EE2010_Gp2_Chap1_101 - Systems System Properties DE Model Definition Maths Models Analysis& Design Block Diag Definition of Systems I A system

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Systems System Properties DE Model Definition Maths Models Analysis & Design Block Diag Definition of Systems I A system is an entity or process that manipulates one or more signals to accomplish a particular task, thereby yielding new signals. For example, I Capacitor : Input is charge/current, output is voltage I Robot : Input is applied torque, output is position of end effector (joints) I Car : Input is pressure on accelerator, output is speed I Vending machine : Input is money, output is cola I Heart : Input is electrical stimuli, output is blood flowrate I System is commonly viewed as a “black box” with p inputs and q output terminals. y q (n) x p (n) Continuous System y 1 (t) y 2 (t) y q (t) x 1 (t) x 2 (t) x p (t) Discrete System y 1 (n) y 2 (n) x 1 (n) x 2 (n) Output signals represent the influence of the system on the environment Input signals represent how environment influences the system i.e. message/instruction from the environment EE2010 Systems & Control Notes  WW Tan Chapter 1 Page 1 Systems System Properties DE Model Definition Maths Models Analysis & Design Block Diag Example How signals are transformed by systems System x ( t ) y ( t ) x ( t ) and y ( t ) are elementary signals or its combination. I Anger person feels after receiving slap Time Input/Output Signal 0 0 Input Signal : Slap model ed as impulse function δ (t) System : Person Output Signal : Anger represented mathematical y as Ke-at U(t) I Car speed when accelerator is floored Time Input/Output Signal 0 0 Output signal : Car speed, [K o- K o e-at ] U(t) Input signal : Pressure on accelerator, K i U(t) System : Car EE2010 Systems & Control Notes  WW Tan Chapter 1 Page 2 Systems System Properties DE Model Definition Maths Models Analysis & Design Block Diag Mathematical Models of Systems A system model is an idealised mathematical equation that predicts how the system would behave. I When the mathematical representation is compared to the physical system, they must agree to an acceptable level of accuracy. Time Input/Output Signal 0 0 Input Signal : Slap model ed as impulse function δ (t) "Model" of a Person Output of model : Anger represented mathematical y as Ke-at U(t) Actual output signal Types of model : I Integrodifferential equations + +-- V(t) V(t) i(t) i(t) C L Capacitor Inductor V ( t ) = 1 C Z ∞ i ( τ ) d τ V ( t ) = L di ( t ) dt EE2010 Systems & Control Notes  WW Tan Chapter 1 Page 3 Systems System Properties DE Model Definition Maths Models Analysis & Design Block Diag I Impulse representation (Introduced in EE2009) I The impulse response , h ( t ), is output signal of a system when input signal is δ ( t ). I For a general input signal, u ( t ), the output signal can be derived by convolution ....
View Full Document

This note was uploaded on 07/11/2011 for the course ECE 2010 taught by Professor Tankaychen during the Spring '11 term at National University of Singapore.

Page1 / 23

EE2010_Gp2_Chap1_101 - Systems System Properties DE Model Definition Maths Models Analysis& Design Block Diag Definition of Systems I A system

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online