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Chapter 1(a) — What Is Adaptive Control? An Introduction and Linear Feedback
Chapter 1(b) — Effects of Process Variations and Adaptive Schemes
Chapter 1(c) — The Adaptive Control Problem, Applications, and Conclusions
Chapter 2(a) — Real-Time Parameter Estimation: Least Squares and Regression Models
Chapter 2(b) — Estimating Parameters in Dynamical Systems and Experimental Conditions
Chapter 2(c) — Simulation of Recursive Estimation, Prior Information, and Conclusions
Chapter 3(a) — Deterministic Self-tuning Regulators: Pole Placement Design
Chapter 3(b) — Indirect Self-tuning Regulators and Continuous-Time Self-tuners
Chapter 3(c) — Direct Self-tuning Regulators and Disturbances with Known Characteristics
Chapter 4(a) — Stochastic Self-tuning Regulators: Minimum-Variance and Moving-Average Controllers
Chapter 4(b) — Stochastic Self-tuning Regulators and the Unification of Direct Self-tuning Regulators
Chapter 4(c) — Linear Quadratic STR, Adaptive Predictive Control, and Conclusions
Chapter 5(a) — Model-Reference Adaptive Systems: The MIT Rule and the Adaptation Gain
Chapter 5(b) — Lyapunov Theory and Designing MRAS Using Lyapunov Theory
Chapter 5(c) — Bounded-Input, Bounded-Output Stability
Chapter 5(d) — Applications of Adaptive Control and Output Feedback
Chapter 5(e) — Relations between MRAS and STR, Nonlinear Systems, and Conclusions
Chapter 6(a) — Properties of Adaptive Systems: Nonlinear Dynamics and Feedforward Gain Adaptation
Chapter 6(b) — Analysis of Indirect Discrete-Time Self-tuners
Chapter 6(c) — Stability of Direct Discrete-Time Algorithms and Averaging
Chapter 6(d) — Application of Averaging Techniques
Chapter 6(e) — Averaging in Stochastic Systems and Robust Adaptive Controllers
Chapter 6(f) — Conclusions
Chapter 7(a) — Stochastic Adaptive Control: Multistep Decision Problems and the Adaptive Problem
Chapter 7(b) — Dual Control, Suboptimal Strategies, and Examples
Chapter 8(a) — Auto-tuning: PID Control and Transient Response Methods
Chapter 8(b) — Relay Feedback, Relay Oscillations, and Conclusions
Chapter 9(a) — Gain Scheduling: The Principle and Designing Gain-Scheduling Controllers
Chapter 9(b) — Nonlinear Transformations and Applications of Gain Scheduling
Chapter 9(c) — Conclusions
Chapter 10(a) — Robust and Self-oscillating Systems: Why Not Adaptive Control?
Chapter 10(b) — Self-oscillating Adaptive Systems and Variable-Structure Systems
Chapter 10(c) — Conclusions
Chapter 11(a) — Practical Issues and Implementation: Controller Implementation
Chapter 11(b) — Controller Design and Solving the Diophantine Equation
Chapter 11(c) — Estimator Implementation
Chapter 11(d) — Square Root Algorithms, Interaction of Estimation and Control, Prototype Algorithms
Chapter 11(e) — Operational Issues and Conclusions
Chapter 12(a) — Commercial Products and Applications: Status and Industrial Controllers
Chapter 12(b) — Some Industrial Adaptive Controllers
Chapter 12(c) — Process Control and Automobile Control
Chapter 12(d) — Ship Steering, Ultrafiltration, and Conclusions
Chapter 13(a) — Perspectives on Adaptive Control: Adaptive Signal Processing and Extremum Control
Chapter 13(b) — Expert Control Systems, Learning Systems, and Future Trends

Chapter 1 — Vector Spaces
Chapter 2(a) — Span and Linear Independence
Chapter 2(b) — Dimension
Chapter 3(a) — The Vector Space of Linear Maps
Chapter 3(b) — Matrices of Linear Maps
Chapter 3(c) — Invertibility and Isomorphisms
Chapter 3(d) — Products, Quotients, and Duality
Chapter 4 — Polynomials
Chapter 5(a) — Invariant Subspaces and the Minimal Polynomial
Chapter 5(b) — Upper-Triangular Matrices
Chapter 5(c) — Diagonalizable and Commuting Operators
Chapter 6(a) — Inner Products and Norms
Chapter 6(b) — Orthonormal Bases and Gram–Schmidt
Chapter 6(c) — Orthogonal Complements and Minimization
Chapter 7(a) — Self-Adjoint and Normal Operators
Chapter 7(b) — The Spectral Theorem and Positive Operators
Chapter 7(c) — Unitary and Orthogonal Factorizations
Chapter 7(d) — Singular Value Decomposition
Chapter 7(e) — Operator Norm, Best Approximation, and Polar Decomposition
Chapter 8(a) — Generalized Eigenvectors and Nilpotent Operators
Chapter 8(b) — Jordan Form and Trace
Chapter 9(a) — Bilinear and Quadratic Forms
Chapter 9(b) — Alternating Multilinear Forms
Chapter 9(c) — Determinants
Chapter 9(d) — Tensor Products

1. Scope, reference publications, and definitions (with 2, 3)
4. Pressure regulators, pilot supply, and manual shut-off valves (with 5, 6)
7. Pilot safety shut-off valves
8. Main safety shut-off valves, input flow control systems, and main burners
10. Applications
11. Ignition systems, electrical requirements, and rating plate (with 13, 14)
12. Safety controls

General Introduction for CSA C22.1:24
0. Object, scope, and definitions
2. General Rules
4. Conductors
6. Services and service equipment
8. Circuit loading and demand factors
10. Grounding and bonding
12. Wiring methods — cable (12-404 to 12-712)
12. Wiring methods — cable tray, boxes and cabinets (12-2208 to 12-3036)
12. Wiring methods — general, open and exterior wiring (12-000 to 12-402)
12. Wiring methods — non-metallic raceway and cable tray (12-1300 to 12-2206)
12. Wiring methods — raceways (12-714 to 12-1268)
14. Protection and control
16. Class 1 and Class 2 circuits
18. Hazardous locations — classification and wiring (18-000 to 18-076)
18. Hazardous locations — equipment and installation (18-078 to 18-256)
26. Installation of electrical equipment — general through transformers (26-000 to 26-410)
26. Installation of electrical equipment — panelboards to appliances (26-420 to 26-1000)
28. Motors and generators — control, disconnecting means, specific types (28-400 to 28-914)
28. Motors and generators — wiring and protection (28-000 to 28-318)
30. Installation of lighting equipment — circuits through luminaires (30-000 to 30-804)
30. Installation of lighting equipment — outdoor, pole-line and ELV (30-806 to 30-1208)

Chapter 1 — Dynamic Elements in the Control Loop (part a)
Chapter 1 — Dynamic Elements in the Control Loop (The Easy Element - Capacity)
Chapter 2 — Characteristics of Real Processes (part a)
Chapter 2 — Characteristics of Real Processes (Steady-State Gain)
Chapter 3 — Analysis of Some Common Loops (part a)
Chapter 3 — Analysis of Some Common Loops (Liquid Level and Hydraulic Resonance)
Chapter 4 — Linear Controllers (part a)
Chapter 4 — Linear Controllers (PI and PID Controllers)
Chapter 4 — Linear Controllers (Interrupting the Control Loop)
Chapter 5 — Nonlinear Control Elements (part a)
Chapter 5 — Nonlinear Control Elements (The Dual-Mode Concept)
Chapter 6 — Improved Control through Multiple Loops (part a)
Chapter 6 — Improved Control through Multiple Loops (Selective Control Loops)
Chapter 7 — Feedforward Control (part a)
Chapter 7 — Feedforward Control (part b)
Chapter 8 — Interaction and Decoupling (part a)
Chapter 8 — Interaction and Decoupling (Response to Disturbances)
Chapter 9 — Energy Transfer and Conversion (part a)
Chapter 9 — Energy Transfer and Conversion (Steam-Plant Control Systems)
Chapter 10 — Controlling Chemical Reactions (part a)
Chapter 10 — Controlling Chemical Reactions (pH Control)
Chapter 11 — Mass-Transfer Operations (part a)
Chapter 11 — Mass-Transfer Operations (Controlling at Constraints)
Chapter 12 — Batch Process Control (part a)
Chapter 12 — Batch Process Control (Batch Reactors)

Chapter 1 — Introduction
Chapter 2 — Classical feedback control (2.1-2.3)
Chapter 2 — Classical feedback control (2.4-2.5)
Chapter 2 — Classical feedback control (2.6)
Chapter 2 — Classical feedback control (2.7-2.9)
Chapter 3 — Introduction to multivariable control (3.1-3.3)
Chapter 3 — Introduction to multivariable control (3.4-3.6)
Chapter 3 — Introduction to multivariable control (3.7-3.10)
Chapter 4 — Elements of linear system theory (4.2-4.4)
Chapter 4 — Elements of linear system theory (4.5-4.8)
Chapter 4 — Elements of linear system theory (4.9-4.10)
Chapter 5 — Limitations in SISO systems (5.1-5.4)
Chapter 5 — Limitations in SISO systems (5.5-5.10)
Chapter 5 — Limitations in SISO systems (5.11-5.16)
Chapter 6 — Limitations in MIMO systems (6.1-6.8)
Chapter 6 — Limitations in MIMO systems (6.9-6.11)
Chapter 7 — SISO uncertainty and robustness (7.1-7.4)
Chapter 7 — SISO uncertainty and robustness (7.5-7.7)
Chapter 8 — MIMO robust stability and performance (8.1-8.7)
Chapter 8 — MIMO robust stability and performance (8.8-8.10)
Chapter 8 — MIMO robust stability and performance (8.11-8.14)
Chapter 9 — Controller design (9.1-9.2)
Chapter 9 — Controller design (9.3)
Chapter 9 — Controller design (9.4-9.5)
Chapter 10 — Control structure design (10.1-10.2)
Chapter 10 — Control structure design (10.3)
Chapter 10 — Control structure design (10.4)
Chapter 10 — Control structure design (10.5-10.6)
Chapter 10 — Control structure design (10.6)
Chapter 11 — Model reduction
Chapter 12 — Linear matrix inequalities
Chapter 13 — Case studies (13.1-13.2)
Chapter 13 — Case studies (13.3-13.4)

Chapter 1 — Introduction: Framework, Modeling, and Objectives
Chapter 2 (a) — Scalars, Vectors, Matrices, and Constrained Minima
Chapter 2 (b) — Matrix Properties and Operations
Chapter 2 (c) — Dynamic System Models and Solutions
Chapter 2 (d) — Random Variables, Sequences, and Processes
Chapter 2 (e) — Correlation, Covariance, and Spectral Analysis
Chapter 2 (f) — Properties of Dynamic Systems: Sensitivity and Transition Behavior
Chapter 2 (g) — Controllability, Observability, Stabilizability, Detectability
Chapter 2 (h) — Frequency-Domain Modeling and Analysis
Chapter 3 (a) — Optimal Trajectories: Problem Statement, Costs, and Parametric Optimization
Chapter 3 (b) — Conditions for Optimality: Euler-Lagrange, Hamiltonian, Costate
Chapter 3 (c) — Constraints: Terminal and Equality
Chapter 3 (d) — Inequality Constraints and Singular Control
Chapter 3 (e) — Numerical Optimization of Trajectories
Chapter 3 (f) — Neighboring-Optimal Solutions
Chapter 3 (g) — Worked Problems on Optimal Trajectories
Chapter 4 (a) — Least-Squares Estimates of Constant Vectors
Chapter 4 (b) — Propagation of the State Estimate and Its Uncertainty
Chapter 4 (c) — Discrete-Time Optimal Filters and Predictors
Chapter 4 (d) — Continuous-Time Filters and Nonlinear Estimation
Chapter 4 (e) — Adaptive Filtering
Chapter 5 (a) — Stochastic Systems: Perfect and Imperfect Measurements
Chapter 5 (b) — Certainty Equivalence and LQG Setup
Chapter 5 (c) — LQ Gaussian Regulators: Examples and Problems
Chapter 6 (a) — Solving the Algebraic Riccati Equation; Response to Commands
Chapter 6 (b) — Cost Functions and Controller Structures
Chapter 6 (c) — Modal Properties of Optimal Control Systems
Chapter 6 (d) — Robustness of LQ Regulators: Single-Input Margins
Chapter 6 (e) — Multivariable LQ Margins and the Discrete-Time Case
Chapter 6 (f) — Robustness of Stochastic-Optimal Regulators
Chapter 6 (g) — Footnote on Adaptive Control and Epilogue

Linear Algebra Done Right

Interactive classroom course. Pick a section from the sidebar, or open one below.

25 sections

Chapter 1 — Vector Spaces
Chapter 2(a) — Span and Linear Independence
Chapter 2(b) — Dimension
Chapter 3(a) — The Vector Space of Linear Maps
Chapter 3(b) — Matrices of Linear Maps
Chapter 3(c) — Invertibility and Isomorphisms
Chapter 3(d) — Products, Quotients, and Duality
Chapter 4 — Polynomials
Chapter 5(a) — Invariant Subspaces and the Minimal Polynomial
Chapter 5(b) — Upper-Triangular Matrices
Chapter 5(c) — Diagonalizable and Commuting Operators
Chapter 6(a) — Inner Products and Norms
Chapter 6(b) — Orthonormal Bases and Gram–Schmidt
Chapter 6(c) — Orthogonal Complements and Minimization
Chapter 7(a) — Self-Adjoint and Normal Operators
Chapter 7(b) — The Spectral Theorem and Positive Operators
Chapter 7(c) — Unitary and Orthogonal Factorizations
Chapter 7(d) — Singular Value Decomposition
Chapter 7(e) — Operator Norm, Best Approximation, and Polar Decomposition
Chapter 8(a) — Generalized Eigenvectors and Nilpotent Operators
Chapter 8(b) — Jordan Form and Trace
Chapter 9(a) — Bilinear and Quadratic Forms
Chapter 9(b) — Alternating Multilinear Forms
Chapter 9(c) — Determinants
Chapter 9(d) — Tensor Products