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Related Experiment Videos

A SISO mixed H2/l1 optimal control problem and its solution.

Jun Wu1, Xie-he Hu, Jian Chu

  • 1National Key Laboratory of Industrial Control Technology,Institute of Advanced Process Control, Zhejiang University, Hangzhou 310027, China. jwu@iipc.zju.edu.cn

Journal of Zhejiang University. Science
|December 10, 2003
PubMed
Summary
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This study on discrete time systems found a unique optimal solution for the SISO mixed H(2)/l(1) problem. This solution can be approximated to any error bound using solvable suboptimal and superoptimal approaches.

Area of Science:

  • Control Theory
  • Systems Engineering
  • Signal Processing

Background:

  • The H(2)/l(1) control problem is a significant area in robust control theory.
  • Discrete-time systems present unique challenges compared to their continuous-time counterparts.
  • Finding optimal solutions for mixed H(2)/l(1) problems is crucial for system performance and stability.

Purpose of the Study:

  • To investigate the Single-Input Single-Output (SISO) mixed H(2)/l(1) problem for discrete-time systems.
  • To determine the existence and nature of optimal solutions for this problem.
  • To explore methods for approximating the optimal solution.

Main Methods:

  • Analysis of discrete-time systems using H(2) and l(1) norms.
  • Mathematical formulation of the mixed H(2)/l(1) problem.

Related Experiment Videos

  • Development of techniques for constructing suboptimal and superoptimal solutions.

    • Main Results:

    • Existence of a unique optimal solution for the SISO mixed H(2)/l(1) problem in discrete time.
    • Demonstration that this optimal solution can be approximated within any prescribed error bound.
    • Identification of solvable suboptimal and superoptimal solutions that facilitate approximation.

    Conclusions:

    • The SISO mixed H(2)/l(1) problem in discrete time possesses a well-defined optimal solution.
    • Practical approximation of the optimal solution is feasible through the proposed suboptimal and superoptimal methods.
    • This research contributes to the advancement of robust control design for discrete-time systems.