Unit 1 Introduction to Modern Control Systems – Need and requirements of Modern Control

10 lecture hours

• Various Modern Control Systems Techniques
• Performance Measure for Control Systems
• Time & Frequency Domain Compensator Design
• Outline of various compensation techniques: Phase-Lead
• P/PI/PD/PID controllers

Unit 2 State Space Analysis – Limitations of conventional control theory, Introduction to State-

10 lecture hours

• State Variables, and State Vectors
• State variable representation including Electrical
• Electro-mechanical system
• Conversion of state variable Models to Transfer function via direct
• parallel decomposition
• Solution of Homogeneous and Non- Homogeneous State equations in time-domain and frequency-domain
• State-Transition Matrix
• Concepts of Controllability and Observability

Unit 3 Nonlinear Control System Analysis – Introduction to Nonlinear systems, Standard

8 lecture hours

• nonlinearities in control systems
• Describing function analysis of nonlinear control systems
• stability of sustained oscillations or limit cycle
• Concepts of phase plane analysis
• phase plane portraits
• Phase Plane analysis of linear and nonlinear control system
• Lyapunov stability theorems
• Lyapunov functions for nonlinear systems

Unit 4 Digital/Discrete Time Control Systems Analysis – Introduction to discrete time systems,

9 lecture hours

• Analog and Digital controllers
• Derivation of z-transform of standard functions
• Difference equation and its solution by the z-transform method
• initial and final value theorem
• Inverse z-transform using infinite series and partial fraction methods
• pulse transfer function
• pulse transfer function of closed-loop system using signal flow graph technique
• Stability analysis in z-plane

Unit 5 Intelligent Control Systems – Adaptive Control System, Model reference Adaptive

• Fuzzy Control System
• Neural Control System
• Reinforcement Learning Control
• Embedded Control System. 5 Subject Code: 3172007 w.e.f