Design and analysis of nonlinear control systems
What are the methods of Analysing non-linear systems?
There are two classic methods which are essentially used to analyze the stability of a nonlinear system (Vidyasagar, 1993; Doyle et al., 1992).
The first method is stability analysis using energy function and the second method is based on the linearization the system around its equilibrium point..
What is the theory of nonlinear control systems?
Nonlinear control theory covers a wider class of systems that do not obey the superposition principle.
It applies to more real-world systems, because all real control systems are nonlinear.
These systems are often governed by nonlinear differential equations..
- Nonlinear process plans are the basis for a flexible reaction to changes of the current state in production systems.
Adaptive processes planning requires nonlinear process plans.
In order to identify these nonlinear process plans alternative processing steps have to be defined in a first step. - Nonlinear systems theory provides a theoretical framework for studying a large class of systems that are not amenable to linear systems techniques.
Moreover, nonlinear techniques can strengthen conclusions about the behavior of those systems which are amenable to linear analysis.
Mar 28, 2011Comprehensive introduction for nonlinear control systems, including system analysis and major control design techniques.Table of contentsAbout this bookReviews
What is part 2 of a nonlinear control course?
Part II of the course arms the students with a variety of control methods that are suitable for nonlinear systems and is designed in such a way as to put the student in the position to deploy nonlinear control techniques in real applications
What is the governing role of nonlinear control in power electronics?
Existence of chaos, bifurcations and limit cycles in the circuits highlights the governing role of nonlinear control
In this context, MPC and SMC are common in power electronics owing to its ability to handle system constraints, multi-variable case and nonlinearities
There are several well-developed techniques for analyzing nonlinear feedback systems: Describing function method Phase plane method Lyapunov stability analysis Singular perturbation method The Popov criterion and the circle criterion for absolute stability Center manifold theorem Small-gain theoremDate Get an overview of design methods for non-linear control systems. Linearization, compensation of static non-linearities linearization through local feedback, exact feedback linearization, Lyapunov redesign, backstepping control, sliding mode control, relay con- trol, gain scheduling, adaptive control, neural networks,fuzzy logic.
