Compensator design

A compensator, or controller, placed in the forward path of a control system will modify the shape of the loci if it contains additional poles and zeros. Characteristics of conventional compensators are given in Table 5.2. 

In compensator design, hand calculation is cumbersome, and a suitable computer package, such as MATLAB is generally used. 

A control system has the open-loop transfer function given in Example 5.8, i.e. 

Summary Of the three compensators considered, only option 2 met the performance specification. The recommended compensator is therefore 

Ship roll damping ratio ( = 0.248 Ship steady-state gain A s =0.5 

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Figure 3-67 The gain and phase Bode plots for design example 3.15.2 (compensation design).

Figure 4-21 The gain and phase Bode plots for design example 4.7.1 (compensation design) (a) the gain plot for the power supply (h) the phase plot for the power supply.

The method performed above with the plaeement of the poles and zeroes will yield a minimum value for the exeess phase of 45 degrees, whieh is satisfaetory. If other pole and zero loeations are attempted, then loeate the maximum phase lag point of the L-C filter at the geometrie mean frequency between/ez2 and/epi. This will guarantee the best phase performance. The amount of phase boost of the compensation design will be... 

Fig. 6.35 Bode gain and phase for lead compensator, design one.

Fig. 6.39 Closed-loop frequency response for both lead compensator designs.

In sections 5.4 and 6.6, compensator design in the. v-plane and the frequency domain were discussed for continuous systems. In the same manner, digital compensators may be designed in the z-plane for discrete systems. 

Digital compensator design using pole placement... 

The missile is to have a series compensator (design one) of the form... 

Nichols Chart for Case Study Example 6.6 %Lead Compensator Design One, Figure 6.34 clf... 

Example 7.8 Digital Compensator Design using Pole Placement... 

Equations (8.32) and (8.33) describe what we call the normal or no failure operation of the system of interest. The problem of failure detection is concerned with the detection of abrupt changes in a system, as modeled in Eqs. (8.32) and (8.33). Changes in (8.33) will be referred to as sensor failures. The main task of failure detection and compensation design is to modify the normal mode configuration to add the capability of detecting abrupt changes and compensating for them. In order to do that, we need to formulate what is called the failure model system ... 

Can sense as the basis of phase-lead and phase-lag compensator design... 

The application of d5mamic loads to simplified models of high buildings allows us to study the response of given compensator designs and to perform an optimization study. It may contribute to a significant reduction ofthe destructive impact the structure has to withstand during the earthquake. 

Hwang W-J, Shin K-S, Roh J-H, Lee D-S, S.-H S-H (2011) Development of micro-heaters with optimized temperature compensation design for gas sensors. Sensors 11 2580-2591 Ihokura K, Watson J (1994) The stannic oxide gas sensor—prindples and applications. CRC, Boca Raton, FL, pp 79-85... 

Discussions of the components, design, or limitations of the compensator are beyond the scope of this entry, but suffice it to say that the challenge is to simultaneously ensure high loop gain and stability and that the compensator design determines the shape of the roll-off of the closed-loop transfer function at high frequency. 

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