http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Diversity and non-integer differentiation for system dynamics
1 online resource (xxi, 359 pages : : illustrations.)
Ch. 1 From Diversity to Unexpected Dynamic Performances -- 1.1. Introduction -- 1.2. An issue raising a technological bottle-neck -- 1.3. An aim liable to answer to the issue -- 1.4. A strategy idea liable to reach the aim -- 1.4.1. Why diversity? -- 1.4.2. What does diversity imply? -- 1.5. On the strategy itself -- 1.5.1. The study object -- 1.5.2. A pore: its model and its technological equivalent -- 1.5.3. Case of identical pores -- 1.5.4. Case of different pores -- 1.6. From physics to mathematics -- 1.6.1. An unusual model of the porous face -- 1.6.2. A just as unusual model governing water relaxation -- 1.6.3. What about a non-integer derivative which singles out these unusual models? -- 1.7. From the unusual to the unexpected -- 1.7.1. Unexpected damping properties -- 1.7.2. Just as unexpected memory properties -- 1.8. On the nature of diversity -- 1.8.1. An action level to be defined -- 1.8.2. One or several forms of diversity? -- 1.9. From the porous dyke to the CRONE suspension -- 1.10. Conclusion -- 1.11. Bibliography -- ch. 2 Damping Robustness -- 2.1. Introduction -- 2.2. From ladder network to a non-integer derivative as a water-dyke interface model -- 2.2.1. On the admittance factorizing -- 2.2.2. On the asymptotic diagrams at stake -- 2.2.3. On the asymptotic diagram exploiting -- 2.3. From a non-integer derivative to a non-integer differential equation as a model governing water relaxation -- 2.3.1. Flow-pressure differential equation -- 2.3.2. A non-integer differential equation as a model governing relaxation -- 2.3.3. Electrical analogy -- 2.4. Relaxation expression -- 2.5. From a non-integer differential equation to relaxation damping robustness -- 2.5.1. Operational approach -- 2.5.2. Frequency approach -- 2.5.3. On the representation of robustness in a symbolic domain -- 2.6. Validation by an experimental simulation in analog electronics -- 2.6.1. Simulation functional diagram -- 2.6.2. Simulation electronic circuit -- 2.6.3. On the simulation itself: damping robustness tests -- 2.7. Bibliography -- ch. 3 Non-Integer Differentiation, its Memory and its Synthesis -- 3.1. Introduction -- 3.2. From integer differentiation to non-integer differentiation -- 3.2.1. Toward non-integer differentiation: the adopted approach -- 3.2.2. Generic form of the order 1 and 2 derivatives -- 3.2.3. Generalization to the integer and non-integer case -- 3.3. From repeated integer integration to non-integer differentiation K through non-integer integration -- 3.3.1. Repeated integer integration -- 3.3.2. Non-integer integration -- 3.3.3. Non-integer differentiation -- 3.4. Non-integer differentiation in sinusoidal steady state -- 3.4.1. A definition of the Fresnel vector -- 3.4.2. A direct application to kinematic magnitudes -- 3.4.3. Non-integer derivative of position -- 3.4.4. Verification of the decomposition of x(n)(t) -- 3.5. On memory associated with non-integer differentiation -- 3.5.1. From the local to the global by taking into account the past -- 3.5.2. On memory notion -- 3.5.3. On an aspect of human memory (an investigation trail) -- 3.6. On the synthesis of non-integer differentiation -- 3.6.1. Synthesis of a frequency-bounded real non-integer differentiator -- 3.6.2. Synthesis of a frequency-bounded complex non-integer differentiator -- 3.6.3. Stability of the synthesis transmittance -- 3.6.4. Distribution of synthesis zeros and poles: real and imaginary orders of differentiation -- 3.6.5. Determination of the number of synthesis zeros and poles -- 3.6.6. Validation in time domain -- 3.7. Bibliography -- ch. 4 On the CRONE Suspension -- 4.1. Introduction -- 4.2. From the porous dyke to the hydropneumatic version of the CRONE suspension -- 4.2.1. Concept -- 4.2.2. From concept to achievement -- 4.2.3. Vehicle implementation -- 4.3. Metallic version of the CRONE suspension -- 4.3.1. A technological difference in terms of suspensions -- 4.3.2. Performance and robustness objective -- 4.3.3. Strategy -- 4.3.4. Contract collaboration -- 4.3.5. Principle of the CRONE suspension -- 4.3.6. Transfers of the usual and CRONE suspensions -- 4.3.7. Initial behavior: no initial acceleration for the CRONE suspension -- 4.3.8. Stability degree robustness -- 4.3.9. Idea of the synthesis of a non-integer order dashpot -- 4.3.10. Active character of the CRONE suspension -- 4.3.11. Piloted passive CRONE suspension -- 4.4. Bibliography -- ch. 5 On the CRONE Control -- 5.1. Introduction -- 5.2. From the porous dyke to the CRONE control of first and second generations -- 5.2.1. First interpretation of the relaxation model: first generation CRONE strategy -- 5.2.2. Second interpretation of the relaxation model: second generation CRONE strategy -- 5.3. Second generation CRONE control and uncertainty domains -- 5.3.1. Uncertainty domains -- 5.3.2. Particular open-loop uncertainty domains -- 5.3.3. Adequacy of the second generation CRONE control template to the particular uncertainty domains -- 5.4. Generalization of the vertical template through the third generation CRONE control -- 5.4.1. First level of generalization -- 5.4.2. Second level of generalization -- 5.4.3. Open-loop transfer integrating the curvilinear template -- 5.4.4. Optimization of the open-loop behavior -- 5.4.5. Structure and parametric estimation of the controller -- 5.4.6. Application -- 5.5. Bibliography -- ch. 6 Recursivity and Non-Integer Differentiation -- 6.1. Introduction -- 6.2. Indefinite recursive parallel arrangement of series RC cells -- 6.2.1. Localization of zeros -- 6.2.2. Zero and pole alternating -- 6.2.3. Geometric progression of zeros -- 6.2.4. Position of the zeros relatively to the poles -- 6.2.5. Zero and pole transposition to frequency domain -- 6.2.6. Impulse behavior -- 6.2.7. Step behavior -- 6.3. Recursive arborescent network as a lung respiratory model -- 6.3.1. Modeling by an equivalent electric network -- 6.3.2. Network admittance -- 6.3.3. Non-integer order of the admittance -- 6.3.4. Frequency band corresponding to the non-integer behavior -- 6.4. Unified study of recursive parallel arrangements of RL, RC and RLC cells -- 6.4.1. Recursive parallel arrangement of series RL cells -- 6.4.2. Recursive parallel arrangement of series RC cells -- 6.4.3. Recursive parallel arrangement of series RLC cells -- 6.4.4. Commented synthesis of the main results -- 6.5. A common presentation of results turning on eight RC and RL cell recursive arrangements -- 6.5.1. Systemic recursivity -- 6.5.2. Frequency recursivity -- 6.5.3. Same recursivity on the components -- 6.6. On unit gain frequency in non-integer differentiation or integration -- 6.7. On stored energy in non-integer differentiation or integration -- 6.7.1. Non-integer differentiator -- 6.7.2. Non-integer integrator -- 6.8. Bibliography.
Includes bibliographical references and index.
Control, systems and industrial engineering series