Page 13 - Practical Control Engineering a Guide for Engineers, Managers, and Practitioners

Contents xii

10-6-3 Finding the Open-Loop Eigenvalues
and Placing the Closed-Loop
Eigenvalues . . . . . . . . . . . . . . . . . . . . 306
10-6-4 Implementing the Control
Algorithm . . . . . . . . . . . . . . . . . . . . . 307
10-7 Proportional-Integral Control Applied to
the Three-Tank Process . . . . . . . . . . . . . . . . . . 310
10-8 Control of the Lumped Tubular Energy
Excll.anger . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 310
10-9 Miscellaneous Issues . . . . . . . . . . . . . . . . . . . . 315
10-9-1 Optimal Control . . . . . . . . . . . . . . . . 315
10-9-2 Continuous Time Domain Kalman
Filter . . . . . . . . . . . . . . . . . . . . . . . . . . 315
10-10 Summa~ .............................. 316
11 A Review of Control Algorithms . . . . . . . . . . . . . . . 317
11-1 The Strange Motel Shower Stall
Control Problem . . . . . . . . . . . . . . . . . . . . . . . . 317
11-2 Identifying the Strange Motel Shower Stall
Control Approach as Integral Only . . . . . . . . 321
11-3 Proportional-Integral, Proportional-Only, and
Proportional-Integral-Derivative Control . . 322
11-3-1 Proportional-Integral Control . . . . . 322
11-3-2 Proportional-Only Control 324
11-3-3 Proportional-Integral-Derivative
Control . . . . . . . . . . . . . . . . . . . . . . . . 324
11-3-4 Modified Proportional-Integral-
Derivative Control . . . . . . . . . . . . . . 326
11-4 Cascade Control . . . . . . . . . . . . . . . . . . . . . . . . 328
11-5 Control of White Noise--Conventional
Feedback Control versus SPC . . . . . . . . . . . . 332
11-6 Control Choices . . . . . . . . . . . . . . . . . . . . . . . . 335
11-7 Analysis and Design Tool Choices . . . . . . . . 337
A Rudimentary Calculus . . . . . . . . . . . . . . . . . . . . . . . . 339
A-1 The Automobile Trip . . . . . . . . . . . . . . . . . . . . 339
A-2 The Integral, Area, and Distance . . . . . . . . . . 339
A-3 Approximation of the Integral . . . . . . . . . . . 344
A-4 Integrals of Useful Functions . . . . . . . . . . . . . 345
A-5 The Derivative, Rate of Change,
and Acceleration . . . . . . . . . . . . . . . . . . . . . . . 346
A-6 Derivatives of Some Useful Functions . . . . . 348
A-7 The Relation between the Derivative
and the Integral . . . . . . . . . . . . . . . . . . . . . . . . 349
A-8 Some Simple Rules of Differentiation . . . . . . 350
A-9 The Minimum/Maximum of a Function . . . 351