Digital Controller Implementation and Fragility

1. Front Matter

   Pages i-xix

   PDF

2. Finite-Precision Computing for Digital Control Systems: Current Status and Future Paradigms

   • Robert S. H. Istepanian, James F. Whidborne

   Pages 1-12

3. Stability Margins and Digital Implementation of Controllers

   • Lee H. Keel, Shankar P. Bhattacharyya

   Pages 13-24

4. Finite Word-Length Effects in Systems with Fast Sampling

   • Ryszard Gessing

   Pages 25-42

5. Implementation of a Class of Low Complexity, Low Sensitivity Digital Controllers Using Adaptive Fixed-Point Arithmetic

   • Darrell Williamson

   Pages 43-74

6. Convexity and Diagonal Stability: an LMI Approach to Digital Filter Implementation

   • Stéphane Dussy

   Pages 75-86

7. The Determination of Optimal Finite-Precision Controller Realisations Using a Global Optimisation Strategy: A Pole-Sensitivity Approach

   • Sheng Chen, Jun Wu

   Pages 87-104

8. Computational Algorithms for Sparse Optimal Digital Controller Realisations

   • Ian J. Fialho, Tryphon T. Georgiou

   Pages 105-121

9. On the Structure of Digital Controllers in Sampled-Data Systems with Stability Consideration

   • Gang Li

   Pages 123-142

10. An Evolutionary Algorithm Approach to the Design of Finite Word-Length Controller Structures

    • James F. Whidborne, Robert S. H. Istepanian

    Pages 143-160

11. Non-fragile Robust Controller Design

    • Pertti M. Mäkilä, Juha Paattilammi

    Pages 161-181

12. Robust Resilient Controller Design

    • Wassim M. Haddad, Joseph R. Corrado

    Pages 183-211

13. Robust Non-Fragile Controller Design for Discrete Time Systems with FWL Consideration

    • Guang-Hong Yang, Jian Liang Wang, Yeng Chai Soh

    Pages 213-228

14. Synthesis of Controllers with Finite-Precision Considerations

    • Mauricio C. de Oliveira, Robert E. Skelton

    Pages 229-251

15. Quantisation Errors in Digital Implementations of Fuzzy Controllers

    • Inés del Campo, José M. Tarela, Koldo Basterretxea

    Pages 253-274

16. Back Matter

    Pages 275-277

    PDF

In the usual process of control system design, the assumption is made that the controller is implemented exactly. This assumption is usually reasonable, since clearly, the plant uncertainty is the most significant source of uncertainty in the control system, while controllers are implemented with high-precision hardware. However, inevitably, there will be some amount of uncertainty in the controller, a fact that is largely ignored in existing modern advanced robust control techniques. If the controller is implemented by analogue means, there are some tolerances in the analogue components. More commonly, the controller will be implemented digitally, and consequently there will be uncertainty involved with the quantization in the analogue-digital conversion and rounding in the parameter representation and in the numerical computations. A failure to account for these uncertainties in the controller may result in a controller that is "fragile". A controller is fragile in the sense that very small perturbations in the coefficients of the designed controller destabilize the closed-loop control system.
This book collects a number of articles which consider the problems of finite-precision computing in digital controllers and filters. Written by leading researchers, topics that the book covers include:
- analysis of fragility and finite-precision effects;
- design of optimal controller realizations;
- design of non-fragile robust controllers;
- design of low-complexity digital controllers;
- analysis of quantization effects in fuzzy controllers.

• Hardware
• algorithms
• complexity
• control
• control system
• development
• fuzzy control
• fuzzy controller
• identification
• optimal control
• optimization
• programming
• robust control
• simulation
• stability

• Department of Electronic and Computer Engineering, Brunel University, Uxbridge, Middlesex, UK

  Robert S. H. Istepanian

• Department of Mechanical Engineering, King’s College London, London, UK

  James F. Whidborne

Policies and ethics