Volume 43 Issue 8
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SUN Fengqi. State Feedback Generalized H2 Control of Continuous Integrated Control Systems[J]. Applied Mathematics and Mechanics, 2022, 43(8): 901-910. doi: 10.21656/1000-0887.420169
Citation: SUN Fengqi. State Feedback Generalized H2 Control of Continuous Integrated Control Systems[J]. Applied Mathematics and Mechanics, 2022, 43(8): 901-910. doi: 10.21656/1000-0887.420169

State Feedback Generalized H2 Control of Continuous Integrated Control Systems

doi: 10.21656/1000-0887.420169
  • Received Date: 2021-06-22
  • Accepted Date: 2021-09-06
  • Rev Recd Date: 2021-09-06
  • Available Online: 2022-06-20
  • Publish Date: 2022-08-01
  • Based on the Lyapunov stability theory, the matrix analysis method and the linear matrix inequality method, etc, the generalized H2 control of singularly perturbed uncertain-control time-varying delay systems with control input and disturbance input, was studied. A memory state generalized H2 controller was designed, and the decision theorem for the specific design method was given. With a new lemma for delay-dependent and delay-independent cases, the relatively less conservative stability criterion was derived. The obtained results were linearized, the selected numerical examples were used to verify the effectiveness and feasibility of the derived conclusions. The results show that, the closed-loop system is asymptotically stable in the whole range from zero to the singular perturbation upper bound, which expands the generalized H2 stability space and reduces the L2-L performance index. The comparison of the stability state parameter index with the related literatures indicate that, the proposed method has certain advantages and less conservatism, and is suitable for standard and non-standard cases.

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