Skip header Section
Skip Bibliometrics Section
L2-Gain and Passivity in Nonlinear ControlMay 1999
- Authors:
- Arjan van der Schaft,
- A. J. Schaft
Skip Abstract Section
Abstract
From the Publisher:
This book gives a unified treatment of classical input output stability theory and recent developments in nonlinear robust and passivity-based control. The synthesis between these areas is provided by the theory of dissipative systems. Specifically, the small-gain and passivity theorems and their implications for nonlinear stability and stabilization are discussed from this vantage-ground. The connection between L - gain and passivity via scattering is detailed." "The passivity concepts are enriched by a generalised Hamiltonian formalism, emphasising the close relations with modeling and control by interconnection. Feedback equivalence to a passive system and resulting stabilization strategies are discussed." "The potential of L[subscript 2] - gain techniques in nonlinear control is demonstrated, including a compact treatment of the nonlinear H[subscript [infinity]] optimal control problem.
Cited By
- Sartori E, Tadiello C, Secchi C and Muradore R Tele-Echography using a Two-Layer Teleoperation Algorithm with Energy Scaling 2019 International Conference on Robotics and Automation (ICRA), (1569-1575)
- Folkertsma G, Groothuis S and Stramigioli S Safety and Guaranteed Stability Through Embedded Energy-Aware Actuators 2018 IEEE International Conference on Robotics and Automation (ICRA), (2902-2908)
- Seiler P IQC Analysis of Uncertain LTV Systems with Rational Dependence on Time 2018 IEEE Conference on Decision and Control (CDC), (7213-7218)
- Lee D and Lui K (2017). Passive Configuration Decomposition and Passivity-Based Control of Nonholonomic Mechanical Systems, IEEE Transactions on Robotics, 33:2, (281-297), Online publication date: 1-Apr-2017.
- Cao Z, Hou X and Zhao W (2017). A Family of Robust Simultaneous Controllers With Tuning Parameters Design for a Set of Port-Controlled Hamiltonian Systems, Asian Journal of Control, 19:1, (151-163), Online publication date: 1-Jan-2017.
- Wang S, Pfifer H and Seiler P (2016). Robust synthesis for linear parameter varying systems using integral quadratic constraints, Automatica (Journal of IFAC), 68:C, (111-118), Online publication date: 1-Jun-2016.
- Wang X, Xu D and Ji H (2016). Robust almost output consensus in networks of nonlinear agents with external disturbances, Automatica (Journal of IFAC), 70:C, (303-311), Online publication date: 1-Aug-2016.
- Yalçın Y, Gören-Sümer L and Kurtulan S (2016). Robust Disturbance Attenuation in Hamiltonian Systems Via Direct Digital Control, Asian Journal of Control, 18:1, (273-282), Online publication date: 1-Jan-2016.
- Min Jun Kim , Youngjin Choi and Wan Kyun Chung (2015). Bringing Nonlinear
$\mathcal {H}_\infty$ - Ott C, Dietrich A and Albu-Schäffer A (2015). Prioritized multi-task compliance control of redundant manipulators, Automatica (Journal of IFAC), 53:C, (416-423), Online publication date: 1-Mar-2015.
- Qu Z and Simaan M (2014). Modularized design for cooperative control and plug-and-play operation of networked heterogeneous systems, Automatica (Journal of IFAC), 50:9, (2405-2414), Online publication date: 1-Sep-2014.
- Vos E, Scherpen J and van der Schaft A (2014). Equal distribution of satellite constellations on circular target orbits, Automatica (Journal of IFAC), 50:10, (2641-2647), Online publication date: 1-Oct-2014.
- Ding S, Yang Y, Zhang Y and Li L (2014). Data-driven realizations of kernel and image representations and their application to fault detection and control system design, Automatica (Journal of IFAC), 50:10, (2615-2623), Online publication date: 1-Oct-2014.
- (2014). Conditions for stability of droop-controlled inverter-based microgrids, Automatica (Journal of IFAC), 50:10, (2457-2469), Online publication date: 1-Oct-2014.
Majumdar R, Render E and Tabuada P (2013). A theory of robust omega-regular software synthesis, ACM Transactions on Embedded Computing Systems, 13:3, (1-27), Online publication date: 1-Dec-2013.- Koutsoukos X, Kottenstette N, Hall J, Eyisi E, Leblanc H, Porter J and Sztipanovits J (2013). A passivity approach for model-based compositional design of networked control systems, ACM Transactions on Embedded Computing Systems, 11:4, (1-31), Online publication date: 1-Dec-2012.
- Fu Y, Kottenstette N, Lu C and Koutsoukos X Feedback thermal control of real-time systems on multicore processors Proceedings of the tenth ACM international conference on Embedded software, (113-122)
- Majumdar R, Render E and Tabuada P Robust discrete synthesis against unspecified disturbances Proceedings of the 14th international conference on Hybrid systems: computation and control, (211-220)
- Forni F, Nešić D and Zaccarian L (2011). Reset passivation of nonlinear controllers via a suitable time-regular reset map, Automatica (Journal of IFAC), 47:9, (2099-2106), Online publication date: 1-Sep-2011.
- Ny J and Pappas G Robustness analysis for the certification of digital controller implementations Proceedings of the 1st ACM/IEEE International Conference on Cyber-Physical Systems, (99-108)
- Hsueh Y, Su S, Tao C and Hsiao C (2010). Robust L2-gain compensative control for direct-adaptive fuzzy-control-system design, IEEE Transactions on Fuzzy Systems, 18:4, (661-673), Online publication date: 1-Aug-2010.
- Larsen M and Blanke M Control by damping injection of electrodynamic tether system in an inclined orbit Proceedings of the 2009 conference on American Control Conference, (4824-4829)
- Dallinger R and Rupp M A strict stability limit for adaptive gradient type algorithms Proceedings of the 43rd Asilomar conference on Signals, systems and computers, (1370-1374)
- Pasumarthy R and Kao C On stability of time delay Hamiltonian systems Proceedings of the 2009 conference on American Control Conference, (4909-4914)
- Shimizu K PċSPRċD control and PċIċSPRċD control for affine nonlinear systems Proceedings of the 2009 conference on American Control Conference, (4680-4686)
- Csercsik D, Szederkényi G and Hangos K Cascade stabilization and reference tracking of a simple nonlinear limb model Proceedings of the 26th IASTED International Conference on Modelling, Identification, and Control, (369-374)
- De Rinaldis A, Ortega R and Spong M (2006). A compensator for attenuation of wave reflections in long cable actuator-plant interconnections with guaranteed stability, Automatica (Journal of IFAC), 42:10, (1621-1635), Online publication date: 1-Oct-2006.
- Bi D, Zhang J and Wang G Fuzzy virtual coupling design for high performance haptic display Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part I, (942-949)
- Byrnes C, Gilliam D, Shubov V and Weiss G (2002). Regular Linear Systems Governed by a Boundary Controlled Heat Equation, Journal of Dynamical and Control Systems, 8:3, (341-370), Online publication date: 1-Jul-2002.
Recommendations
Stability and L2-gain analysis for impulsive delay systems
The problems of exponential stability and L2-gain for a class of time-delay systems with impulsive effects are studied. The main tool used is the construction of an impulse-time-dependent complete Lyapunov functional. By dividing the impulse interval ...