GATE EE 1993 | State Variable Analysis Question 38 | Control Systems

GATE EE 1993

MCQ (Single Correct Answer)

-0.3

The transfer function for the state variable representation $$\mathop X\limits^ \bullet = AX + BU,\,\,Y = CX + DU,$$ is given by

$$D + C{\left( {s{\rm I} - A} \right)^{ - 1}}\,\,B$$

$$B{\left( {s{\rm I} - A} \right)^{ - 1}}\,C + D$$

$$D{\left( {s{\rm I} - A} \right)^{ - 1}}\,B + C$$

$$C{\left( {sl - A} \right)^{ - 1}}\,D + B$$

GATE EE 1993

MCQ (Single Correct Answer)

-0.3

Consider a second order system whose state space representation is of the form $$\mathop X\limits^ \bullet = AX + BU.$$ If $$\,{x_1}\,\,\left( t \right)\, = {x_2}\,\left( t \right),$$ then system is

controllable

uncontrollable

observable

unstable

GATE EE Subjects

Browse all chapters by subject

Digital Electronics

Boolean Algebra Combinational Circuits Logic Gates Logic Families and Memories Minimization Sequential Circuits Analog to Digital and Digital to Analog Converter Microprocessor

Control Systems

Time Response Analysis State Variable Analysis Basics of Control System Root Locus Techniques Block Diagram and Signal Flow Graph Controller and Compensator Polar Nyquist and Bode Plot Routh Hurwitz Stability

Power System Analysis

Power System Stability Load Flow Studies Parameters and Performance of Transmission Lines High Voltage Dc Transmission Circuit Breaker Symmetrical Components and Symmetrical and Unsymmetrical Faults Per Unit System Power Generation Cost Switch Gear and Protection Generating Power Station

Analog Electronics

Diode Circuits and Applications Feedback Amplifiers and Oscillator Circuits Frequency Response Bjt and Mosfet Biasing Small Signal Modeling 555 Timer Operational Amplifier

Electric Circuits

Three Phase Circuits Two Port Networks Network Theorems Sinusoidal Steady State Analysis Graph Theory Transient Response Network Elements

Electrical and Electronics Measurement

Basic of Indicating Instruments Error Analysis and Measurement Cathode Ray Oscilloscope Measurement of Resistance and A.C Bridges Digital Voltmeters Questions Potentiometer and Instrument Transformers Measurement of Energy and Power

Power Electronics

Power Semiconductor Devices Ac Voltage Controllers Single and Three Phase Rectifier Choppers and Commutation Techniques Inverters

Electromagnetic Fields

Time Varying Fields Electrostatics Magnetostatics

Signals and Systems

Continuous Time Periodic Signal Fourier Series Sampling Theorem Miscellaneous Continuous Time Signal Fourier Transform Linear Time Invariant Systems Continuous and Discrete Time Signals Discrete Time Signal Z Transformation Continuous Time Signal Laplace Transform

Electrical Machines

Induction Machines D.C Machines Transformers Synchronous Machines

Engineering Mathematics

Linear Algebra Differential Equations Probability and Statistics Complex Variable Transform Theory Numerical Methods Calculus Vector Calculus

General Aptitude

Verbal Ability Logical Reasoning Numerical Ability