Abstract
In this chapter a state space formulation of the H ∞ optimal control problem is given. Assuming a finite interval of control, the problem of synthesizing a finite-interval H ∞ controller is converted into an optimization problem in which a parameter occurring in a boundary value problem needs to be maximized. An optimality condition for the maximization of this parameter is given. The proposed method makes use of the observer-based parametrization of all stabilizing controllers. An example is worked out.
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(1990). Synthesis of finite-interval H ∞ controllers by state space methods. In: Subrahmanyam, M.B. (eds) Optimal Control with a Worst-Case Performance Criterion and Applications. Lecture Notes in Control and Information Sciences, vol 145. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043626
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DOI: https://doi.org/10.1007/BFb0043626
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