Here you can download the free lecture Notes of Advanced Control Systems Pdf Notes- ACS Notes pdf materials with multiple file links to download. This Advanced Control system Notes pdf book starts with the topics covering STATE SPACE ANALYSIS: State Space Representation, Solution of State Equation, State Transition Matrix, Canonical Forms, etc.

**Advanced Control Systems Pdf Notes – ACS Notes pdf file**

JNTU Advanced Control Systems Notes pdf – ACS pdf notes – ACS notes pdf file to download are listed below please check it –

**Complete Notes**

**1 Unit Notes**

**2 Unit Notes**

**3 Unit Notes**

**4 Unit Notes**

**5 Unit Notes**

**6 Unit Notes**

**7 Unit Notes**

**8 Unit Notes**

Note:- These notes are according to the R09 Syllabus book of JNTU. In R13 and R15, 8-units of R09 syllabus are combined into 5-units in R13 and R15 syllabus. If you have any doubts please refer to the JNTU Syllabus Book.

**Advanced Control Systems Notes – Topics covered**

#### UNIT – I

STATE SPACE ANALYSIS: State Space Representation, Solution of State Equation, State Transition Matrix, Canonical Forms – Controllable Canonical Form, Observable Canonical Form, Jordan Canonical Form.

#### UNIT – II

CONTROLLABILITY AND OBSERVABILITY: Tests for controllability and observability for continuous-time systems – Time-varying case, minimum energy control, time-invariant case, Principle of Duality, Controllability and observability form Jordan canonical form and other canonical forms.

#### UNIT – III

DESCRIBING FUNCTION ANALYSIS: Introduction to nonlinear systems, Types of nonlinearities, describing functions, describing function analysis of nonlinear control systems.

#### UNIT-IV

PHASE-PLANE ANALYSIS: Introduction to phase-plane analysis, Method of Isoclines for Constructing Trajectories, singular points, phase-plane analysis of nonlinear control systems.

#### UNIT-V

STABILITY ANALYSIS: Stability in the sense of Lyapunov., Lyapunov’s stability and Lypanov’s instability theorems. A direct method of Lypanov for the Linear and Nonlinear continuous-time autonomous systems.

#### UNIT – VI

MODAL CONTROL: Effect of state feedback on controllability and observability, Design of State Feedback Control through Pole placement. Full order observer and reduced-order observer.

#### UNIT-VII

CALCULUS OF VARIATIONS: Minimization of functionals of a single function, Constrained minimization. Minimum principle. Control variable inequality constraints. Control and state variable inequality constraints. Euler Lagrange Equation.

#### UNIT –VIII

OPTIMAL CONTROL: Formulation of optimal control problem. Minimum time, Minimum energy, minimum fuel problems. State regulator problem. Output regulator problem. Tracking problem, Continuous-Time Linear Regulators.

**Reference: Advanced control system lecture notes**

1. Modern Control Engineering – by K. Ogata, Prentice Hall of India, 3rd edition, 1998

2.Control Systems Engineering by I.J. Nagarath and M.Gopal, New Age International (P) Ltd.

3.Digital Control and State Variable Methods – by M. Gopal, Tata Mc Graw-Hill Companies, 1997.

4.Systems and Control by Stanislaw H. Zak, Oxford Press, 2003.

**Textbooks –** Advanced control system lecture notes

Modern Control System Theory – by M. Gopal, New Age International Publishers, 2nd edition, 1996.

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