In this paper a new approach for cancellation of a biased harmonic disturbance is proposed. Compared with a number of known results in this paper the disturbance compensation problem is solved when the output variable...
详细信息
In this paper a new approach for cancellation of a biased harmonic disturbance is proposed. Compared with a number of known results in this paper the disturbance compensation problem is solved when the output variable is measured only, a relative degree of the plant is arbitrary and the control channel has delay. The reaction wheel pendulum on a movable platform is considered as the plant to demonstrate how proposed approach can be plugged. Created by hand disturbance moves the platform in horizontal surface and the pendulum is oscillating. The second goal of this work is the development of mechatronic applications using in education.
The synchronization problem in network having line, star or combined linestar (tree) topology via communication links with limited capacity is considered. Limit possibilities of nonlinear controlled synchronization sy...
详细信息
The synchronization problem in network having line, star or combined linestar (tree) topology via communication links with limited capacity is considered. Limit possibilities of nonlinear controlled synchronization systems with first-order coders for multi-dimensional master-slave Lurie systems (linear part plus nonlinearity depending only on measurable outputs) are presented. It is shown that the upper and lower bounds of limited synchronization error are proportional to the maximum coupling signal rate and inversely proportional to the minimum information transmission rate of network communication links (minimum channel capacity). The results are illustrated by example of synchronization in the network of Chua systems coupled via communication links with limited capacity.
The problem of input-to-output stability for switched nonlinear systems is considered. We investigate methods based both, on constant and average dwell-times. In particular, we show that constant dwell-time should dep...
详细信息
The problem of input-to-output stability for switched nonlinear systems is considered. We investigate methods based both, on constant and average dwell-times. In particular, we show that constant dwell-time should depend on initial conditions and disturbances amplitudes to ensure global stability properties for a generic nonlinear switched system.
We show that the problems of mutual, master-slave synchronisation are equivalent (up to a transformation) to a classical output tracking control for certain nonlinear time-varying systems. Therefore, solving any of th...
详细信息
We show that the problems of mutual, master-slave synchronisation are equivalent (up to a transformation) to a classical output tracking control for certain nonlinear time-varying systems. Therefore, solving any of these problems solves the others however, in the presence of disturbances such an over-simplification of the tracking/synchronisation problem may lead to loss of performance and increase of control efforts. Then, we propose a supervisor controller that ensures asymptotic tracking while keeping synchronisation errors “small”. Further, in the presence of disturbances, we establish input-output-to-state stability. In particular, we address the simultaneous tracking and synchronisation problems for mechanicalsystems.
Limit possibilities of state estimation under information constraints (limited information capacity of the coupling channel) for multi-input-multi-output (MIMO) nonlinear systems are evaluated. We give theoretical ana...
详细信息
Limit possibilities of state estimation under information constraints (limited information capacity of the coupling channel) for multi-input-multi-output (MIMO) nonlinear systems are evaluated. We give theoretical analysis for state estimation of nonlinear systems represented in Lurie form (linear part plus nonlinearity depending only on measurable outputs) with a first-order coder-decoder. It is shown that the upper bound of the limit estimation error is proportional to the upper bound of the transmission error. As a consequence, the upper bound of limit estimation error is proportional to the maximum rate of the coupling signal and inversely proportional to the information transmission rate (channel capacity). The results are applied to state estimation of a nonlinear self-excited mechanical oscillator and a reaction-wheel pendulum.
The problem of resonance regime stabilization is considered for the case of unknown natural frequency of vibration machine. A solution for fourth order linear model of the machine with uncertain parameters, external d...
详细信息
ISBN:
(纸本)9783902661302
The problem of resonance regime stabilization is considered for the case of unknown natural frequency of vibration machine. A solution for fourth order linear model of the machine with uncertain parameters, external disturbances and partial noisy measurements is proposed.
The stabilization problem for nonlinear dynamical systems under zero-state-detectability assumption or its analogues is considered. The proposed solution ensures finite time practical stabilization of the system and i...
详细信息
ISBN:
(纸本)9781424414970;1424414970
The stabilization problem for nonlinear dynamical systems under zero-state-detectability assumption or its analogues is considered. The proposed solution ensures finite time practical stabilization of the system and it is based on uniting local and global controllers for the system. The global controller provides boundedness of the system solutions and output convergence to zero, while local one ensures finite time convergence to a prescribed goal set inside the zero dynamics set. Computer simulation demonstrates potentiality of the proposed solution.
The problem of resonance regime stabilization is considered for the case of unknown natural frequency of vibration machine. A solution for fourth order linear model of the machine with uncertain parameters, external d...
详细信息
The problem of resonance regime stabilization is considered for the case of unknown natural frequency of vibration machine. A solution for fourth order linear model of the machine with uncertain parameters, external disturbances and partial noisy measurements is proposed.
An approach for estimation of on-line static measurements errors is proposed. The obtained solution is based on adaptive observer design approach. The solution can be used for measuring instruments calibration. The ad...
详细信息
An approach for estimation of on-line static measurements errors is proposed. The obtained solution is based on adaptive observer design approach. The solution can be used for measuring instruments calibration. The advances of proposed solution are demonstrated via computer simulations for several examples.
暂无评论