Abstract: The dual formulation of the discrete-time mixed l₂/l₁ control design problem was achieved by using the duality theory of Lagrange multipliers. For some special dual mixed l₂/l₁ problems, an approximation method for the optimal value is introduced. A suboptimal value of the infinite-dimensional dual problem can be obtained by solving a sequence of truncated problems. The convergence property of the solution scheme is investigated. This paper gives a low approximation method for the primal problem.

Key words: mixed l2/l1 control, approximate analysis, lagrange multiplier theory

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