Department of Electrical and Electronics Engineering

SYSTEM THEORY

 

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. 

 

Unit - 1
STATE VARIABLE REPRESENTATION
Introduction-Concept of State-State equation for Dynamic Systems-Time invariance and linearity-Nonuniqueness of state model-State Diagrams-Physical System and State Assignment.
Unit - 2
SOLUTION OF STATE EQUATION
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 - 3
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 - 4
STABILITY
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 - 5
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.