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A novel condition for stable nonlinear sampled-data models using higher-order discretized approximations with zero

Cheng Zeng1, Shan Liang2, Shuwen Xiang3

  • 1College of Science, Guizhou Institute of Technology, Guiyang Guizhou 550003, China; College of Computer Science and Technology, Guizhou University, Guiyang Guizhou 550025, China.

ISA Transactions
|April 5, 2017
PubMed
Summary

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This summary is machine-generated.

This study introduces a novel, weaker consistency condition for discretizing continuous-time nonlinear systems. This new condition ensures stability in sampled-data models, improving digital control strategies.

Area of Science:

  • Control Theory
  • Nonlinear Systems
  • Discrete-Time Systems

Background:

  • Continuous-time systems are often modeled using ordinary differential equations.
  • Discretization is essential for practical analysis, utilization, and digital control of these systems.
  • Accurate sampled-data models are crucial for controlling nonlinear continuous-time systems.

Purpose of the Study:

  • To investigate a new, weaker consistency condition for sampled-data models.
  • To develop a novel condition for stabilizing exact sampled-data models of nonlinear systems.
  • To extend existing controller design methods beyond Euler approximation.

Main Methods:

  • Developing a new, weaker consistency condition for system discretization.
  • Analyzing the stability of high-order approximate models and their zero dynamics.
Keywords:
Consistency conditionController designExact sampled-data plantHigher-order approximation discretized modelZero dynamics

Related Experiment Videos

  • Designing a controller based on a higher-order approximate discretized model.

    • Main Results:

    • The proposed consistency condition is less restrictive than previous ones.
    • The new condition guarantees stabilization of the exact sampled-data model for small sampling periods, given model stability.
    • The condition is linked to the relative degree of the nonlinear system and stable sampling zero dynamics.

    Conclusions:

    • A novel consistency condition is presented for nonlinear sampled-data systems.
    • This condition offers improved stability guarantees for digital control.
    • The controller design advances existing methods by utilizing higher-order approximations.