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Generalized Stabilizing Control Laws Design Using Lyapunov Stability Theory
Active and Passive Control of Mechanical Vibration, 1994Abstract A new control law design approach based upon Lyapunov stability theory is discussed. The proposed approach takes control inputs into account in the Lyapunov function. The control law turns out to be phase-lead or lag compensators which are different from conventional Proportional plus Derivative (PD) control laws. The type of
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Capturability Analysis of PN Laws Using Lyapunov Stability Theory
AIAA Guidance, Navigation, and Control Conference and Exhibit, 2004The Lyapunov stability theory has been known inadequate to prove capturability of guidance laws because the equations of motion resulted from the guidance laws do not have the equilibrium points. By introducing a proper transformation of the range state, the original equations of motion for a stationary target can be converted into nonlinear equations ...
Chang-Kyung Ryoo +2 more
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Stability Theory And Lyapunov's Second Method.
1962PhD ; Mathematics ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/185630/2/6300439 ...
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Feedback control of tethered satellites using Lyapunov stability theory
Journal of Guidance, Control, and Dynamics, 1991This paper treats the three-dimensional aspects of tethered satellite deployment and retrieval. Feedback control laws with guaranteed closed-loop stability are obtained using the second method of Lyapunov. Tether mass and aerodynamic effects are not included in the design of the control laws.
S. R. Vadali, E.-S. Kim
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Lyapunov’s theory methods in stability problems of singular systems
Nonlinear Analysis: Theory, Methods & Applications, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Investigation of human-robot interaction stability using Lyapunov theory
2008 IEEE International Conference on Robotics and Automation, 2008For human-robot cooperation in the context of human-augmentation tasks, the stability of the control model is of great concern due to the risk for the human safety represented by a powerful robot. This paper investigates stability conditions for impedance control in this cooperative context and where touch is used as the sense of interaction.
Vincent Duchaine, Clement M. Gosselin
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Further investigation of Lyapunov stability theory
Abstract not available.Phooi, Seng Kah +2 more
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Lyapunov Functions in Stability Theory of Nonlinear Difference Delay Equations
Differential Equations, 2002Using the direct Lyapunov method, the author obtains sufficient conditions for uniform asymptotic stability and for instability of the zero solution to the following nonlinear difference equation \[ x(k+1)-x(k)=f(k,x[k]), \quad k= \sigma ,\sigma +1,\dots, \] where \(x=(x_1,x_2,\dots,x_n),\) the function \(f:{\mathbb Z}\times {\mathfrak M}_p\rightarrow {
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Lyapunov Stability Theory Based Control of Uncertain Dynamical Systems
1994Summary: We present a controller design methodology for uncertain systems which is based on the constructive use of Lyapunov stability theory. The uncertainties, which are deterministic, are characterized by certain structural conditions and known as well as unknown bounds. As a consequence of the Lyapunov approach, the methodology is not restricted to
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Control and Stabilization of Chaotic Systems Using Lyapunov Stability Theory
2023 International Conference on Electrical Engineering and Advanced Technology (ICEEAT), 2023Baghdadi Hamidouche +2 more
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