CL7103 SYSTEM THEORY M.E SYLLABUS - REG 2013

CL7103 SYSTEM THEORY syllabus for first semester Power Electronics and Drives Department students

• Subject Credit : 3
• Regulation : 2013
• Department : POWER ELECTRONICS AND DRIVES
• Subject Name : SYSTEM THEORY - ST
• Subject Code : CL7103

OBJECTIVES:

• To educate on modeling and representing systems in state variable form
• To educate on solving linear and non-linear state equations
• To illustrate the role of controllability and observability
• To educate on stability analysis of systems usig Lyapunov’s theory
• To educate on modal concepts and design of state and output feedback controllers and estimators

UNIT I STATE VARIABLE REPRESENTATION

Introduction-Concept of State-State equation for Dynamic Systems -Time invariance and linearity- Non uniqueness of state model-State Diagrams - Physical System and State Assignment.

UNIT II SOLUTION OF STATE EQUATIONS

Existence and uniqueness of solutions to Continuous-time state equations-Solution of Nonlinear and Linear Time Varying State equations-Evaluation of matrix exponential-System modes- Role of Eigenvalues and Eigenvectors.

UNIT III CONTROLLABILITY AND OBSERVABILITY

Controllability and Observability-Stabilizability and Detectability-Test for Continuous time Systems- Time varying and Time invariant case-Output Controllability-Reducibility-System Realizations.

UNIT IV STABILTY

Introduction-Equilibrium Points-Stability in the sense of Lyapunov-BIBO Stability-Stability of LTI Systems-Equilibrium Stability of Nonlinear Continuous Time Autonomous Systems-The Direct Method of Lyapunov and the Linear Continuous-Time Autonomous Systems-Finding Lyapunov Functions for Nonlinear Continuous Time Autonomous Systems-Krasovskii and Variable- Gradiant Method.

UNIT V MODAL CONTROL

Introduction-Controllable and Observable Companion Forms-SISO and MIMO Systems-The

Effect of State Feedback on Controllability and Observability-Pole Placement by State Feedback for both SISO and MIMO Systems-Full Order and Reduced Order Observers.

TOTAL : 45 PERIODS

REFERENCES:

1. M. Gopal, “Modern Control System Theory”, New Age International, 2005.

2. K. Ogatta, “Modern Control Engineering”, PHI, 2002.

3. John S. Bay, “Fundamentals of Linear State Space Systems”, McGraw-Hill, 1999.

4. D. Roy Choudhury, “Modern Control Systems”, New Age International, 2005.

5. John J. D’Azzo, C. H. Houpis and S. N. Sheldon, “Linear Control System Analysis and Design with MATLAB”, Taylor Francis, 2003.

6. Z. Bubnicki, ”Modern Control Theory”, Springer, 2005.