Strict LMI-based finite-time mixed H∞ and passive control of singular fractional-order systems with polytopic uncertainty

Key Points

• Improved control stability is achieved for singular fractional-order systems with polytopic uncertainty, enhancing performance metrics.
• The developed method employs finite-time control strategies based on linear matrix inequalities (LMIs) to ensure desired performance.
• This approach provides a framework for analyzing both H-infinity and passive control techniques effectively in uncertain environments.
• The implications of this method highlight the potential for robust control advancements in complex dynamic systems.