Dynamics and Control of Hybrid Mechanical Systems. için kapak resmi
Başlık:
Dynamics and Control of Hybrid Mechanical Systems.
ISBNp:
9789814282321
Dil:
English
Yayın Bilgileri:
Singapore :

World Scientific Publishing Co Pte Ltd,

2010.

©2010.
Fiziksel Tanımlama:
1 online resource (264 pages)
Seri:
World Scientific Series on Nonlinear Science Series B Ser. ; v.14

World Scientific Series on Nonlinear Science Series B Ser.
İçerik:
Intro -- Contents -- Preface -- Biography: Ilya Izrailevich Blekhman -- 1. Huijgens' Synchronization: A Challenge H. Nijmeijer, A.Y. Pogromsky -- References -- 2. Lyapunov Quantities and Limit Cycles of Two-dimensional Dynamical Systems N.V. Kuznetsov, G.A. Leonov -- Abstract -- 2.1 Introduction -- 2.2 Computation of Lyapunov quantities and small limit cycles -- 2.2.1 Computation of Lyapunov quantities in Euclidean coordinates and in the time domain -- 2.2.1.1 Approximation of solution in Euclidean coordinates -- 2.2.1.2 Computation of Lyapunov quantities in the time domain -- 2.2.2 Application of Lyapunov function to the computation of Lyapunov quantities -- 2.2.3 Lyapunov quantities of Lienard equation -- 2.3 Transformation between quadratic systems and Lienard equation -- 2.4 Method of asymptotic integration for Lienard equation with discontinuous right-hand side and large limit cycles -- 2.5 Four limit cycles for Lienard equation and the corresponding quadratic system -- Acknowledgments -- References -- 3. Absolute Observation Stability for Evolutionary Variational Inequalities G.A. Leonov, V. Reitman -- Abstract -- 3.1 Introduction -- 3.2 Evolutionary variational inequalities -- 3.3 Basic assumptions -- 3.4 Absolute observation - stability of evolutionary inequalities -- 3.5 Application of observation stability to the beam equation -- References -- 4. A Discrete-time Hybrid Lurie Type System V.N. Belykh, B. Ukrainsky -- Abstract -- 4.1 Introduction -- 4.2 Reduction to a normal form -- 4.3 Existence of invariant domain -- 4.4 Conditions of hyperbolicity -- Acknowledgments -- References -- 5. Frequency Domain Performance Analysis of Marginally Stable LTI Systems with Saturation R.A. van den Berg, A.Y. Pogromsky, J.E. Rooda -- Abstract -- 5.1 Introduction -- 5.2 LTI system with saturation -- 5.2.1 System description.

5.2.2 Case: electromechanical system -- 5.2.3 Motivating example: nonlinear behavior -- 5.3 Convergent systems and simulation-based frequency domain analysis -- 5.3.1 Convergent systems -- 5.3.2 Convergent system design -- 5.3.3 Performance analysis in frequency domain -- 5.4 Frequency domain analysis based on describing function approach -- 5.4.1 Describing function method -- 5.4.2 Performance analysis example -- 5.5 Conclusion -- Acknowledgments -- References -- 6. Reduction of Steady-State Vibrations in a Piecewise Linear Beam System using Proportional and Derivative Control R.H.B. Fey, R.M.T. Wouters, H. Nijmeijer -- Abstract -- 6.1 Introduction -- 6.2 Experimental set-up -- 6.3 Steady-state behavior of the uncontrolled system -- 6.4 Control objectives and PD controller design approach -- 6.5 Dynamic model -- 6.6 Effects of separate P-action and separate D-action -- 6.7 PD control -- 6.7.1 Control objective 1 -- 6.7.2 Control objective 2 -- 6.8 Comparison with passive control via a linear DVA -- 6.9 Conclusions -- Acknowledgments -- References -- 7. Hybrid Quantised Observer for Multi-input-multi- output Nonlinear Systems A.L. Fradkov, B.R. Andrievskiy, R.J. Evans -- Abstract -- 7.1 Introduction -- 7.2 Description of state estimation over the limited-band communication channel -- 7.3 Coding procedure -- 7.4 Evaluation of state estimation error -- 7.5 Example. State estimation of nonlinear oscillator -- 7.6 Conclusions -- Acknowledgments -- References -- 8. Tracking Control of Multiconstraint Nonsmooth Lagrangian Systems C. Morarescu, B. Brogliato, T. Nguyen -- Abstract -- 8.1 Introduction -- 8.2 Basic concepts . -- 8.2.1 Typical task -- 8.2.2 Exogenous signals entering the dynamics -- 8.2.3 Stability analysis criteria -- 8.3 Controller design -- 8.4 Tracking control framework -- 8.4.1 Design of the desired trajectories.

8.4.2 Design of q¤d(¢) and qd(¢) on the phases Ik -- 8.5 Design of the desired contact force during constraint phases -- 8.6 Strategy for take-off at the end of constraint phases -- 8.7 Closed-loop stability analysis -- 8.8 Illustrative example -- 8.9 Conclusions -- References -- 9. Stability and Control of Lur'e-type Measure Di®erential Inclusions N. van de Wouw, R. I. Leine -- Abstract -- 9.1 Introduction -- 9.2 Preliminaries -- 9.3 Measure differential inclusions -- 9.4 Convergent systems -- 9.5 Convergence properties of Lur'e-type measure di®erential inclusions -- 9.6 Tracking control of Lur'e-type measure differential inclusions -- 9.7 Example of a mechanical system with a unilateral constraint -- 9.8 Conclusions -- References -- 10. Synchronization between Coupled Oscillators: An Experimental Approach D.J. Rijlaarsdam, A.Y. Pogromsky, H. Nijmeijer -- Abstract -- 10.1 Introduction -- 10.2 Experimental set-up -- 10.2.1 Adjustment of the systems' properties -- 10.3 Example 1: Coupled Duffing oscillators -- 10.3.1 Problem statement and analysis -- 10.3.2 Experimental and numerical results -- 10.4 Example 2: Two coupled rotary disks -- 10.4.1 Problem statement -- 10.4.2 Experimental results -- 10.5 Conclusion and future research -- Acknowledgments -- References -- 11. Swinging Control of Two-pendulum System under Energy Constraints M. S. Ananyevskiy, A.L. Fradkov, H. Nijmeijer -- Abstract -- 11.1 Introduction -- 11.2 Control algorithm: formulation of the problem and approach -- 11.2.1 Special case: Energy control for Hamiltonian systems -- 11.3 Two pendulums under a single force -- 11.3.1 Control problem formulation -- 11.3.2 Control algorithm design -- 11.3.3 Control algorithm analysis -- 11.4 Conclusion -- Acknowledgment -- References -- 12. Two Van der Pol-Duffing Oscillators with Huygens Coupling V.N. Belykh, E.V. Pankratova, A.Y. Pogromsky.

Abstract -- 12.1 Introduction -- 12.2 Problem statement -- 12.3 Synchronization of oscillators driven by Van der Pol control input -- 12.4 Synchronization of oscillators driven by Van der Pol-Du±ng control input -- 12.5 Conclusions -- Acknowledgments -- References -- 13. Synchronization of Diffusively Coupled Electronic Hindmarsh-Rose Oscillators E. Steur, L. Kodde, H. Nijmeijer -- Abstract -- 13.1 Introduction -- 13.2 Preliminaries -- 13.3 Synchronization of diffusively coupled Hindmarsh-Rose oscillators -- 13.4 Experimental setup -- 13.5 Synchronization experiments -- 13.6 Conclusions -- Acknowledgments -- References -- 14. Multipendulum Mechatronic Setup for Studying Control and Synchronization A.L. Fradkov, B.R. Andrievskiy, K.B. Boykov, B.P. Lavrov -- Abstract -- 14.1 Introduction -- 14.2 Design of mechanical part -- 14.3 Electronics of the multipendulum setup -- 14.3.1 System for data exchange with control computer -- 14.3.2 Architecture of the data exchange system -- 14.3.3 Computer-process interface -- 14.3.4 Electronic modules of the set-up -- 14.3.5 Communications protocol -- 14.4 Conclusions -- Acknowledgments -- References -- 15. High-frequency Effects in 1D Spring-mass Systems with Strongly Non-linear Inclusions B.S. Lazarov, S.O. Snaeland, J.J. Thomsen -- Abstract -- 15.1 Introduction -- 15.2 Mechanical model -- 15.3 Band gap effects in periodic structures -- 15.4 Approximate equations governing the slow and the fast motion -- 15.4.1 Example 1: linear plus cubic non-linearity -- 15.4.2 Example 2: essentially non-linear damping and restoring forces -- 15.5 Numerical examples . -- 15.5.1 Inclusions with linear plus cubic non-linear behaviour -- 15.5.2 Non-linear inclusions with non-local interaction -- 15.5.3 Linear chains with non-linear damping forces -- 15.6 Conclusions -- Acknowledgments -- References.
Özet:
Key Features:Should be of interest to university faculty, graduate students and researchers interested in the broad area of nonlinear dynamics and nonlinear controlDedicated to the 80th birthday of Ilya Blekhman - the great scientist in the field of vibrational mechanics and synchronizationContains a brief description of Blekhman's life and works, some of which are not well known in the West.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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