Lecture Notes on Digital Control
(University of Arizona)

• Lecture Note #1, Types of sampled-data systems, reasons for sampling, types of signals and systems (Wednesday, January 14, 2004)
• Lecture Note #2, D/A converters, A/D converters, quantization error, sample-and-hold circuit, digital signals (Friday, January 16, 2004)
• Lecture Note #3, Analysis of sampled data using Fourier and Laplace transforms, Shannon sampling theorem (Wednesday, January 21, 2004)
• Lecture Note #4, Sampling of arbitrary signals, Sampling and partial fraction expansion, z-transform, physical interpretation of z-operator, computational rules of z-transform I (Friday, January 23, 2004)
• Lecture Note #5, Computational rules of z-transform II, discrete transfer function, transformation between system and signal representations I (Monday, January 26, 2004)
• Lecture Note #6, Transformation between system and signal representations II, difference equations, modified partial fraction expansion, state-space descriptions, similarity transformations (Wednesday, January 28, 2004)
• Lecture Note #7, State-space conversions from continuous to sampled-data representation with or without zero-order hold (Friday, January 30, 2004)
• Lecture Note #8a, Conversion of a state-space representation to controller-canonical form (Monday, February 2, 2004)
• Lecture Note #8b, Matlab example of onversion of a state-space representation to controller-canonical form, Matlab example of a conversion from continuous to discrete using the controls toolbox (Monday, February 2, 2004)
• Lecture Note #9, Description of system topologies by z-transform and discrete state-space descriptions (Wednesday, February 4, 2004)
• Lecture Note #10, Description of system topologies by discrete state-space description II (Monday, February 9, 2004)
• Lecture Note #11, Sub-multiple sampling, modified z-transform (Wednesday, February 11, 2004)
• Lecture Note #12, Multirate sampling in frequency and time domains (Friday, February 13, 2004)
• Lecture Note #13, Stability of discrete and sampled-data systems (Wednesday, February 18, 2004)
• Lecture Note #14, Stability tests for discrete and sampled-data systems (Monday, February 23, 2004)
• Lecture Note #15, Root-locus of discrete and sampled-data systems (Wednesday, February 25, 2004)
• Lecture Note #16, Steady-state behavior, influence of disturbances (Friday, February 27, 2004)
• Lecture Note #17, Nyquist diagrams for discrete and sampled-data systems (Monday, March 1, 2004)
• Lecture Note #18, Bode diagrams for discrete and sampled-data systems and the bilinear transformation (Monday, March 8, 2004)
• Lecture Note #19, Digital implementation of analog controllers (Friday, March 12, 2003)
• Lecture Note #20, Digital redesign of linear MIMO systems controlled by state feedback in the time domain (Monday, March 22, 2004)
• Lecture Note #21, Design of dynamic compensators using Bode and Nyquist diagrams (Wednesday, March 31, 2003)
• Lecture Note #22, Controllability and observability, Kalman decomposition, input decoupling of uncontrollable modes, output decoupling of unobservable modes, duality principle (Friday, April 2, 2004)
• Lecture Note #23, Full state feedback by pole placement, full-order Luenberger observer (Monday, April 5, 2004)
• Lecture Note #24, Choosing pole locations (Wednesday, April 7, 2004)
• Lecture Note #25, Design of dynamic compensators of SISO discrete and sampled-data systems in the frequency domain (Friday, April 9, 2004)
• Lecture Note #26, Deadbeat control (Monday, April 12, 2004)
• Lecture Note #27, Optimal control of MIMO discrete and sampled-data systems using linear state feedback (Wednesday, April 14, 2004)
• Lecture Note #28, Optimal control of MIMO discrete and sampled-data systems using linear state feedback and output feedback II (Friday, April 23, 2004)
• Lecture Note #29, Output feedback design of MIMO discrete and sampled-data systems using optimal control: an example (Monday, April 26, 2004)

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