Modern Control Engineering

790 Chapter 10 / Control Systems Design in State Space Output y t (sec) Unit-Step Response of (302s^2 + 303s + 256)/(s^5 +18s^4 ...

Section 10–7 / Design of Control Systems with Observers 791 Output y t (sec) Unit-Step Response of (2.2655s^2 + 40.779s + 256)/( ...

792 Chapter 10 / Control Systems Design in State Space Frequency (rad/sec) Bode Diagrams of Closed-Loop Systems − 300 0 − 100 − ...

Section 10–8 / Quadratic Optimal Regulator Systems 793 frequency-response method. If the system designed has poor stability marg ...

794 Chapter 10 / Control Systems Design in State Space Now let us solve the optimization problem. Substituting Equation (10–113) ...

Section 10–8 / Quadratic Optimal Regulator Systems 795 whereTis a nonsingular matrix. Then Equation (10–115) can be written as w ...

796 Chapter 10 / Control Systems Design in State Space EXAMPLE 10–9 Consider the system shown in Figure 10–36. Assuming the cont ...

Section 10–8 / Quadratic Optimal Regulator Systems 797 from which we obtain the following three equations: Solving these three s ...

798 Chapter 10 / Control Systems Design in State Space solves the continuous-time, linear, quadratic regulator problem and the a ...

Section 10–8 / Quadratic Optimal Regulator Systems 799 Hence, the characteristic equation becomes The closed-loop poles are loca ...

800 Chapter 10 / Control Systems Design in State Space EXAMPLE 10–11 Consider the system described by where The performance inde ...

Section 10–8 / Quadratic Optimal Regulator Systems 801 EXAMPLE 10–12 Consider the system given by where The performance index Ji ...

802 Chapter 10 / Control Systems Design in State Space Next, let us obtain the response xof the regulator system to the initial ...

Section 10–8 / Quadratic Optimal Regulator Systems 803 x^1 x^2 x^3 0.6 0.8 1 1.2 0.4 0.2 0 02468 02468 02468 −0.2 − 3 − 2 − 1 0 ...

804 Chapter 10 / Control Systems Design in State Space To get a fast response,q 11 must be sufficiently large compared with q 22 ...

Section 10–8 / Quadratic Optimal Regulator Systems 805 MATLAB Program 10–23 % ---------- Unit-step response of designed system - ...

806 Chapter 10 / Control Systems Design in State Space Concluding Comments on Optimal Regulator Systems 1.Given any initial stat ...

model to be used for design purposes may be a simplified one, it is necessary that such a model must include any intrinsic chara ...

In the robust control theory, we define unstructured uncertainty as. Since the exact description of is unknown, we use an estima ...

Small-Gain Theorem. Consider the closed-loop system shown in Figure 10–42. In the figure and M(s)are stable and proper transfer ...