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Progression of Course Material

Time Line

The class will be modified slightly from the last time it was taught. We will mostly follow what is below, but some additional topics may be added. Additionally, there is a non-lecture reading track that will have associated homeworks. The reading track should be read prior to the week listed / by the commencement of the week listed. Additional notes to complement the reading may be added.

Key: H - Hovakimyan, IS - Ioannou and Sun, L - Lecture Notes


	Math	Control	Reading	References
Week 01	Syllabus Intro	Adaptive Structure Simple Example		H:Intro
Week 01	Syllabus Intro	Adaptive Structure Simple Example		L:00

Week 02	Norms Boundedness	Scalar DMRAC	Continuity, Lipschitz Continuity, Differentiability, etc.	H:1.1,4.3,5,7.1
Week 02	Norms Boundedness	Scalar DMRAC	Continuity, Lipschitz Continuity, Differentiability, etc.	L:01,07

Week 03	Boundedness (ctd) Trapping Region	Barbalat's Lemma Lyapunov Methods	Existence of Solutions	H:1.2, H:2.1
Week 03	Boundedness (ctd) Trapping Region	Barbalat's Lemma Lyapunov Methods	Existence of Solutions	L:02,03,06p12-14

Week 04	Boundedness (ctd) Comparison Lemma Properties of Solutions	Lyapunov Methods (ctd)	Nonlinear Stability	H:2.2
				L:04


Week 05	Lyapunov Method Examples Invariant Sets	SISO DMRAC		H:2.3
Week 05	Lyapunov Method Examples Invariant Sets	SISO DMRAC		L:05, 08

Week 06	LaSalle and Invariant Set Theorems	MIMO DMRAC		H:3,10.1
Week 06	LaSalle and Invariant Set Theorems	MIMO DMRAC		L:08

Week 07	Convergence of DMRAC Persistency of Excitation	Augmentation with DMRAC	Augmentation of a Nominal PI Controller	H:8, 10.2, 10.3
Week 07	Convergence of DMRAC Persistency of Excitation	Augmentation with DMRAC	Augmentation of a Nominal PI Controller	L:09

Week 08	Perturbations and DMRAC Paramtere Drift	DMRAC Modifications $\sigma$- and e-Mod		H:11
Week 08	Perturbations and DMRAC Paramtere Drift	DMRAC Modifications $\sigma$- and e-Mod		L:09

Week 09	Projection Operator	Projection Operator		H12, L:10

Week 10	Time-Varying Lyapunov Theory	Disturbance Rejection	Composite Adaptation	H:4, L:06,10

Week 11		Disturbance Rejection		H:14, L:10

Week 12		Input constraints		H:9, L:11

Week 13		Input Constraints

Week 14	RBF Networks Approximation Theory	Neuro-Adaptive Control		L:13
Week 14	RBF Networks Approximation Theory	Neuro-Adaptive Control		L:13

Week 15	Backstepping	Adaptive Backstepping		L:12

Week 16	Concurrent Learning (CL)	CL-DMRAC		L:XX

Week TBD	Adaptive Output Feedback Control			H:16, L:XX
Week TBD	$L_1$-Adaptive Control			H:17, L:XX

Homeworks

The homework may also include related topics that are minor extensions of material covered. Though not explicitly part of lecture, they should follow directly from what was covered, and are reasonable to complete as a homework assignment.

ECE6554 – Main