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Lecture 4 Modeling (iii) – canonical forms. 4.1 Phase-variable canonical form 4.2 Controllable canonical form 4.3 Observable canonical form 4.4 Diagonal & Jordan canonical form. Differential equation. Dynamical equation. or Transfer function. Phase-variable canonical form. …. ∫. ∫.
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Lecture 4 Modeling (iii) –canonical forms 4.1 Phase-variable canonical form 4.2 Controllable canonical form 4.3 Observable canonical form 4.4 Diagonal & Jordan canonical form
Differential equation Dynamical equation or Transfer function Modern Control Systems
Phase-variable canonical form Modern Control Systems
… ∫ ∫ ∫ ∫ + + Modern Control Systems
Example 1 Modern Control Systems
controllable canonical form Modern Control Systems
… … ∫ ∫ ∫ ∫ + + + Modern Control Systems
… ∫ ∫ ∫ ∫ + + + Modern Control Systems
Example 2 Answer 2 Modern Control Systems
observable canonical form Modern Control Systems
… ∫ ∫ ∫ … + + + + … Modern Control Systems
Example 3 Remark Modern Control Systems
Diagonal & Jordan canonical form Modern Control Systems
+ + + + Modern Control Systems
Jordan block Modern Control Systems
Example 4 Modern Control Systems