Ensuring Control Accuracy

01......Page 1
§1.1 Dynamic systems......Page 11
§1.2. Stable and rough systems......Page 15
§1.3. Influence of external action properties on indexes of system successful functioning......Page 17
§1.4. Robust systems......Page 19
§1.5. Low-sensitivity systems......Page 25
§ 2.1. Mathematical description of dynamic systems......Page 32
§2.2. Basic structures of control systems......Page 37
§2.3. Classification of investigation methods for dynamic systems......Page 42
§2.4. Control precision factors and classes of input actions......Page 47
§3.1. Interaction of action and its derivatives characteristics......Page 54
§3.2. Experimental determination of spectral and correlation characteristics of actions......Page 58
§3.3. Experimental determination of numerical characteristics for action derivatives......Page 66
§3.4. Determination of input action characteristics based on theoretical analysis......Page 70
§4.1. Optimal filtering at full a priori information......Page 77
§4.2. Minimax robust filtering with the band model of spectral indeterminacy......Page 85
§4.3. Strict determination of the most unfavorable spectral densities of actions with band models of spectral indeterminacy......Page 90
§4.4 Minimax robust filtering with models of spectral density
with ε -pollution......Page 104
§5.1. Introduction......Page 107
§5.2. Use of canonical presentations for sequence of spectral density moments......Page 110
§5.3. Approximative method of estimation......Page 115
§5.4. Upper estimate of dynamic error dispersion......Page 121
§5.5. The lower estimate for dispersion of dynamic error......Page 128
§5.6. Design equations at known dispersions of action and two of its younger derivatives......Page 131
§5.7. Estimations for dispersion of error from interference......Page 135
§5.8. Use of equivalent harmonic actions......Page 139
§6.1. Preliminary notes......Page 146
§6.2. Calculation of maximum error with the restriction of one action derivative......Page 149
§6.3. Calculation of maximum error with the restriction of several action derivatives......Page 156
§6.4. Approximate upper estimate of maximum error......Page 162
§6.5. Frequency method for maximum error estimation......Page 166
§6.6. Precision of the frequency domain method......Page 172
§6.7. Design example......Page 177
§7.1 Principles of construction: the forbidden areas for Bode diagrams of open loop systems......Page 183
§7.2. Restriction of dynamic error dispersion......Page 188
§7.3. Restriction of maximum dynamic error......Page 198
§7.4. Restriction of error from interference and total error measures......Page 205
§8.1. Analytical and numeric methods......Page 212
§8.2. Graphic-analytical method......Page 217
§8.3. Estimation of loss in potential accuracy when lacking a priori information......Page 220
§9.1. Determination of characteristics for values of actions discrete in time domain......Page 226
§9.2. Synthesis of closed loop digital robust systems......Page 231
§9.3. Synthesis of digital robust functional elements of dynamic systems......Page 237
10......Page 249