Control in System Dynamics: Comparative Analysis of Feedback Strategies By Alain Oustaloup
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Control in System Dynamics: Comparative Analysis of Feedback Strategies By Alain Oustaloup

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436
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14.33 MB
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About this ebook
Control in System Dynamics: Comparative Analysis of Feedback Strategies by Alain Oustaloup addresses the fundamentals of automatic control loops and evaluates how increasing the complexity of a control scheme impacts performance and robustness. The book places a heavy focus on comparing traditional feedback loops with advanced architectures, specifically emphasizing the CRONE control methodology invented by the author. [1, 2, 3]
The book is structured into five core chapters, supplemented by extensive practice sets and reference material: [1]
1. The Control Loop: Characterization and Behavior in Open Loop and Closed Loop
  • Tracking-regulation duality across operational and frequency domains.
  • Characterization of open-loop and closed-loop transmittances.
  • Reference tracking and disturbance rejection functionalities.
  • Evaluation of loop behaviors (stable, unstable, or marginally oscillating systems) using the left-hand criterion. [1]
2. Stability, Precision, Dynamic Performances, and Controller Synthesis
  • Fundamental stability conditions evaluated via algebraic and graphical criteria.
  • Definition and calculation of frequency stability margins (gain and phase margins).
  • Minimization of quadratic criteria to determine optimum phase margins relative to overshoot and rise times.
  • Resolving the stability degree-precision dilemma via the Nichols plane.
  • Mathematical parameters for time and frequency dynamic performances used during controller synthesis. [1]
3. An Overview of Linearizing Approaches
  • Analysis of control methodologies designed to linearize system dynamics.
  • Comparative framework examining performance trade-offs when forcing linear behaviors onto complex systems. [1, 2]
4. Advanced Control Topologies: From Principle to Control Loop
  • High-Gain Control principles and implementation.
  • Feedforward Control strategies for proactive disturbance mitigation.
  • Internal-Model Control (IMC) architectures.
  • Quadratic-Criterion Control optimization models.
  • Predictive Control loops and execution frameworks. [1]
5. On the Three Generations of CRONE Control
  • Introduction to CRONE control (Commande Robuste d'Ordre Non Entier / Robust Non-Integer Order Control). [1]
  • First-Generation CRONE: Utilizing real, non-integer differentiation orders to parameterize regulator transmittances using minimal parameters. [1]
  • Second- and Third-Generation CRONE: Generalization of vertical templates into straight-line segments of arbitrary direction (generalized templates) to address complex plant uncertainties. [1]
  • Performance desensitization strategies to optimize fractional-order stability degree robustness. [1]
Practical Material Included
  • Solved Problems: Features over 150 pages of fully solved engineering and synthesis problems detailing the exact application of these feedback strategies.
  • Appendices: Formulas, operational charts, and reference tables for system dynamics modeling. [1, 2]

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Topics

Advanced Control Topologies: From Principle to Control Loop An Overview of Linearizing Approaches Analysis of control methodologies designed to linearize system dynamics Characterization of open-loop and closed-loop transmittances. CRONE control (Commande Robuste d'Ordre Non Entier / Robust Non-Integer Order Control) examining performance trade-offs when forcing linear behaviors onto complex systems Feedforward Control strategies for proactive disturbance mitigation First-Generation CRONE: real non-integer differentiation orders to parameterize regulator transmittances using minimal parameters frequency stability margins (gain and phase margins) Fundamental stability conditions evaluated via algebraic and graphical criteria High-Gain Control principles and implementation Internal-Model Control (IMC) architectures Mathematical parameters for time and frequency dynamic performances used during controller synthesis Minimization of quadratic criteria to determine optimum phase margins relative to overshoot and rise times Performance desensitization strategies to optimize fractional-order stability degree robustness Predictive Control loops and execution frameworks Quadratic-Criterion Control optimization models Reference tracking and disturbance rejection functionalities. Resolving the stability degree-precision dilemma via the Nichols plane Second- and Third-Generation CRONE: Generalization of vertical templates into straight-line segments of arbitrary direction Stability Precision Dynamic Performances and Controller Synthesis The Control Loop: Characterization and Behavior in Open Loop and Closed Loop Three Generations of CRONE Control Tracking-regulation duality across operational and frequency domains.
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