Numerical Computing with Simulink, Vol. 1: LMswitchtime.m - File Exchange

Code covered by the BSD License

Highlights from
Numerical Computing with Simulink, Vol. 1

Heating_Control_GUI(varargin) HEATING_CONTROL_GUI M-file for Heating_Control_GUI.fig
NCS_Library(varargin) NCS_LIBRARY M-file for NCS_Library.fig
Fibonacci_Mfile(n) FIBONACCI Fibonacci sequence
aero_phaseplane(u) AERO_PHASEPLANE plot for lunar module digital autopilot
butterworthncs(n, freq) The Butterworth Filter transfer function
c2d_ncs(a, b, deltat) C2D_NCS Converts a state space model in continuous time
c2d_ncs(a, b, deltat) C2D_NCS Converts a state space model in continuous time
reset_pushbuttons(resetcomman...
reset_time(Time)
updatesettemps(Tdata)
updatetemps(Tdata)
updatetime(Clock)
Edited_Weather_data.m
LMdap3dof_data.m
LMphaseplane.m
LMswitchtime.m
Lorenz_eigs.m
Maple_CCt_identity.m
Maple_CCt_identity2.m
RootLocus1.m
RootLocus2.m
SFTwoRoomHouse.m
Simulated_Temp_Data.m
Simulated_Temp_Data.m
Test_Noise_Models.m
Thermdat_NCS.m
TimeOptimal_phaseplot.m
Train_Data.m
TwoRoomHouse.m
TwoRoomHouse24.m
Weather_data.m
Weather_data.m
Weather_data.m
oneftest.m
AnalogFiltersp
BP_Filter_Design_Tool
ButterWorth
ButterWorthsp
Clock_transfer_functions
Clocksim
Continuous_Digital_Noise
Covariance_Matrix_c2d
Digital_Filter
Digital_Filter1
Discrete_Digital_Noise
Discrete_Digital_Noise1
Discrete_Digital_Noise2
Discrete_Digital_Noise3
FFT_reconstruction
Fib_State_Space1
Fib_State_Space2
Fib_determinant
Fibonacci
Fibonacci2
Fibonacci_determinant_ML71
FirstStateflowModel
Foucault_Pendulum
Foucault_Pendulum_Tight_Toler...
FourRoomHouse
Generic_Control_System
LM_Control_System
LMdap3dof
LMdap_Library_NCS
Leaningtower
Leaningtower2
Leaningtower3
Lorenz1
Lorenz_2
Lorenz_testing
Lyap_uisng_Simulink
Monte_Carlo_CentralLimit
Moving_Avg_FIR
Moving_Avg_FIRsp
NL_Res_Circuit
Nonlinear_Resistor
Oneonf
Oneonf_discrete
PD_Control
PID_Control
PID_Control_Vel_Estimates
Phase_Lock_Loop
Quaternion2DCM
Quaternion2Euler
Quaternion_acceleration
Quaternion_block
Random_Walk
Rate_Reconstruction
Rayleigh_Sim
Reaction_Wheel
Reaction_Wheel2
Sampling_Theorem
SecondStateflowModel
SimMechanics_Clock
SimMechanics_Pendulum
SimMechanics_Vibration
Simple_Circuit
Simplemodel
Spacecraft_Attitude_Control
SpringMass_Control
SpringMass_Control2
SpringMass_Control_Sensor_Dyn...
SpringMass_Vel_Control
SpringMass_Vel_Control2
Spring_Mass1
Spring_Mass2
Spring_Mass_Control
State_Space
Stateflow_Heating_Controller
Thermo_NCS
Thermo_real_data
Train_Simulation
TwoRoomHeatingSystem
TwoRoomHeatingSystem24
White_Noise
dig_sig_playback
digital_sig_generator
precision_testsp
precision_testsp1
precision_testsp2
test0
test1
test2
test3
thermo_polynomial
thermo_table
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from Numerical Computing with Simulink, Vol. 1 by Richard Gran
This sequel to Numerical Computing with MATLAB explores the mathematics of simulation.

LMswitchtime.m

syms Ton t alph th thdot th0 thd0

thdot = solve('th = thdot^2/(2*alph)',thdot) 
thdot = thdot(2)  % Select positive square root
intsect = subs('th = th0 +(-thdot^2+thd0^2)/(2*alph)',thdot)
thdot = solve(intsect,'thdot')
Ton = (thdot-thd0)/alph
pretty(Ton)

Highlights from Numerical Computing with Simulink, Vol. 1

Highlights from
Numerical Computing with Simulink, Vol. 1