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2 edition of An application of the Popov stability criterion to the design of nonlinear systems found in the catalog.

An application of the Popov stability criterion to the design of nonlinear systems

by Claus Erwin Zimmermann

  • 74 Want to read
  • 27 Currently reading

Published .
Written in English


The Physical Object
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Open LibraryOL25129749M

State-space and i/o stability for nonlinear systems. In Feedback control, nonlinear systems, and complexity (Montreal, PQ, ), volume of Lecture Notes in Control and Inform. Sci., pages Springer, London, Note: (Expository paper, placed online per request. Robust stability of perturbed nonlinear feedback systems subjected to plant variations is investigated by using the direct method of Lyapunov. To establish the stability of the nominal system, the multivariable Popov criterion is utilized first. Then the stability of the system with parameter deviations and perturbed nonlinearities is studied.

() Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and popov theorems and their application to robust stability. Part I: Continuous-time theory. International Journal of Robust and Nonlinear Control , Nonlinear Systems Analysis () by M Vidyasagar Add To MetaCart. (i.e., theorems) are asserted, then carefully proved. The book covers many of the key topics in control theory, except — as the subtitle has warned us — those involving stochastic processes or infinite-dimensional systems. The level is appropriate for a senior.

In particular, he examines frequency domain techniques for analyzing the stability of linear time-invariant (LTI) systems, partly because he can explain them easily using the tools of graduate-level classical control for systems without delays-that is in terms of eigenvalues, pole placement, complex analysis, root locus, and Nyquist stability criterion. Control Systems, Robotics and Automation Chemical Sciences, Engineering and Technology Resources Water sciences, Engineering and Technology Resources.


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An application of the Popov stability criterion to the design of nonlinear systems by Claus Erwin Zimmermann Download PDF EPUB FB2

This text emphasizes classical methods and presents essential analytical tools and strategies for the construction and development of improved design methods in nonlinear control. It offers engineering procedures for the frequency domain, as well as solved examples for clear understanding of control applications in the industrial, electrical, proce3/5(1).

The proposed control design is based on an extension of a Popov-like criterion to systems with set-valued nonlinearities that guarantees input-to- state stability (ISS).

APPLICATIONS OF THE SATURABILITY TECHNIQUE IN THE PROBLEM OF STABILITY OF NONLINEAR SYSTEMS. V.M. Popov. Pages principal condition, 1 0, gives the counterpart (valid for nondecreasing functions Φ) of a well-known frequency-domain criterion of absolute stability.

Select NONLINEAR EVOLUTION EQUATIONS AND NONLINEAR ERGODIC THEOREMS. This paper describes a method for stability analysis and design of a fast voltage loop in DC-DC converters. The method is based on the Popov criterion, which unifies tools for nonlinear system.

Nonlinear Systems: Analysis, Stability, and Control Shankar Sastry (auth.) There has been a great deal of excitement in the last ten years over the emer­ gence of new mathematical techniques for the analysis and control of nonlinear systems: Witness the emergence of a set of simplified tools for the analysis of bifurcations, chaos, and other.

Compensator design results are compared for the circle and Popov criteria, both of which are sufficiency conditions for absolute stability of nonlinear control systems.

Analog simulation studies yielded higher compensator gains than either of the two criteria. This chapter discusses the Mikhailov's stability criterion, the algebraic stability criteria, the frequency stability criterion, and the width of stability region and stability reserve.

Mikhailov's stability criterion for the linear automatic regulation systems (and other dynamic systems) of arbitrary order was proposed by Aleksandr Vasil. Classical Feedback Control with Nonlinear Multi-Loop Systems describes the design of high-performance feedback control systems, emphasizing the frequency-domain approach widely used in practical engineering.

It presents design methods for high-order nonlinear single- and multi-loop controllers with efficient analog and digital implementations. The last part of the course is dedicated to nonlinear control design tools such as feedback linearization, sliding mode control, Lyapunov redesign, backstepping, passivity based control and nonlinear adaptive control (if time permits).

Emphasis is placed upon application of. In this paper, a new approach to stability analysis of nonlinear dynamics of an underactuated autonomous underwater vehicle (AUV) is presented. AUV is a highly nonlinear robotic system whose dynamic model includes coupled terms due to the hydrodynamic damping factors.

It is difficult to analyze the stability of a nonlinear dynamical system through Routh’s stability approach. Get this from a library. Classical feedback control with nonlinear multi-loop systems: with MATLAB and Simulink.

[B J Lurie; Paul J Enright] -- Classical Feedback Control with Nonlinear Multi-Loop Systems describes the design of high-performance feedback control systems, emphasizing the frequency-domain approach widely used in practical.

Get this from a library. Stability analysis and design for nonlinear singular systems. [Chunyu Yang; Qingling Zhang, (Mathematician); Linna Zhou] -- Singular systems which are also referred to as descriptor systems, semi-state systems, differential- algebraic systems or generalized state-space systems have attracted much attention because of.

Provide an Accessible Approach to Nonlinear Control. A New Approach from an Award-winning Author: This book emerges from the award-winning book, Nonlinear Systems, but has a distinctly different mission and organization.

While Nonlinear Systems was intended as a reference and a text on nonlinear system analysis and its application to control, this streamlined book is intended as a text for a. (Application oriented and easy to read, but tends to be quite sloppy on theoretical development). [3] Nonlinear Control Systems, Alberto Isidori, 3rd Ed., [4] Nonlinear and Adaptive Control Design, M.

Krstic, I. Kanellakopoulos, and vic, John Wiley, New York, (A good reference for adaptive control of nonlinear systems). Abstract. In our paper, the properties of the simplest Takagi-Sugeno (T-S) fuzzy controller are first investigated.

Next, based on the well-known Popov criterion with graphical interpretation, a sufficient condition in the frequency domain is proposed to guarantee the globally asymptotical stability of the simplest T-S fuzzy control system.

Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering.

Yakubovich–Popov lemma is derived and used for stability analysis of nonlinear dissipative systems and output feedback stabilization of generic nonlinear systems affine in input. The relative degree one and minimum phase results of linear passive systems are generalized to nonlinear systems, using feedback equivalence.

Passivity of cascaded. CONTROL SYSTEM ENGINEERING-II () MODULE-I (10 HOURS) Liapunov‟s Stability Criterion, The Direct Method of Liapunov and the Linear System, Methods of Constructing Liapunov Functions for Nonlinear Systems, Popov‟s Criterion. MODULE-IV (10 HOURS) Optimal Control Systems: Introduction, Parameter Optimization: Servomechanisms, Optimal.

Tsypkin was among the first to recognize the importance of the Popov criterion and to extend it to discrete‐time systems in the form now known as the Tsypkin criterion. This paper briefly reviews the evolution of the Tsypkin criterion from its original use in absolute stability analysis to its current application as a design tool.

The course begins with an introduction to nonlinear system theory and stability analysis. Topics include Lyapunov stability analysis techniques, stability of perturbed systems with vanishing and non-vanishing perturbations, input-to-state stability, input-output stability and passivity.

asymptotic stability, global asymptotic stability. (6 Hrs.) Unit V: Stability Criterion Linearization of nonlinear systems about equilibrium point, Methods of construction of Liapunov functions, Liapunov's direct method.

Stability analysis of nonlinear system using Liapunov's theorems. .Nonlinear systems with stationary sets are important because they cover a lot of practical systems in engineering. Previous analysis has been based on the frequency-domain for this class of systems.

However, few results on robustness analysis and controller design for these systems are easily available.Wassim Michael Haddad (born J ) is a Lebanese-Greek-American applied mathematician, scientist, and engineer, with research specialization in the areas of dynamical systems and research has led to fundamental breakthroughs in applied mathematics, thermodynamics, stability theory, robust control, dynamical system theory, and neuroscience.