Advanced Control Systems
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Follow on Instagram for UpdatesAdvanced Control Systems Syllabus — Unit-wise Content
The official GTU curriculum for Advanced Control Systems (subject code 2172412) as prescribed for PE · Semester 7 divides the course into 7 units, covering 38 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (2172412)Unit 1 Z-transform
- Z-transforms of elementary functions
- Important properties and theorems
- Inverse z-transform
- Z-transform method of solving difference equations. 04 5-10
Unit 2 Z-Plane Analysis Of Discrete-Time Control Systems
- Impulse sampling and data hold
- Pulse transfer function
- Realization of digital controllers and digital filters
- Mapping between s-plane and z-plane
- Stability analysis of closed loop systems in z-plane
- Transient and steady state analyses. 07 15-20
Unit 3 State Variable Analysis
- Concepts of State
- State Variable and State Model
- Various State Models for Linear-Continuous Time systems
- State Variables and Discrete-Time Systems
- Eigen values and Eigen vectors
- Solution of State Equation
- State transition matrix
- Principle of Duality. 09 20-30
Unit 4 State Variable Design
- Design of Servo Systems
- State Observers
- Design of Regulator System with Observers
- Design of Control System with Observers. 07 15-25
Unit 5 Non-Linear Systems 08 15-25
- Common Physical Nonlinearities
- The Phase Plane Method
- Singular Points
- Stability Of Nonlinear System
- Construction of Phase Trajectories
- Describing Function Method
- Derivation of Describing Function
- Stability Analysis by Describing Function
Unit 6 Lyapunov’s Stability Analysis
- Lyapunov’s Stability Criteria
- The direct method of Lyapunov
- Methods of constructing Lyapunov Function for Non-linear Systems. 06 15-20
Unit 7 Optimal Control
- Optimal Control versus Conventional Control
- Types of Optimal Control Problem
- Basic Concepts of Calculus of Variation
- Finding Minima of function
- Linear Quadratic Regulator(LQR) Problem. 07 15-20