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ME 531
LINEAR MULTIVARIABLE CONTROL SYSTEMS
Course Description
Theoretical design of control systems for systems modeled by linear multivariable differential equations. Topics covered include controllability, observability, state feedback control, pole placement, output feedback, estimator design, and control designs that include both estimators and regulators
Topics
- State space equations of motion
- Solution of equations of motion in state space form
- Controllability for linear, time invariant systems
- Observability for linear, time invariant systems
- Extraction of controllable and observable subspaces
- Stabilization by state feedback
- Output feedback and tracking
- Design of full and reduced order estimators
- Output feedback with regulators and estimators
Learning Outcomes
The student, upon completion of this course, will be able to:
- Obtain state space equations for linear and linearized nonlinear systems, and convert between state space and transfer function representations.
- Utilize the controllability and observability constructs and conditions to determine if a system is controllable and/or observable.
- Design state feedback and output feedback controllers to stabilize unstable systems and achieve desired transient performance.
- Design state estimators that produce accurate estimates of the states for use in feedback control design.
- Design control systems with combined state estimators and regulators to achieve desired stability and transient performance specifications.
- Use Matlab to design, simulate, and analyze the response of controlled dynamic systems.
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