Description:
Existence, uniqueness and continuity of solutions. Phase portraits. Limit cycles. Linearization. Stability of equilibria and periodic orbits. Lyapunov stability. Describing functions. Perturbation. Averaging. Singular perturbation. Control applications.
Description:
Existence, uniqueness and continuity of solutions. Phase portraits. Limit cycles. Linearization. Stability of equilibria and periodic orbits. Lyapunov stability. Describing functions. Perturbation. Averaging. Singular perturbation. Control applications.
Semester:
Spring of every year
Credits:
Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
Recommended Background:
ECE 826 and ME 857
Description:
Second-order systems. Fundamental properties of solutions. Lyapunov stability. Input-output stability. Passivity. Absolute stability. Linearization. Integral control. Feedback linearization. Sliding mode control. Lyapunov redesign. Passivity-based control. Recursive methods. Applications to electrical and mechanical systems.
Semester:
Spring of every year
Credits:
Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
Recommended Background:
ECE 826 and ME 857
Description:
Second-order systems and fundamental properties of solutions. Lyapunov stability, input-output stability, passivity, absolute stability, and linearization. Design of feedback controllers using integral control, feedback linearization, sliding mode control, Lyapunov redesign, passivity-based control, and recursive methods. Applications to electrical and mechanical systems.
Semester:
Spring of every year
Credits:
Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
Recommended Background:
ECE 851
Restrictions:
Open to students in the College of Engineering.
Description:
Second-order systems and fundamental properties of solutions. Lyapunov stability, input-output stability, passivity, absolute stability, and linearization. Design of feedback controllers using integral control, feedback linearization, sliding mode control, Lyapunov redesign, passivity-based control, and recursive methods. Applications to electrical and mechanical systems.