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EE2010_Gp2_Chap1_1011s2

# EE2010_Gp2_Chap1_1011s2 - Systems System Properties DE...

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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

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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 Slap, δ (t) Anger Person Time Input/Output Signal 0 0 Input Signal : Slap modelled as impulse function δ (t) System : Person Output Signal : Anger represented mathematically as Ke -at U(t) I Car speed when accelerator is floored Pressure on accelerator, K i U(t) Car speed Car 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