Stability and Performance Limits of Interaction Controllers

1992 ◽  
Vol 114 (4) ◽  
pp. 563-570 ◽  
Author(s):  
W. S. Newman
Keyword(s):  
Linear Time ◽  
Control Performance ◽  
Performance Limits ◽  
Linear Time Invariant ◽  
Interaction Control ◽  
Controlled Systems ◽  
Linear Time Invariant Systems ◽  
And Performance ◽  
Mass Spring ◽  
Time Invariant

Theoretical performance limits of controlled systems which interact with dynamic environments are analyzed from consideration of simple, single-axis mass-spring-damper systems. A measure of interaction control performance is defined which is independent of environment dynamics. It is shown that unmodelled dynamics between actuators and sensors places severe constraints on interaction control performance. An ultimate performance limit to guaranteed-stable interaction control is derived. A general algorithm is proposed for the design of guaranteed-stable interaction controllers which applies to arbitrary linear, time-invariant systems, and which approaches the optimal admittance while providing good disturbance rejection. The approach is illustrated in simulations.

Application of Supervisory Predictive Control Based on T-S Model in pH Neutralization Process

2014 ◽  
Vol 511-512 ◽  
pp. 867-870
Author(s):  
Su Zhen Li ◽  
Xiang Jie Liu ◽  
Gang Yuan
Keyword(s):  
Predictive Control ◽  
Linear Time ◽  
Control Performance ◽  
Invariant State ◽  
Linear Time Invariant ◽  
Neutralization Process ◽  
S Model ◽  
Time Invariant ◽  
Ph Neutralization ◽  
Ph Neutralization Process

T-S model is linearized at sampling points into the form of linear time-invariant state space , and using supervisory predictive control and muti-step predictive control strategy, which reduces amount of calculation and improves the control performance. Introduction

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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