Robust stability of second-order systems semi-annual status report, Feb. 24, 1993 to Aug. 23, 1993

Cover of: Robust stability of second-order systems |

Published by National Aeronautics and Space Administration, National Technical Information Service, distributor in [Washington, DC, Springfield, Va .

Written in English

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  • Space robotics.,
  • Robots -- Control systems.

Edition Notes

Book details

Other titlesRobust stability of second order systems.
Statementprincipal investigator: C.-H. Chuang.
SeriesNASA contractor report -- NASA CR-193624.
ContributionsUnited States. National Aeronautics and Space Administration.
The Physical Object
Pagination1 v.
ID Numbers
Open LibraryOL14699144M

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LMIs in Control/pages/Robust Stabilization of Second-Order Systems Stabilization is a vastly important concept in controls, and is no less important for second order systems with perturbations.

Such a second order system can be conceptualized most simply by the model of a mass-spring-damper, with added perturbations. Get this from a library. Robust stability of second-order systems. [C -H Chuang; United States. National Aeronautics and Space Administration.].

The second-order system is unique in this context, because its characteristic equation may have complex conjugate roots. The second-order system is the lowest-order system capable of an oscillatory response to a step input.

Typical examples are the spring-mass-damper system and the electronic RLC circuit. Second-order systems with potential. The research of robust stability for fractional order linear time-invariant (FO-LTI) interval systems with uncertain parameters has become a hot issue.

In this paper, it is the first time to consider robust stability of uncertain parameters FO-LTI interval systems, which have deterministic linear coupling relationship between fractional order Cited by: Robust control theory allows for changes in a system whilst maintaining stability and performance.

Applications of this technique are very important for dependable embedded systems, making technologies such as drones and other autonomous systems with sophisticated embedded controllers and systems relatively common-place. The aim of this book is to present the Cited by: 2.

The application of variational methods in the theory of stability allows one to obtain new results in the case of control systems whose V. Aleksandrov, G. Sidorenko, and R. Temoltzi-Auila, “Robust Stability of Control Systems,” in “On Bulgakov’s Problem Concerning Maximum Deviation of a Second-Order Oscillatory System Cited by: 1.

In this paper, solvability, stability, and robust stability of linear time-varying singular systems of second order difference equations are studied. The leading coefficient is allowed to be singular, i.e., the system does not generate an explicit by: 2.

Request PDF | Robust Pole Placement for Second-Order Systems: An LMI Approach | Based on recently developed sufficient conditions for stability of polynomial matrices, an LMI technique is. Robust finite time stability of nonlinear fractional order time delay systems Article (PDF Available) January with 71 Reads How we measure 'reads'.

Stability of Discrete Integration Algorithms for a Real-Time, Second-Order System R. McFarland NASA, Ames Research Center October, Real-time implementations of damped, second-order systems are examined in terms of stability of the discrete realizations. In this analysis the required double integration is.

Robust Stability Condition and Analysis on Steady-State Tracking Errors of Repetitive Control Systems controller and the repetitive controller have been considered as two totally separate problems.

Moreover, the cutoff frequency of the q-filter in the repetitive controller should be found by many trials and errors.

LMI Properties and Applications in Systems, Stability, and Control Theory - A List of LMIs by Ryan Caverly and James Forbes. LMIs in Systems and Control Theory - A downloadable book on LMIs by Stephen Boyd. References. Duan, G. LMIs in control systems: analysis, design and applications.

Boca Raton: CRC Press, Taylor & Francis Group. Stability Proofs of Robust MRAC Schemes existing techniques for designing and analyzing adaptive control systems. The book is written in a self-contained fashion to be used as a textbook on adaptive systems at the senior undergraduate, or.

The variable stabmarg gives upper and lower bounds on the robust stability margin, a measure of how much uncertainty on k, delta the feedback loop can tolerate before becoming unstable. For example, a margin of indicates that as little as 80% of the specified uncertainty level can lead to instability.

Here the margin is aboutwhich means that the closed loop will remain stable. Since the nonlinear part satisfying this condition can make positive contributions to the stability of systems, we can easily solve the observer design problem for nonlinear systems [17, 38–40].

Inspired by the above works, we investigate the robust stability of neutral stochastic time-delay nonlinear systems with one-sided Lipschitz condition. Consider the robust stability analysis of linear, time-invariant, discrete-time control systems with uncertain real parameters q i, i = 1, ℓ, with given lower and upper bounds q i − ≤ q i ≤ q i +.

feedback control systems, stability of linear feed-back systems, root locus method, frequency response methods, stability in the frequency domain, design of feedback control systems, design of state variable feedback systems, robust control systems, and digital control systems.

Chapter 1 is a very good introduction into theAuthor: Alberto Sánchez. Peng C, Yue D, Yang T and Tian E () On delay-dependent approach for robust stability and stabilization of T-S fuzzy systems with constant delay and uncertainties, IEEE Transactions on Fuzzy Systems,(), Online publication date: 1-Oct   Mobayen, S, Tchier, F ( d) A novel robust adaptive second-order sliding mode tracking control technique for uncertain dynamical systems with matched and unmatched disturbances.

International Journal of Control, Automation and by: Robust Control of Uncertain Dynamic Systems: A Linear State Space Approach Rama K. Yedavalli (auth.) This textbook aims to provide a clear understanding of the various tools of analysis and design for robust stability and performance of uncertain dynamic systems.

Lee J, Park C and Sung H Robust stability of nonlinear neural-network modeled systems Proceedings of the Second international conference on Advances in Natural Computation - Volume Part I, () Bullinger E and AllgöWer F () Adaptive λ-tracking for nonlinear higher relative degree systems, Automatica (Journal of IFAC),(   The book is organized in 13 chapters which are: an introduction to control systems, mathematical models of systems, state variable models, feedback control systems characteristics, performance of feedback control systems, stability of linear feedback systems, root locus method, frequency response methods, stability in the frequency domain Author: Alberto Sánchez.

In this paper, we focus on a class of second-order linear time-varying(LTV) systems in which the control input matrices is invertible, a time-varying controller design method is presented to arbitrarily place the closed-loop poles at fixed locations for these systems.

The desired fixed poles can ensure the stability of the closed-loop systems. Necessary and sufficient conditions for Lyapunov stability, semistability and asymptotic stability of matrix second-order systems are given in terms of the coefficient matrices.

Necessary and sufficient conditions for Lyapunov stability and instability in Cited by: 4 Robust Stability of Perturbed KKT Systems This section is devoted to deriving second-order characterizations of robust stability of KKT systems by which we precisely mean the equivalent robust versions of strong metric regularity at the reference point of the KKT mapping G(x,λ) from () and of isolated calmness of itsCited by: 1.

NONLINEAR SYSTEMS AND CONTROL Outline Topic No. of lectures Textbook Section Introduction 2 & Second-order systems 4 & This paper presents a robust control design using strictly positive realness for second-order dynamic systems. A robust strictly positive real controller stabilizes second-order systems with only acceleration measurements.

An important property of this design is that the stabilization is independent of the system plant by: 3. This work mainly studies the robust stability analysis and design of a controller for uncertain neutral stochastic nonlinear systems with time-delay.

Using a modified Lyapunov–Krasovskii functional and the free-weighting matrices technique, we establish some new delay-dependent criteria in terms of linear matrix inequality (LMI). The innovative point of Cited by: 1. Pole assignment problems are special algebraic inverse eigenvalue problems.

In this paper, we research numerical methods of the robust pole assignment problem for second-order systems. The problem is formulated as an optimization problem. Depending upon whether the prescribed eigenvalues are real or complex, we separate the discussion into two cases and propose two Author: Hao Liu.

Linear time-delay systems with transcendental characteristic equations have infinitely many eigenvalues which are generally hard to compute completely. However, the spectrum of first-order linear time-delay systems can be analyzed with the Lambert function. This paper studies the stability and state feedback stabilization of first-order linear time-delay system in detail via the Cited by: 4.

This paper considers the robust stability bound problem of uncertain fractional-order systems. The system considered is subject either to a two-norm bounded uncertainty or to a infinity-norm bounded uncertainty. The robust stability bounds on the uncertainties are by: Particularly, he has published with Springer a book entitled Analysis and Design of Descriptor Linear Systems, and has published over 30 papers in IEEE Transactions.

His main research interests include parametric robust control systems design, LMI-based control systems analysis and design, descriptor systems, flight control and magnetic bearing. Based on Lyapunov stability theory and backstepping technology, a robust adaptive iterative learning control algorithm is proposed for a class of second order nonlinear systems with unknown disturbance and time-varying parameters.

The unknown parameters are estimated in time-domain and the disturbance is inhibited by robust control. Feedback control is also introduced to. punov stability, because we find that it is useful in a broad array of applica-tions (and frequently a topic that is not introduced until much later in one’s studies).

The remaining three chapters of the first half of the book focus on linear systems, beginning with a description of input/output behavior in Chap-ter 5.

The definitive guide to control system design Modern Control System Theory and Design, Second Edition offers the most comprehensive treatment of control systems available today.

Its unique text/software combination integrates - Selection from Modern Control System Theory and Design, 2nd Edition [Book]. numerical stability, you will need to carefully choose your step size hin the numerical solvers. The end result of our discussion will be that you can only safely do this by understanding the relationship between numerical stability and physical stability.

I can’t help but notice the word “instability” getting used, in political writing, to refer to widespread and continued lawlessness, violence, rioting, and so on. A “stable” society is one where these things don’t occur, or occur sporadically and locally. Now the interesting thing is that, in the sciences, stability refers to a state over time.

That is, a stable isotope won’t. In this study, the stability problem of descriptor second-order systems is considered. Lyapunov equations for stability of second-order systemsare established by using Lyapunov method.

The existence of solutions for Lyapunov equations are discussed and linear matrixinequality condition for stability of second-order systems by: 2. Robotics and Autonomous Systems 7 () North-Holland Robust stability analysis of robot control systems Irena Jaworska * and Spyros Tzafestas Intelligent Robotics and Control Unit, Computer Engineering Dept., National Technical University of Athens, ZografouAthens, Greece Abstract Jaworska, I.

and Tzafestas, S., Robust stability analysis of robot. 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.

Although the classical PID (proportional-integral-derivative) controller is most widely and successfully used in engineering systems which are typically nonlinear with various uncertainties, almost all the existing investigations on PID controller focus on linear systems. The aim of this paper is to present a theory on PID controller for nonlinear uncertain systems, by Cited by:   (These inequalities are derived in Section 10–9.) There are many different such inequalities that need to be satisfied in many different robust control systems.

(Robust stability means that the controller K(s) guarantees internal stability of all systems that belong to a group of systems that include the system with the actual plant.

Robust stability of uncertain second-order linear time-varying systems Journal of the Franklin Institute, Vol.No. 16 Optimal Static Output Feedback Controller Design of L2 Gain Performance Based on LMI for Linear Time-varying Mechanical SystemCited by:

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