PS9314 SYSTEM THEORY SYLLABUS | ANNA UNIVERSITY ME POWER MANAGEMENT 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FIRST SEMESTER M.E POWER MANAGEMENT DEPARTMENT SYLLABUS, TEXTBOOKS, REFERENCE BOOKS,EXAM PORTIONS,QUESTION BANK,PREVIOUS YEAR QUESTION PAPERS,MODEL QUESTION PAPERS, CLASS NOTES, IMPORTANT 2 MARKS, 8 MARKS, 16 MARKS TOPICS. IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011 2012-2013 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI,TIRUNELVELI,COIMBATORE), 2009 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009
PS9314 SYSTEM THEORY L T P C
3 1 0 4
UNIT I STATE VARIABLE REPRESENTATION 9
Introduction-Concept of State-State equation for Dynamic Systems-Time invariance and
linearity-No uniqueness of state model-State Diagrams-Physical System and State Assignment
- Solution of State Equation - Existence and uniqueness of solutions to Continuous-time state
equations- Evaluation of matrix exponential-System modes-Role of Eigen values and
Eigenvectors.
UNIT II DISCRETE TIME STATE MODEL 9
Introduction – Discrete Time State Model – Sample and Hold Digital Equivalent – Methods of
Discretization – Sampling Effects – Discrete Time State Model – Conversion from Continuous
Time State Models – Discrete Time State Transition Matrix – Solution Space of State Equation.
UNIT III CONTROLLABILITY AND OBSERVABILITY 9
Introduction - Controllability and Observability- Stabilizability and Detectability-Test for
Continuous time Systems- Time varying and Time invariant case-Output Controllability-
Reducibility-System Realizations.
UNIT IV STABILITY 9
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 9
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.
L: 45 T:15 TOTAL : 60 PERIODS
REFERENCES:
1. Gopal.M, “Modern Control System Theory”, New Age International, 2005.
2. Ogatta.K, “Modern Control Engineering”, PHI, 2002.
3. John S. Bay, “Fundamentals of Linear State Space Systems”, McGraw-Hill, 1999.
4. Roy Choudhury.D, “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. Bubnicki.Z, ”Modern Control Theory”, Springer, 2005.
PS9314 SYSTEM THEORY L T P C
3 1 0 4
UNIT I STATE VARIABLE REPRESENTATION 9
Introduction-Concept of State-State equation for Dynamic Systems-Time invariance and
linearity-No uniqueness of state model-State Diagrams-Physical System and State Assignment
- Solution of State Equation - Existence and uniqueness of solutions to Continuous-time state
equations- Evaluation of matrix exponential-System modes-Role of Eigen values and
Eigenvectors.
UNIT II DISCRETE TIME STATE MODEL 9
Introduction – Discrete Time State Model – Sample and Hold Digital Equivalent – Methods of
Discretization – Sampling Effects – Discrete Time State Model – Conversion from Continuous
Time State Models – Discrete Time State Transition Matrix – Solution Space of State Equation.
UNIT III CONTROLLABILITY AND OBSERVABILITY 9
Introduction - Controllability and Observability- Stabilizability and Detectability-Test for
Continuous time Systems- Time varying and Time invariant case-Output Controllability-
Reducibility-System Realizations.
UNIT IV STABILITY 9
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 9
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.
L: 45 T:15 TOTAL : 60 PERIODS
REFERENCES:
1. Gopal.M, “Modern Control System Theory”, New Age International, 2005.
2. Ogatta.K, “Modern Control Engineering”, PHI, 2002.
3. John S. Bay, “Fundamentals of Linear State Space Systems”, McGraw-Hill, 1999.
4. Roy Choudhury.D, “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. Bubnicki.Z, ”Modern Control Theory”, Springer, 2005.
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