Mathematical systems theory

, Volume 22, Issue 1, pp 109–148 | Cite as

Reduced-order controllers inH-Optimal synthesis methods of the first kind

  • Madanpal S. Verma
  • James C. Romig


It has often been believed that inH-optimal synthesis methods, the resulting controllers have order much greater than the order of the plant. Recently, Limebeer and Hung [9] have shown that inH-optimal synthesis problems of the “first kind” both optimal as well as suboptimal controllers have order which is no greater than the order of the plant. However, those authors do not provide any explicit algorithm for computing these controllers. In this paper we derive an explicit procedure for computing suboptimal controllers in problems of the first kind. These controllers have order no greater than the order of the plant and can be computed by solving only two Riccati and two Lyapunov equations.


Computational Mathematic Synthesis Method Synthesis Problem Lyapunov Equation Optimal Synthesis 
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Copyright information

© Springer-Verlag New York Inc 1989

Authors and Affiliations

  • Madanpal S. Verma
    • 1
  • James C. Romig
    • 1
  1. 1.Department of Electrical and Computer EngineeringThe University of Texas at AustinAustinUSA

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