| Course Name | State Space Techniques |
| Course Code | 23AEE443 |
| Program | B. Tech. in Aerospace Engineering |
| Credits | 3 |
| Campus | Coimbatore |
Concepts of Matrix Algebra and Vector Spaces (revision) – Solution of Simultaneous Equation for Squares – Under- Determined and Over-Determined Systems – Concepts of Basis Vector Transformations; Similarity and Adjoint Transformation – Eigen Values and Eigen Vectors: Canonical Forms, Jordon Forms, Characteristic Equations, Analytical Functions of Square Matrices, Cayley-Hamilton Theorem.
Concepts of State, State-Space and State-Vector – Mathematical Modes in the State Space Form – State Equation and High- Order Differential Equations – State Space Form for Aerospace Systems, for e.g., Dynamic Behavior of Aircraft, Missile, Satellites, INS., etc. – Solution of Homogenous State Equations.
Solution of Non-Homogenous State Equations – Controllability and Observability of Systems – Concepts of Output Feedback and Full State Feedback, Pole-Placement Design – Concept of an Observer – Basics of Optimal Control.
Course Objectives
Course Outcomes
CO1: Recall Matrix Algebra and Vector Spaces, Understand basis vectors, dimension & span of vector spaces.
CO2: Define degeneracy, orthonormal set, linear transformation, Change of basis and solve simultaneous linear algebraic equations.
CO3: Derive and understand State space equations, Canonical realizations, Relate Transfer function and State space form to obtain any one from the other.
CO4: Evaluate Eigen values and Eigen vectors, Analyse Functions of square matrices and Cayley-Hamilton theorem.
CO5: Apply Controllability & Observability criteria to State feedback and Output feedback systems.
CO6: Execute arbitrary Pole placement and design State Observers to reconstruct state variables.
CO-PO Mapping
| PO/PSO | PO1 | PO2 | PO3 | PO4 | PO5 | PO6 | PO7 | PO8 | PO9 | PO10 | PO11 | PO12 | PSO1 | PSO2 | PSO3 |
| CO | |||||||||||||||
| CO1 | 3 | 2 | – | 2 | 2 | – | – | – | – | – | – | 1 | – | – | 3 |
| CO2 | 3 | 2 | – | 2 | 2 | – | – | – | – | – | – | 1 | – | – | 2 |
| CO3 | 3 | 2 | – | 2 | 2 | – | – | – | – | – | – | 1 | 1 | – | – |
| CO4 | 2 | 3 | – | 3 | 3 | – | – | – | – | – | – | 1 | – | – | 2 |
| CO5 | 2 | 2 | 2 | 2 | 2 | – | – | – | – | – | – | 1 | 3 | 3 | 1 |
| CO6 | 2 | 3 | 3 | 3 | 2 | – | – | – | – | – | – | 1 | 1 | 3 | – |
Evaluation Pattern
| Assessment | Internal | End Semester |
| Midterm Exam | 30 | |
| *Continuous Assessment (CA) | 30 | |
| End Semester | 40 |
*CA – Can be Quizzes, Assignment, Projects, and Reports
Text Book(s)
Friedland, B. “Control System Design”, illustrative edition, Dover publications, 2005.
Nise, Norman S. “Control Systems Engineering,” 8th Edition, Wiley, 2019.
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