Modern Control Engineering

770 Chapter 10 / Control Systems Design in State Space To avoid this difficulty, we eliminate in the following way. First rewrit ...

Section 10–5 / State Observers 771 u x y x   B C K Minimum-order observer Transformation ~ ~ h h~ . ++ + ++ + + D C F A B x. ...

772 Chapter 10 / Control Systems Design in State Space The characteristic equation for the minimum-order observer is obtained fr ...

Section 10–5 / State Observers 773 where Observed-State Feedback Control System with Minimum-Order Observer. For the case of the ...

774 Chapter 10 / Control Systems Design in State Space EXAMPLE 10–8 Consider the system where Let us assume that we want to plac ...

Section 10–5 / State Observers 775 MATLAB Program 10–10 A = [0 1 0;0 0 1;-6 -11 -6]; B = [0;0;1]; J = [-2+j2sqrt(3) -2-j2sqrt(3) ...

776 Chapter 10 / Control Systems Design in State Space where or If the observed-state feedback is used, then the control signal ...

Section 10–5 / State Observers 777 Transfer Function of Minimum-Order Observer-Based Controller. In the minimum-order observer e ...

778 Chapter 10 / Control Systems Design in State Space 10–6 Design of Regulator Systems with Observers In this section we shall ...

Section 10–6 / Design of Regulator Systems with Observers 779 Also, is defined by where and [See Equation (2–35) for the calcula ...

780 Chapter 10 / Control Systems Design in State Space MATLAB Program 10–12 % Determination of transfer function of observer con ...

Section 10–6 / Design of Regulator Systems with Observers 781 MATLAB Program 10–13 % Obtaining the characteristic equation [num1 ...

782 Chapter 10 / Control Systems Design in State Space MATLAB Program 10–14 % Determination of transfer function of observer con ...

Section 10–6 / Design of Regulator Systems with Observers 783 The error equation for the minimum-order observer is (10–111) By c ...

784 Chapter 10 / Control Systems Design in State Space Next, we shall check the frequency-response characteristics. The Bode dia ...

Section 10–6 / Design of Regulator Systems with Observers 785 Finally, we shall compare the root-locus plots of the first system ...

786 Chapter 10 / Control Systems Design in State Space Comments 1.In designing regulator systems, note that if the dominant cont ...

Section 10–7 / Design of Control Systems with Observers 787 ry Plant r+ u Observer controller + u r yu Plant r–y Observer +– ...

788 Chapter 10 / Control Systems Design in State Space where Next, we choose the desired closed-loop poles for pole placement at ...

Section 10–7 / Design of Control Systems with Observers 789 Figure 10–28 shows the block diagram of the regulator system just de ...