Illustrations Course Synopsis Provides a background of control principles in various engineering applications. Basic mathematical tools such as Laplace.

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Presentation transcript:

Illustrations Course Synopsis Provides a background of control principles in various engineering applications. Basic mathematical tools such as Laplace transform, transfer function, block diagram, signal flow graph, mathematical modeling of dynamic systems, time response analysis, stability of linear system, root locus and frequency domain analysis are utilized.

Illustrations Course Outcomes (CO)  CO1  Ability to apply various mathematical principles (from calculus and linear algebra) to solve control system problems.  CO2  Ability to obtain mathematical models for such mechanical, electrical and electromechanical systems.  CO3  Ability to derive equivalent differential equation, transfer function and state space model for a given system.  CO4  The ability to perform system’s time and frequency-domain analysis with response to test inputs. Analysis includes the determination of the system stability.

Illustrations System – An interconnection of elements and devices for a desired purpose. Control System – An interconnection of components forming a system configuration that will provide a desired response. Process – The device, plant, or system under control. The input and output relationship represents the cause-and- effect relationship of the process.

Illustrations The interaction is defined in terms of variables. i.System input ii.System output iii.Environmental disturbances

Illustrations Control System Control is the process of causing a system variable to conform to some desired value. Manual control Automatic control (involving machines only). A control system is an interconnection of components forming a system configuration that will provide a desired system response. Control System Output Signal Input Signal Energy Source

Illustrations Multivariable Control System Open-Loop Control Systems utilize a controller or control actuator to obtain the desired response. Closed-Loop Control Systems utilizes feedback to compare the actual output to the desired output response.

Illustrations Control System Classification Open-Loop Control System Missile Launcher System

Illustrations Control System Classification Closed-Loop Feedback Control System Missile Launcher System

Illustrations Manual Vs Automatic Control Control is a process of causing a system variable such as temperature or position to conform to some desired value or trajectory, called reference value or trajectory. For example, driving a car implies controlling the vehicle to follow the desired path to arrive safely at a planned destination. i.If you are driving the car yourself, you are performing manual control of the car. ii.If you use design a machine, or use a computer to do it, then you have built an automatic control system.

Illustrations Control System Classification Desired Output Response Measurement Output Variables Controller Process Multi Input Multi Output (MIMO) System

Illustrations Purpose of Control Systems i.Power Amplification (Gain) –Positioning of a large radar antenna by low-power rotation of a knob ii.Remote Control –Robotic arm used to pick up radioactive materials iii.Convenience of Input Form –Changing room temperature by thermostat position iv.Compensation for Disturbances –Controlling antenna position in the presence of large wind disturbance torque

Illustrations Historical Developments i.Ancient Greece (1 to 300 BC) –Water float regulation, water clock, automatic oil lamp ii.Cornellis Drebbel (17 th century) –Temperature control iii.James Watt (18 th century) –Flyball governor iv.Late 19 th to mid 20 th century –Modern control theory

Illustrations Watt’s Flyball Governor

Illustrations Human System i.Pancreas  Regulates blood glucose level ii.Adrenaline  Automatically generated to increase the heart rate and oxygen in times of flight iii.Eye  Follow moving object iv.Hand  Pick up an object and place it at a predetermined location v.Temperature  Regulated temperature of 36°C to 37°C

Illustrations History 18th Century James Watt’s centrifugal governor for the speed control of a steam engine. 1920s Minorsky worked on automatic controllers for steering ships. 1930s Nyquist developed a method for analyzing the stability of controlled systems 1940s Frequency response methods made it possible to design linear closed-loop control systems 1950s Root-locus method due to Evans was fully developed 1960s State space methods, optimal control, adaptive control and 1980s Learning controls are begun to investigated and developed. Present and on-going research fields. Recent application of modern control theory includes such non-engineering systems such as biological, biomedical, economic and socio-economic systems ???????????????????????????????????

Illustrations Control System Components i.System, plant or process –To be controlled ii.Actuators –Converts the control signal to a power signal iii.Sensors –Provides measurement of the system output iv.Reference input –Represents the desired output

Illustrations General Control System Sensor Actuator Process Controller + + Set-point or Reference input Actual Output Error Controlled Signal Disturbance Manipulated Variable Feedback Signal

Illustrations Control System Design Process 1. Establish control goals2. Identify the variables to control3. Write the specifications for the variables4. Establish the system configuration and identify the actuator5. Obtain a model of the process, the actuator and the sensor6. Describe a controller and select key parameters to be adjusted7. Optimize the parameters and analyze the performanceIf the performance meet the specifications, then finalize design If the performance does not meet specifications, then iterate the configuration and actuator

Illustrations

(a) Automobile steering control system. (b) The driver uses the difference between the actual and the desired direction of travel to generate a controlled adjustment of the steering wheel. (c) Typical direction- of-travel response. Examples of Modern Control Systems

Illustrations Examples of Modern Control Systems

Illustrations Examples of Modern Control Systems

Illustrations Examples of Modern Control Systems

Illustrations Examples of Modern Control Systems

Illustrations Examples of Modern Control Systems

Illustrations Examples of Modern Control Systems

Illustrations The Future of Control Systems

Illustrations The Future of Control Systems

Illustrations