Page 1 DigitalControl Systems INTRODUCTION Page 2 DigitalControl Systems INTRODUCTION Introduction What is a control system? Objective: To make the system OUTPUT and the desired REFERENCE as close as possible, i.e., to make the ERROR as small as possible. Key Issues: 1) How to describe the system to be controlled? (Modeling) 2) How to design the controller? (Control) Page 3 DigitalControl Systems INTRODUCTION Introduction What is a control system? Objective: To make the system OUTPUT and the desired REFERENCE as close as possible, i.e., to make the ERROR as small as possible. Key Issues: 1) How to describe the system to be controlled? (Modeling) 2) How to design the controller? (Control) Introduction What is important in a control system? Stability (Transient) response speed Accuracy Ødynamic overshooting and oscillation duration ØSteady state error Robustness Øerrors in models (uncertainties and nonlinearities) Øeffects of disturbances Øeffects of noises Page 4 DigitalControl Systems INTRODUCTION Introduction What is a control system? Objective: To make the system OUTPUT and the desired REFERENCE as close as possible, i.e., to make the ERROR as small as possible. Key Issues: 1) How to describe the system to be controlled? (Modeling) 2) How to design the controller? (Control) Introduction What is important in a control system? Stability (Transient) response speed Accuracy Ødynamic overshooting and oscillation duration ØSteady state error Robustness Øerrors in models (uncertainties and nonlinearities) Øeffects of disturbances Øeffects of noises Introduction Modeling of dynamic systems Model: A representation of a system. Types of Models: Physical models (prototypes) Mathematical models (e.g., input-output relationships) Analytical models (using physical laws) Computer (numerical) models Experimental models (using input/output experimental data) Models for physical dynamic systems: Lumped-parameter models Continuous-parameter models. Example: Spring element (flexibility, inertia, damping) Page 5 DigitalControl Systems INTRODUCTION Introduction What is a control system? Objective: To make the system OUTPUT and the desired REFERENCE as close as possible, i.e., to make the ERROR as small as possible. Key Issues: 1) How to describe the system to be controlled? (Modeling) 2) How to design the controller? (Control) Introduction What is important in a control system? Stability (Transient) response speed Accuracy Ødynamic overshooting and oscillation duration ØSteady state error Robustness Øerrors in models (uncertainties and nonlinearities) Øeffects of disturbances Øeffects of noises Introduction Modeling of dynamic systems Model: A representation of a system. Types of Models: Physical models (prototypes) Mathematical models (e.g., input-output relationships) Analytical models (using physical laws) Computer (numerical) models Experimental models (using input/output experimental data) Models for physical dynamic systems: Lumped-parameter models Continuous-parameter models. Example: Spring element (flexibility, inertia, damping) Introduction Signal categories for identifying control system types Continuous-time signal & quantized signal Continuous-time signal is defined continuously in the time domain. Figure on the left shows a continuous-time signal, represented by x(t). Quantized signal is a signal whose amplitudes are discrete and limited. Figure on the right shows a quantized signal. Analog signal or continuous signal is continuous in time and in amplitude. The real word consists of analog signals.Read More

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