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Asymptotic Tracking for an Oscillated System Consider the following system: (t) = 12(t) %3D i(1) = -1(t) + u(t) Ym (t) = 11(t) e(t) = 1(t) – t - 10 where r(t) = (1 (t), r2(t))" € R² is the system state; u(t) €R is the control in Ym (1), e(t) E R denote the measurement outpu ad regulated output, respecti 1. Examine the existence of u(t) such that lim e(t) = 0. %3D 2. If u(t) exists, give a specific design of uft).

Asymptotic Tracking for an Oscillated System Consider the following system: (t) = 12(t) %3D i(1) = -1(t) + u(t) Ym (t) = 11(t) e(t) = 1(t) – t - 10 where r(t) = (1 (t), r2(t))" € R² is the system state; u(t) €R is the control in Ym (1), e(t) E R denote the measurement outpu ad regulated output, respecti 1. Examine the existence of u(t) such that lim e(t) = 0. %3D 2. If u(t) exists, give a specific design of uft).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Asymptotic Tracking for an Oscillated System Consider the following system: (t) = 12(t) iz(t) = -1,(t) + u(t) %3D (1) Ym (t) = 11(t) e(t) = r1(t) – t – 10 where r(t) = (r,(t), r2(t))" € R² is the system state; u(t) ER is the control input; Ym (t), e(t) E R denote the measurement outpu nd regulated output, respectively. 1. Examine the existence of u(t) such that lim e(t) = 0. (2) %3D 2. If u(t) exists, give a specific design of u(t).
Transcribed Image Text:Asymptotic Tracking for an Oscillated System Consider the following system: (t) = 12(t) iz(t) = -1,(t) + u(t) %3D (1) Ym (t) = 11(t) e(t) = r1(t) – t – 10 where r(t) = (r,(t), r2(t))" € R² is the system state; u(t) ER is the control input; Ym (t), e(t) E R denote the measurement outpu nd regulated output, respectively. 1. Examine the existence of u(t) such that lim e(t) = 0. (2) %3D 2. If u(t) exists, give a specific design of u(t).
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