In this MATLAB programming example, we solve an optimal control problem using the Pontryagin's Maximum Principle. We use the state equations, cost function, Hamiltonian, and costate equations to obtain the optimal control. The solution is obtained using the "dsolve" function, and the results are visualized using MATLAB plots. This example is taken from the "Crack Optimal Control" book.
Watch the video on YouTube:
https://www.youtube.com/watch?v=eN9qZ-dOskM
telegram:
🆔 @MATLAB_House
@MATLABHOUSE
#OptimalControl #MATLAB #PontryaginMaximumPrinciple #CrackOptimalControl #StateEquations #CostFunction #Hamiltonian #CostateEquations #dsolve #MATLABPlots #ControlTheory #Optimization #DynamicProgramming #NumericalMethods #Engineering #Mathematics #Coding #Programming #ArtificialIntelligence #MachineLearning #SymbolicComputation #Visualization #Simulation #MathModeling #Education #STEM
Watch the video on YouTube:
https://www.youtube.com/watch?v=eN9qZ-dOskM
telegram:
🆔 @MATLAB_House
@MATLABHOUSE
#OptimalControl #MATLAB #PontryaginMaximumPrinciple #CrackOptimalControl #StateEquations #CostFunction #Hamiltonian #CostateEquations #dsolve #MATLABPlots #ControlTheory #Optimization #DynamicProgramming #NumericalMethods #Engineering #Mathematics #Coding #Programming #ArtificialIntelligence #MachineLearning #SymbolicComputation #Visualization #Simulation #MathModeling #Education #STEM
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🔰Linear Control Training Workshop - Session 1
🟢This video covers the first session of a comprehensive linear control training workshop. Linear control theory is fundamental to understanding and designing control systems in various engineering applications.
In this session, you'll learn the basics of linear control, including:
🔹 Introduction to control systems and their components
🔸 Modeling linear systems using transfer functions and state-space representations
🔹Analyzing system stability and performance using tools like root locus and frequency response methods
🔸Basic control design techniques like PID control
Whether you're a student, engineer, or professional in the field of control systems, this video will provide a solid foundation for understanding linear control concepts and techniques.
🔹Telegram:
🆔Channel: @MATLAB_House
🆔Group:@MATLABHOUSE
#LinearControl #ControlSystems #ControlTheory #SystemModeling #SystemStability #ControlDesign #EngineeringEducation
🟢This video covers the first session of a comprehensive linear control training workshop. Linear control theory is fundamental to understanding and designing control systems in various engineering applications.
In this session, you'll learn the basics of linear control, including:
🔹 Introduction to control systems and their components
🔸 Modeling linear systems using transfer functions and state-space representations
🔹Analyzing system stability and performance using tools like root locus and frequency response methods
🔸Basic control design techniques like PID control
Whether you're a student, engineer, or professional in the field of control systems, this video will provide a solid foundation for understanding linear control concepts and techniques.
🔹Telegram:
🆔Channel: @MATLAB_House
🆔Group:@MATLABHOUSE
#LinearControl #ControlSystems #ControlTheory #SystemModeling #SystemStability #ControlDesign #EngineeringEducation
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🔰Linear Control Training Workshop - Session 3
🔵Learn how to analyze the transient response of control systems using MATLAB in this comprehensive tutorial video. We cover step response, impulse response, ramp response, and response to arbitrary inputs. Discover how to obtain key parameters like rise time, peak time, maximum overshoot, and settling time. We also explore generating 3D plots of response curves. Improve your understanding of control system behavior and master transient response analysis with MATLAB.
🔸Telegram:
🆔Channel: @MATLAB_House
🆔Group:@MATLABHOUSE
#MATLAB #ControlSystems #TransientResponse #StepResponse #ImpulseResponse #RampResponse #RiseTime #PeakTime #Overshoot #SettlingTime #3DPlots #EngineeringTutorial #ControlTheory
🔵Learn how to analyze the transient response of control systems using MATLAB in this comprehensive tutorial video. We cover step response, impulse response, ramp response, and response to arbitrary inputs. Discover how to obtain key parameters like rise time, peak time, maximum overshoot, and settling time. We also explore generating 3D plots of response curves. Improve your understanding of control system behavior and master transient response analysis with MATLAB.
🔸Telegram:
🆔Channel: @MATLAB_House
🆔Group:@MATLABHOUSE
#MATLAB #ControlSystems #TransientResponse #StepResponse #ImpulseResponse #RampResponse #RiseTime #PeakTime #Overshoot #SettlingTime #3DPlots #EngineeringTutorial #ControlTheory