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MECH 142/L: Control Systems, Analysis and Design Credits and Contact hours: 4 (Lecture)/1(Lab) units, 3.33 (Lecture)/3(Lab) contact hours per week per ten week quarter Course Coordinator: Christopher Kitts Textbook: Nise, Control System Engineering, 7th edition, Wiley, 2015. Catalog Description: Introduction to system theory, transfer functions, and state space modeling of physical systems. Course topics include stability, analysis and design of PID, Lead/Lag, other forms of controllers in time and frequency domains, root locus, Bode diagrams, gain and phase margins. (4 units) Prerequisites:MECH 141 Course Type: Required, junior level mechanical engineers Course Objectives: This class introduces students to the modeling, analysis and design of linear feedback control systems. Students gain experience in applying a variety of modeling techniques and analyzing system performance from several perspectives to include the time and frequency domains as well as state space formulations. Students learn to synthesize linear controllers capable of satisfying a variety of stability and response criteria by using both classical and modern design techniques. Practical aspects of the class include the use of Matlab/Simulink for simulation and design as well as the use of case studies of real control systems. A companion laboratory course, Mech 142L, provides additional handson experimental exposure to the design, implementation and performance of linear controllers. Course Learning Outcomes: Students who successfully complete Mech 142 will be able to: ● Understand alternate representations of dynamic systems (time domain, frequency domain, state space) (assessed via homework assignment) ● Understand the impact of PID and lead/lag compensation techniques on system performance, stability, and disturbance rejection (assessed via homework assignment) ● Design a linear feedback controller using a Root Locus technique in order to meet explicit performance objectives (assessed via exam) ● Design a linear feedback controller using a State Space pole placement technique in order to meet explicit performance objectives (assessed via exam) ● Use Matlab/Simulink to analyze open and closed loop performance and design linear feedback controllers. (assessed via homework assignment and lab) ● Perform experiments to iteratively tune a control system to meet performance specifications (assessed via lab)
Relationship of course to student outcomes: This course contributes heavily to ABET student outcomes under categories: ● Ability to apply knowledge of math, science, & engineering (A) ● Ability to design a system, component or process to meet desired needs (C) ● Ability to identify, formulate, & solve engineering problems (E) This course contributes moderately to ABET student outcomes under category: ● Ability to use techniques, skills, & modern engineering tools necessary for engineering practice (K). ● Broad education necessary to understand the impact of engineering solutions in a global, economic, environmental and societal context Topics Covered: Topics addressed in this course include: ● Review of dynamic modeling, differential equations, first and second order systems, and Laplace transforms. ● Representation of dynamic systems via equation of motion, transfer functions, state space equations, and expanded block diagrams. ● Introduction to feedback control and PID control strategies. ● Transfer functions, effects of poles/zeros ● Block diagram representation and algebra techniques. ● Stability, Routh’s Test, System Type and steady state error ● Root locus diagram technique and its use for design of PID and lead/lag compensators ● State space representations, controllability/observability, and the pole placement compensation design technique Class/laboratory schedule: Lecture two times per week for one hour and 40 minutes each; there is a companion laboratory course that also meets one time per week for three hours. Contribution of the course to curriculum component: contributes onequarter course to the engineering science component.