Virtual Equivalent System Approach for Stability Analysis of Model-based Control Systems

1. Front Matter

   Pages i-xiii

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2. Motivation and Contents of the Monograph

   • Weicun Zhang, Qing Li

   Pages 1-4

3. Stability and Convergence Analysis of Self-Tuning Control Systems

   • Weicun Zhang, Qing Li

   Pages 5-40

4. Further Results on Stability and Convergence of Self-Tuning Control Systems

   • Weicun Zhang, Qing Li

   Pages 41-63

5. Stable Weighted Multiple Model Adaptive Control of Discrete-Time Stochastic Plant

   • Weicun Zhang, Qing Li

   Pages 65-87

6. Further Results on Stable Weighted Multiple Model Adaptive Control of Discrete-Time Stochastic Plant

   • Weicun Zhang, Qing Li

   Pages 89-110

7. Stable Weighted Multiple Model Adaptive Control of Continuous-Time Plant

   • Weicun Zhang, Qing Li

   Pages 111-127

8. Stability of Continuous-Time T-S Model Based Fuzzy Control Systems

   • Weicun Zhang, Qing Li

   Pages 129-149

9. Back Matter

   Pages 151-168

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This book puts forward the concept of a virtual equivalent system (VES) based on theoretical analysis and simulation results. The new concept will facilitate the development of a unified framework for analyzing the stability and convergence of self-tuning control (STC) systems, and potentially, of all adaptive control systems. The book then shows that a time-varying STC system can be converted into a time-invariant system using a certain nonlinear compensation signal, which reduces the complexity and difficulty of stability and convergence analysis. In closing, the VES concept and methodology are used to assess the stability of multiple model adaptive control (MMAC) systems and T-S model-based fuzzy control systems.

• Virtual equivalent system
• Stability convergence, and robustness
• Adaptive control
• Self-tuning control
• Multiple model adaptive control

• School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, China

  Weicun Zhang, Qing Li

Weicun ZHANG is an associate professor at the School of Automation and Electrical Engineering, University of Science and Technology Beijing. He obtained his Ph.D. degree in control theory and applications from Tsinghua University in 1993. His research interest covers adaptive control, multiple model adaptive control, intelligent control, and their applications, etc.

Qing Li is a professor at the School of Automation and Electrical Engineering, University of Science and Technology Beijing. He obtained his Ph.D. degree in control theory and applications from University of Science and Technology Beijing in 2000. His research interest covers intelligent control, navigation, path planning and their applications, etc

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