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961ls06CtrbObsv2 - Fall 2007 Linear Systems Chapter 06...

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Fall 2007 線性系統 Linear Systems Chapter 06 Controllability & Observability Feng-Li Lian NTU-EE Sep07 – Jan08 Materials used in these lecture notes are adopted from “Linear System Theory & Design,” 3rd. Ed., by C.-T. Chen (1999) NTUEE-LS6-CtrbObsv-2 Feng-Li Lian © 2007 Outline Introduction Controllability (6.2) Observability (6.3) Canonical Decomposition (6.4) Conditions in Jordan-Form Equations (6.5) Discrete-Time State Equations (6.6) Controllability after Sampling (6.7)
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NTUEE-LS6-CtrbObsv-3 Feng-Li Lian © 2007 Introduction (6.1) ¨ Controllability and observability reveal the internal structure of the system ( model ) 1 input : u 2 states : x 1 , x 2 1 output : y The state x 2 is NOT controllable ” by the input u The state x 1 is NOT observable ” at the output y = x 2 +2 u NTUEE-LS6-CtrbObsv-4 Feng-Li Lian © 2007 Controllability (6.2)
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