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Design of Optimal Control Systems with Bounded Control Signals
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2001 (English)In: Proceedings of the 2001 European Control Conference, IEEE , 2001, 348-353 p.Conference paper (Refereed)
Abstract [en]

The design of optimal controllers for systems subject to hard bounds on the control signal is considered. Optimality refers to the fact that we achieve the smallest possible worst case error (i.e. difference between reference signal and plant output) during runtime. The external reference signal is bounded in amplitude and rate, which encounters for many practical situations. Moreover, a conservative design is avoided by these assumptions. The resulting constrained and infinite dimensional optimisation problem is re-casted to an unconstrained and finite dimensional one by applying the notion of Pareto-optimal solutions and Ritz approximation. Moreover, the presented framework allows to assess feasibility of the constraint control problem, and to display the tradeoff between the two objectives. A simulation example illustrates the developed theory.

Place, publisher, year, edition, pages
IEEE , 2001. 348-353 p.
Keyword [en]
Constraint control, Saturation avoidance, Hard bounds, Optimal control systems, Youla parameterisation
National Category
Engineering and Technology Control Engineering
URN: urn:nbn:se:liu:diva-90803ISBN: 978-3-9524173-6-2OAI: diva2:616418
2001 European Control Conference, 4-7 September 2001, Porto, Portugal
Available from: 2013-04-16 Created: 2013-04-07 Last updated: 2015-07-20

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