Decode Advanced Control System 403142 Download
Prerequisite:
Control System Engineering, Matrix Algebra, Z-transform, and Laplace transform.
Course Objectives:
This course aims to:
1. Introduce concepts of modern control theory, analysis, and design.
2. Provide an overview of the digital control system and nonlinear control system.
3. Explore advanced control techniques at an introductory level.
Course Outcomes:
At the end of this course, students will be able to:
CO1: Explain compensation networks, common nonlinearities, the concept of state, sampling and
reconstruction, and concepts of advanced controls (Understanding)
CO2: Determine transfer function from state model (Applying)
CO3: Test controllability and observability properties of the system (Evaluating)
CO4: Design compensators, state feedback controls, and observers for the system (Creating)
Unit 01 Compensator Design in Frequency Domain 06 hrs
approach to control system design, cascade compensation networks, phase-lead and phase-lag compensator
designs using bode plot, physical realization of compensators.
Unit 02 Nonlinear Control Systems 07 hrs
introduction to nonlinear systems, common nonlinearities, describing function method, describing function
of an ideal relay, stability analysis with describing function, introduction to Lyapunov stability analysis
(basic concepts, definitions, and stability theorem)
Unit 03 Introduction to State-Space 08 hrs
Concept of state, state-space representation of dynamical systems in physical variable form, phase variable
forms and Jordon / diagonal canonical form, conversion of the transfer function to state-space model and
vice versa, state equation and its solution, state transition matrix and its properties, computation of state
transition matrix by Laplace transform and Caley Hamilton method.
Unit 04 State-Space Design 08 hrs
BE Electrical (2019 Course) 8
The concept of controllability and observability, Kalman’s and Gilbert’s tests for controllability and
observability, effect of pole-zero cancellation, duality property, control system design using pole-placement
using transformation matrix, direct substitution, and Ackermann’s formula, State observers, design of a fullorder observer.
Unit 05 Introduction to Digital Control System 08 hrs
Basic block diagram of the digital control system, sampling and reconstruction, Shannon’s Sampling
theorem, zero-order hold and its transfer function, First-order hold (no derivation), characteristics equation,
mapping between s-plane and z-plane, stability analysis in z-plane.
Unit 06 Advanced control system topics 08 hrs
Concept of sliding mode control, equivalent control, chattering, sliding mode control based on reaching law,
Introduction to adaptive control, adaptive schemes, and control problems Optimal control-linear quadratic
regulator problem.
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