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Related Experiment Videos

Mixed Gl2/GH2 multi-channel multi-objective control synthesis for discrete time systems.

Wen-Jun Yan1, Sen-Lin Zhang

  • 1Department of Systems Science and Engineering, Zhejiang University, Hangzhou 310027, China. yanwenjun@zju.edu.cn

Journal of Zhejiang University. Science
|October 21, 2004
PubMed
Summary

This study introduces a novel multi-objective robust control method using generalized l2 (Gl2) and generalized H2 (GH2) conditions. The approach offers less conservative solutions for complex control problems via new linear matrix inequality constraints.

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Area of Science:

  • Control Theory
  • Systems Engineering
  • Applied Mathematics

Background:

  • Robust control is crucial for systems operating under uncertainty.
  • Existing generalized l2 (Gl2) and generalized H2 (GH2) methods have limitations in multi-objective scenarios.
  • Linear matrix inequality (LMI) constraints are widely used for control design.

Purpose of the Study:

  • To develop a new, less conservative approach for multi-objective robust control.
  • To extend existing Gl2 and GH2 conditions to a novel set of LMI constraints.
  • To address the multi-channel, multi-objective mixed Gl2/GH2 control problem.

Main Methods:

  • Extension of standard Gl2 and GH2 conditions.
  • Introduction of new linear matrix inequality (LMI) constraints.

Related Experiment Videos

  • Development of a variable parameterization technique to maintain linearity.
  • Application of computationally tractable algorithms.

    • Main Results:

    • A new stability condition is established.
    • The linearity of synthesis variables is preserved.
    • The multi-channel multi-objective mixed Gl2/GH2 control problem is solved with reduced conservatism.
    • Development of efficient algorithms for solving the control problem.

    Conclusions:

    • The proposed approach provides a less conservative solution for multi-objective robust control.
    • The method effectively handles multi-channel mixed Gl2/GH2 control problems.
    • The use of LMI constraints and variable parameterization enhances control design tractability.