ROBUST RESIDUAL VIBRATION SUPPRESSION FOR LINEAR TIME INVARIANT SYSTEMS BY DIGITAL FILTERING OF THE GUIDANCE FUNCTION

2001 ◽  
Vol 15 (3) ◽  
pp. 565-580 ◽  
Author(s):  
I.A. ANTONIADIS ◽  
D. ECONOMOU
Keyword(s):  
Vibration Suppression ◽  
Linear Time ◽  
Digital Filtering ◽  
Residual Vibration ◽  
Linear Time Invariant ◽  
Linear Time Invariant Systems ◽  
Time Invariant ◽  
Residual Vibration Suppression

Enhancing Controllability and Observability in Underactuated and Undersensed Systems Through Switching: Application to Vibration Control

2004 ◽  
Vol 126 (4) ◽  
pp. 790-799 ◽  
Author(s):  
Shahin S. Nudehi ◽  
Ranjan Mukherjee
Keyword(s):  
Dynamical Systems ◽  
Vibration Suppression ◽  
Linear Time ◽  
Flexible Beam ◽  
Linear Time Invariant ◽  
Linear Time Invariant Systems ◽  
Controllability And Observability ◽  
Time Invariant ◽  
Control Designs

Many dynamical systems use transducers that can function both as actuators and sensors. It is possible to continuously switch the functionality of the transducer elements in such systems and effectively use each element both as an actuator and a sensor. This provides the scope for significantly reducing the number of transducer elements required for complete controllability and observability of the system and hence reduce the hardware required for controlled system operation. In this paper we advocate underactuation and undersensing in dynamical systems with the objective of reducing cost, weight, and system complexity. To this end, we first illustrate the role of switching in enhancing controllability and observability in underactuated and undersensed linear time-invariant systems and determine the switching requirement for observer-based control designs. For a proof of principle, we consider the problem of vibration suppression in a flexible beam instrumented with piezoelectric transducers. Using simulation and experiments, we demonstrate feasibility of switching the piezoelectric elements between actuator and sensor modalities and establish the merit of introducing underactuation and undersensing deliberately.

Complete moment convergence for the dependent linear processes with application to the state observers of linear-time-invariant systems

2020 ◽  
Vol 65 (4) ◽  
pp. 725-745
Author(s):  
Chao Lu ◽  
Chao Lu ◽  
Xuejun J Wang ◽  
Xuejun J Wang ◽  
Yi Wu ◽  
...  
Keyword(s):  
Linear Time ◽  
The State ◽  
Complete Moment Convergence ◽  
Linear Processes ◽  
Linear Time Invariant ◽  
Moment Convergence ◽  
State Observers ◽  
Linear Time Invariant Systems ◽  
Time Invariant

Пусть $X_t=\sum_{j=-\infty}^{\infty}A_j\varepsilon_{t-j}$ - зависимый линейный процесс, где $\{\varepsilon_n, n\in \mathbf{Z}\}$ - последовательность $m$-обобщенных отрицательно зависимых ($m$-END) случайных величин с нулевым средним, которая стохастически доминируется случайной величиной $\varepsilon$, и пусть $\{A_n, n\in \mathbf{Z}\}$ - другая последовательность случайных величин с нулевым средним, обладающая свойством $m$-END. При подходящих условиях установлена полная моментная сходимость для зависимых линейных процессов. В частности, приведены достаточные условия полной моментной сходимости. В качестве приложения исследуется сходимость наблюдателей состояния для линейных стационарных систем.

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