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On Output Feedback Multiobjective Control for Singularly Perturbed Systems

Author

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  • Mehdi Ghasem Moghadam
  • Mohammad Taghi Hamidi Beheshti

Abstract

A new design procedure for a robust ð » 2 and ð » âˆž control of continuous-time singularly perturbed systems via dynamic output feedback is presented. By formulating all objectives in terms of a common Lyapunov function, the controller will be designed through solving a set of inequalities. Therefore, a dynamic output feedback controller is developed such that ð » âˆž and ð » 2 performance of the resulting closed-loop system is less than or equal to some prescribed value. Also, ð » âˆž and ð » 2 performance for a given upperbound of singular perturbation parameter 𠜀 ∈ ( 0 , 𠜀 ∗ ] are guaranteed. It is shown that the 𠜀 -dependent controller is well defined for any 𠜀 ∈ ( 0 , 𠜀 ∗ ] and can be reduced to an 𠜀 -independent one so long as 𠜀 is sufficiently small. Finally, numerical simulations are provided to validate the proposed controller. Numerical simulations coincide with the theoretical analysis.

Suggested Citation

  • Mehdi Ghasem Moghadam & Mohammad Taghi Hamidi Beheshti, 2011. "On Output Feedback Multiobjective Control for Singularly Perturbed Systems," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-28, March.
    • Handle: RePEc:hin:jnlmpe:903126
    DOI: 10.1155/2011/903126
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