Feedback Tracking Control under Partial Discrete-Time Measurements of the State Vector

2021 ◽  
Vol 60 (4) ◽  
pp. 549-558
Author(s):  
V. I. Maksimov
Keyword(s):  
Discrete Time ◽  
State Vector ◽  
Tracking Control ◽  
The State ◽  
Feedback Tracking

The size order of the state vector of discrete-time homogeneous Markov systems

2001 ◽  
Vol 38 (2) ◽  
pp. 357-368 ◽  
Author(s):  
I. Kipouridis ◽  
G. Tsaklidis
Keyword(s):  
Lower Bound ◽  
Discrete Time ◽  
State Vector ◽  
The State ◽  
Order Problem ◽  
Markov Systems ◽  
Markov System

The size order problem of the probability state vector elements of a homogeneous Markov system is examined. The time t0 is evaluated, after which the order of the state vector probabilities remains unchanged, and a formula to quickly find a lower bound for t0 is given. A formula for approximating the mode of the state sizes ni(t) as a function of the means Eni(t), and a relation to evaluate P(ni(t) = x+1) by means of certain terms which constitute P(ni(t) = x) are derived.

KETEROBSERVASIAN SISTEM LINIER DISKRIT

2015 ◽  
Vol 4 (1) ◽  
pp. 108
Author(s):  
Midian Manurung
Keyword(s):  
Linear System ◽  
Discrete Time ◽  
State Vector ◽  
The State ◽  
Input Vector ◽  
Linear Control ◽  
Time Interval ◽  
Initial State ◽  
Time Invariant ◽  
Time Linear

Given the following discrete time-invariant linear control systems:where x 2 Rnx(t + 1) = Ax(t) + Bu(t);y(t) = Cx(t);is the state vector, u 2 Rmis an input vector, y 2 Rris dened as anoutput, A 2 Rnn, B 2 Rnm, and t 2 Zis dened as time. Linear system is said to beobservable on the nite time interval [t0; t+f] if any initial state xis uniquely determinedby the output y(t) over the same time interval. In order to examine the observabilityof the system, we will use a criteria, that is by determining the observability Gramianmatrix of the system is nonsingular and rank of the observability matrix for the systemis n.

Optimal H∞-Based Linear-Quadratic Regulator Tracking Control for Discrete-Time Takagi–Sugeno Fuzzy Systems With Preview Actions

2013 ◽  
Vol 135 (4) ◽  
Author(s):  
Hui Zhang ◽  
Yang Shi ◽  
Bingxian Mu
Keyword(s):  
Discrete Time ◽  
Tracking Control ◽  
Design Problem ◽  
Fuzzy Systems ◽  
State Feedback ◽  
Controller Design ◽  
Tracking Error ◽  
The State ◽  
Control Signal ◽  
Takagi Sugeno

This paper investigates the optimal tracking control problem for discrete-time Takagi–Sugeno (T–S) systems. The control signal has three components: preview control for the previewable reference signal, integral control for the tracking error, and the state-feedback control for the plant. The optimization objective is a quadratic form of the tracking error and the control signal. By using the augmentation technique, the tracking controller design problem is converted into a design problem of the state-feedback controllers for augmented T–S fuzzy systems. The quadratic optimization objective is equivalent to the two-norm (in fact, the square of the two-norm) of a controlled output. Assuming that the external inputs of the augmented systems are l2 bounded, the H∞ performance index is employed to investigate and optimize the controller design. The controller gains can be obtained by solving a sequence of linear matrix inequalities (LMIs). An example on electromechanical system shows the efficacy of the proposed design method.

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