ME 821, Advanced Control Engineering

Reviewing topics from modern control engineering, characteristics of nonlinear systems. Phase Plane and Describing-Function techniques. Fundamentals of Lyapunov theory and stability analysis; nonlinear feedback control systems using Lyapunov method. Introduction to advanced topics; variable structure system control, adaptive control-system analysis and design, robust adaptive control, optimal control and digital control.

Topical Course Outline:

• Introduction and Control Background Review: Introduction and Familiarization with Course Objectives and Topics, Reviewing Topics from Modern Control, Linear and Nonlinear Control Design Differences, Need for Nonlinear Systems Modeling and Control, and Characteristics of Nonlinear Systems.
• Nonlinear Control-Systems Analysis: Phase Portrait and Phase Plane, Describing-Function (DF) Concept and Analysis, Illustrative examples.
• Nonlinear Control-Systems Design using Describing Function: Nonlinear Control Design using Describing Functions, Stability Analysis and Limit Cycles, Illustrative Problems and examples.
• Nonlinear Control-Systems Design using Lyapunov Method: Fundamental of Lyapunov Theory, Stability Theory, Nonlinear Feedback Control Systems using Lyapunov Theory, Illustrative examples and in-class activities on selected control problems.
• Variable Structure System Control: Robust Control-System Design Concepts, Variable Structure System (VSS) Control, Sliding Mode Control (SMC), Illustrative Problems.
• Adaptive Control-System Analysis and Design: Basic Concepts in Adaptive Control, Adaptive Control of Linear and Nonlinear Systems, Illustrative Problems and Examples.
• Advanced Topics (Introduction to Robust Adaptive Control): Robust Adaptive Control Analysis and Design, Parametric Uncertainty and Unmodeled Dynamics, Example Case Studies.
• Advanced Topics (Introduction to Optimal Control Theory): Characteristics of Optimal Control Problem, Review of Calculus of Variations, Pontryagins Maximum Principle, Case Studies.
• Advanced Topics (Introduction to Digital Control-System): Data Sampling, Z-Transform Theory, Control Design Concepts for Discrete-Time Systems, and Stability Analysis in Z-domain.
• Advanced Topics (Vibration-Control Systems): Introduction to Vibration Control of Lumped- and Distributed-Parameters Systems, and Real-time Control Implementation.

[Sample Project]

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