Basic ModelingMethods
Basic Modeling Methods
References: Automatic Control Systems, 8th Edition, B.C.KuoF. Golnaraghi, John Wiley & Sons, 2002Matlab/Simulink
References • Automatic Control Systems, 8 th Edition, B.C. Kuo, F. Golnaraghi, John Wiley & Sons, 2002 • Matlab/Simulink
What are mathematics models forphysical systems?They are empirical representations of a physical system'sinput/output relationships and internal behavior by usingmathematics expressions.Themodels can be in differentforms:FunctionsDifferential equationsState space modelsTransfer functionsBlock diagramSimulation modulesThe models can be obtained by different methodsDerivations based on basic principles Experimental data and model fitting Real-time updatinglearning
What are mathematics models for physical systems? • They are empirical representations of a physical system’s input/output relationships and internal behavior by using mathematics expressions. • The models can be in different forms: • Functions • Differential equations • State space models • Transfer functions • Block diagram • Simulation modules • The models can be obtained by different methods: • Derivations based on basic principles • Experimental data and model fitting • Real-time updating • learning
Why do we need mathematics models?:They are cost effective in studying the main features ofphysical, environment, social systemsExamples: Battery SOC estimation, vehicle fuel economy andemission, power system security and reliability, ...They can be used to predict the future behavior of thephysical, environmental, and social systemExamples: Covid infection prediction, trafficpatterns, ... They can be used to evaluate different controls, designs andimpact of decisions.Examples: battery management systems, control systems formotors, autonomous vehicles, ... They can be used to coordinate component designs fromdifferent teams and companies.Examples: autonomous vehicles, battery managementsystems,
Why do we need mathematics models? • They are cost effective in studying the main features of physical, environment, social systems. Examples: Battery SOC estimation, vehicle fuel economy and emission, power system security and reliability, . • They can be used to predict the future behavior of the physical, environmental, and social system. Examples: Covid infection prediction, traffic patterns,. • They can be used to evaluate different controls, designs and impact of decisions. Examples: battery management systems, control systems for motors, autonomous vehicles, . • They can be used to coordinate component designs from different teams and companies. Examples: autonomous vehicles, battery management systems,
Derivation ofDifferential Equation Models
Derivation of Differential Equation Models