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Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2000, Vol. 1 Issue (4): 370-376    DOI: 10.1631/jzus.2000.0370
Science & Engineering     
MIXED H2/l1 OPTIMIZATION PROBLEMS FOR SISO DISCRETE TIME CONTROL SYSTEMS
WU Jun, CHU Jian
National Laboratory of Industrial Control Technology, Institute of Advanced Process Control,Zhejiang University, Hangzhou, 310027, China
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Abstract  One purpose of this work is to establish the nominal description of mixed H2/l1 optimization problems evolving from mixed H2/l1 control problems for SISO discrete time systems. Some assumptions on mixed H2/l1 optimization problems are made. Another purpose of this work is to study the structure of the closure of feasible region for mixed H2/l1 optimization problems. The feasible region is the set of a map of a free parameter which is rational stable and satisfies some constraints. It is shown that the closure is exactly the set of the same map, where the free parameter is stable and satisfies the same constraints. It is convenient to describe mixed H2/l1 optimization problems with a stable free parameter. For mixed H2/l1 optimization problems with stable free parameter, the existence and uniqueness of the solution can be easily obtained.

Key wordsl1 control      H2 control      discrete time systems      closure     
Received: 08 December 1999     
CLC:  O224  
Cite this article:

WU Jun, CHU Jian. MIXED H2/l1 OPTIMIZATION PROBLEMS FOR SISO DISCRETE TIME CONTROL SYSTEMS. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2000, 1(4): 370-376.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2000.0370     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2000/V1/I4/370

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