Key MATLAB commands used in this tutorial are: ss , place , lsim For our design we desire an overshoot of less than 5% which corresponds to a zeta of 0.7 (please refer to your textbook for the relationship between overshoot and damping ratio). On a root locus this criterion is represented as a 45......

Key MATLAB commands used in this tutorial are: ss , ctrb , rank , lqr , step In order to apply our state-space controller design techniques we need to first verify an important property, controllability. The controllability property is necessary to guarantee that we have the authority to drive the......

Key MATLAB commands used in this tutorial are: ss , eig , lsim , lqr , ctrb , plotyy , obsv , place As you may have noticed if you went through some of the other inverted pendulum examples, the design criteria for this example are different. In the other examples we were attemping to keep the......

Key MATLAB commands used in this tutorial are: ss , step For the original problem and the derivation of the above equations and schematic, please refer to the Suspension: System Modeling page. We want to design a feedback controller so that when the road disturbance (W) is simulated by a unit......

Key MATLAB commands used in this tutorial are: ss , order , det , ctrb , place , step For the original problem setup and the derivation of the above equations, please refer to the DC Motor Position: System Modeling page With a 1-radian step reference, the design criteria are the......

Key MATLAB commands used in this tutorial are: ss , eig , lsim , lqr , ctrb , plotyy , obsv , place Since both of the state variables in our problem are easy to measure (simply add an ammeter for current and a tachometer for the speed), we can design a full-state feedback controller for the system......

Key MATLAB commands used in this tutorial are: ss , tf Automatic cruise control is an excellent example of a feedback control system found in many modern vehicles. The purpose of the cruise control system is to maintain a constant vehicle speed despite external disturbances, such as changes in wind......

The first step in the control design process is to develop appropriate mathematical models of the system derived either from physical laws or experimental data. In this section, we introduce the state-space and transfer function representations of dynamic systems. We then review some basic......