CONTROL OF A SUSPENSION SYSTEM OF A CAR CONTENTS INTRODUCTION OBJECTIVE SYSTEM VARIABLES TECHNICAL SPECIFICATIONS DESIGN REPRESENTATION OF SPACE 4.1 DIFFERENTIAL EQUATIONS STABILITY ANALYSIS BASED ON EIGEN VALUES PUNOVSIMULATIONS USA NDO MATLAB6.1 MATLAB CODE FOR ANSWER TO THE POINTSCONCLUSION REFERENCES1. INTRODUCTION: 1.1 OBJECTIVE: The main theme of the project is to take a control system from any source and make it stable by making appropriate modifications. After making the system stable, we need to perform stability analysis via Eigen values ​​or Lyapunov function and simulate the obtained transfer function to verify the stability. We will use Mat lab for computer simulation, for pitch response. Control System: A control system is a device that manages, commands, directs, or regulates the behavior of other devices or systems. A feedback control system plays a vital role while designing a control system. It has the ability to capture the output of the system and helps the system adapt to meet the design criteria. An automatic control system has played an important role in the advancement of engineering technology. In addition to its great importance in vehicle suspension systems, automatic control is also useful in the numerical control of machine tools and manufacturing industries and in the design of cars and trucks in the automotive industries. 1.2 SYSTEM VARIABLES: An automotive suspension system is a system that is responsible for the safety and smoothness of the vehicle's ride by avoiding disturbances caused by small dips and potholes in the road. The suspension supports the entire weight of the vehicle on the tires, so it should have some active and semi tires...... middle of paper .......1MATLAB CODE FOR PITCH RESPONSE:a= [10 1] b = [200 16.64 2]s=tf(x,y)[A,B,C,D]=tf2ss(x,y)eig(A)step(a,b)locus(a,b)stepinfo(s ) Cool. step response of the suspension systemFig. root locus 7. CONCLUSIONS: The vehicle suspension control system was found to be stable when we use both Eigen values ​​and Lyapunov stability. The frequency response for the matlab was generated using the step response. Since the Eigen values ​​were found to be negative, they were placed as much on the left side as possible and this is shown by the root locus plot. The main control element is located as a shock absorber and an actuator for the suspension system. A system was modeled in state space and equations were derived and transfer functions were derived. The system appears to be asymptotically stable.