A new framework for adaptive regulation of dynamical systems to invariant sets is proposed. The framework allows to adaptively steer the system trajectories to a desired non-equilibrium state without requiring knowled...
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The problem of numerical evaluation of the excitability index for oscillatory systems is considered. It is shown that the speed-gradient excitation provides exact solution to the maximum energy problem for a second or...
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The problem of numerical evaluation of the excitability index for oscillatory systems is considered. It is shown that the speed-gradient excitation provides exact solution to the maximum energy problem for a second order linear oscillator over the infinite time interval. Upper and lower bounds for the total energy of the system in the steady-state oscillation mode and the excitability index are estimated. Exact value of the accessible system energy for the harmonic excitation case is found.
Switching adaptive control scheme is developed, which provides global asymptotic stability property with respect to state vector of the plant with functional uncertainty. In the presence of disturbance the scheme ensu...
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Switching adaptive control scheme is developed, which provides global asymptotic stability property with respect to state vector of the plant with functional uncertainty. In the presence of disturbance the scheme ensures boundedness of all trajectories of the system. Under some mild conditions proposed solution ensures convergence of state vector of the plant to specified neighborhood of the origin for arbitrary initial conditions and bounded disturbances.
In this paper we propose a novel adaptive control algorithm which allows to handle the issues of detectability, robustness and transient performance of adaptive systems. The controller structurally is similar to that ...
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In this paper we propose a novel adaptive control algorithm which allows to handle the issues of detectability, robustness and transient performance of adaptive systems. The controller structurally is similar to that of Panteley et al (2002). It is designed, however, on the grounds of rather different philosophy – estimation of the derivatives of plant state. In addition to systems which can be rendered to be asymptotically stable by means of the state feedback, plants satisfying assumption of partial asymptotic stability are considered.
A new framework for adaptive regulation of dynamical systems to invariant sets is proposed. The framework allows to adaptively steer the system trajectories to a desired non-equilibrium state without requiring knowled...
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A new framework for adaptive regulation of dynamical systems to invariant sets is proposed. The framework allows to adaptively steer the system trajectories to a desired non-equilibrium state without requiring knowledge or even existence of a specific strict Lyapunov function.
An adaptive output feedback control algorithm providing exact tuning of adjustable parameters to unknown values, which ensure for the system desired biturcation properties is proposed. Algorithm is based on passificat...
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A switching control is presented, which unites global stabilising control law and local optimal one. In the presence of disturbances this switching control ensures boundedness of ail trajectories of the system and add...
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New conditions for oscillatority of a system in the sense of Yakubovich (1973) are proposed. These conditions are applicable to nonlinear systems decomposed into two nonlinear parts. Upper and lower bounds for oscilla...
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New conditions for oscillatority of a system in the sense of Yakubovich (1973) are proposed. These conditions are applicable to nonlinear systems decomposed into two nonlinear parts. Upper and lower bounds for oscillation amplitude are obtained. The relation between the oscillatority bounds and excitability indices for the systems with the input are established. An example illustrating the proposed results by computer simulation is given.
Feedback connection of (strict) passive systems with multiplicative disturbance on the input of one of systems is considered. Series of conditions are proposed, which provide (strict) passivity property for overall sy...
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A switching control is presented, which unites global stabilising control law and local optimal one. In the presence of disturbances this switching control ensures boundedness of all trajectories of the system and add...
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A switching control is presented, which unites global stabilising control law and local optimal one. In the presence of disturbances this switching control ensures boundedness of all trajectories of the system and additionally provides output attractiveness property, if disturbance is absent.
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