573

Contribution to Stability Control of Nonlinear Systems
p.1579

Design Consideration of Bio-Inspired Contractible Water-Jet Propulsor for Mini Autonomous Underwater Robot
p.1583

Designing the Tracking System for a String of Photovoltaic Modules
p.1589

Electronic Interface for Pneumatic Grippers Using USB Port
p.1593

Failure Process and Mechanism Analysis for the Connecting Rod of Diesel Engine
p.1597

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Contribution to Stability Control of Nonlinear Systems

Abstract:

The most powerful methods of systems analysis have been developed for linear control systems. For a linear control system, all the relationships between the variables are linear differential equations, usually with constant coefficients. Actual control systems usually contain some nonlinear elements. In the following we show how the equations for nonlinear systems may be linearized. But the result is only applicable in a sufficiently small region in the neighbourhood of equilibrium point. The table in this paper includes the nonlinear equations and their the linear approximation. Then it is easy to find out if the nonlinear system is or is not stable; the task that usually ranks among the difficult tasks in engineering practice.