Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay

1. Front Matter

   Pages i-xvi

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2. Introduction

   • Yusheng Wei, Zongli Lin

   Pages 1-27

3. Truncated Predictor Feedback for Continuous-Time Linear Systems

   • Yusheng Wei, Zongli Lin

   Pages 29-73

4. Truncated Predictor Feedback for Discrete-Time Linear Systems

   • Yusheng Wei, Zongli Lin

   Pages 75-115

5. Truncated Predictor Feedback for General Linear Systems

   • Yusheng Wei, Zongli Lin

   Pages 117-147

6. Delay Independent Truncated Predictor Feedback for Continuous-Time Linear Systems

   • Yusheng Wei, Zongli Lin

   Pages 149-218

7. Delay Independent Truncated Predictor Feedback for Discrete-Time Linear Systems

   • Yusheng Wei, Zongli Lin

   Pages 219-252

8. Regulation of Continuous-Time Linear Input Delayed Systems Without Delay Knowledge

   • Yusheng Wei, Zongli Lin

   Pages 253-301

9. Regulation of Discrete-Time Linear Input Delayed Systems Without Delay Knowledge

   • Yusheng Wei, Zongli Lin

   Pages 303-340

10. Back Matter

    Pages 341-349

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This monograph is the first of its kind to present innovative research results on truncated predictor feedback (TPF) designs for general linear systems with input delay. Beginning with a brief review of time delay systems, the first half of the book focuses on TPF with a constant feedback parameter. Both state feedback and output feedback are considered. It is established that TPF achieves stabilization in the presence of an arbitrarily large bounded delay if the open loop system is not exponentially unstable. Examples are presented to illustrate that TPF may fail to stabilize an exponentially unstable system when the delay is sufficiently large. Bounds on the delay are then established under which stabilization can be achieved. The second half of the book explores variations of the TPF laws designed with a non-constant feedback parameter to accommodate unknown delays and improve closed-loop performance. The authors employ a step-by-step approach to presenting the ultimate resulton a completely delay-independent feedback law. 


Truncated Predictor Based Feedback Designs for Linear Systems with Input Delay will appeal to control engineers, control theorists, and graduate students studying control systems. This volume will also be a valuable resource for engineers and applied mathematicians interested in dynamic systems with time delays.

• truncated predictor based feedback designs
• truncated predictor based feedback law
• delay independent truncated predictor feedback
• truncated predictor feedback continuous time linear systems
• truncated predictor feedback discrete time linear systems
• delay independent truncated predictor output feedback design
• delay independent truncated predictor state feedback design
• stabilization of time delay systems
• adaptive feedback laws unknown delay
• truncated predictor feedback stabilization of time delay systems
• delay independent stabilization of linear systems
• Truncated predictor-based feedback
• Linear systems with input delay

• Electrical and Computer Engineering, University of Virginia, Charlottesville, USA

  Yusheng Wei, Zongli Lin

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