{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

11 - PolePlacement11 filled

# 11 - PolePlacement11 filled - ME 575 Handouts 1 ME575...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ME 575 Handouts 1 ME575 Session 11 – Pole Placement School of Mechanical Engineering Purdue University Slide 1 POLE PLACEMENT DESIGN POLE PLACEMENT DESIGN • Motivation Motivation – A systematic procedure to synthesize a controller for A systematic procedure to synthesize a controller for SISO LTI systems to place closed SISO LTI systems to place closed-loop poles of nominal loop poles of nominal system at certain desired locations system at certain desired locations • Polynomial Approach Polynomial Approach – General Formulation General Formulation • No constraint on the controller to be used No constraint on the controller to be used – Practical Constraints Practical Constraints • Controller with integrator Controller with integrator • Controller with stable pole/zero cancellation Controller with stable pole/zero cancellation • PID Controller via Pole Placement PID Controller via Pole Placement ME575 Session 11 – Pole Placement School of Mechanical Engineering Purdue University Slide 2 Closed Closed-Loop Characteristic Loop Characteristic Eq Eq . Controller Plant R(s) Y(s) + − C G o o o o Go C Go C G (s)C(s) T(s) 1 G (s)C(s) characteristic eq: 1 G (s)C(s) D (s)D (s) N (s)N (s) = + + = + = C C Go o Go let N (s) C(s) , D (s) N (s) G (s) D (s) = = ME 575 Handouts 2 ME575 Session 11 – Pole Placement School of Mechanical Engineering Purdue University Slide 3 Basic Idea of Pole Placement Basic Idea of Pole Placement • Specify desired characteristic polynomial: Specify desired characteristic polynomial: • Equate desired polynomial with polynomial given Equate desired polynomial with polynomial given by by C(s C(s ) and ) and G o (s (s ): ): • Match coefficients and solve Match coefficients and solve CL CL CL CL CL CL n n 1 c c c c CL n n 1 1 c n 1 2 n D (s) s s s (s p )(s p )...
View Full Document

{[ snackBarMessage ]}

### Page1 / 7

11 - PolePlacement11 filled - ME 575 Handouts 1 ME575...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online