Performance bounds in linear control of unstable MIMO systems with pole location constraint |
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Authors: | Andr s A. Peters, Mario E. Salgado,Eduardo I. Silva |
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Affiliation: | aDepartment of Electronic Engineering, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile;bSchool of Electrical Engineering and Computer Science, The University of Newcastle, NSW 2308, Australia |
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Abstract: | This paper proposes a methodology to compute quadratic performance bounds when the closed loop poles of a discrete-time multivariable control loop are confined to a disk, centred at the origin, and with radius less than one. The underlying philosophy in this constraint is to avoid certain undesirable dynamic features which arise in quadratic optimal designs. An expression for the performance loss due to the pole location constraint is also provided. Using numerical examples, we show that the performance loss is compensated by an improved transient performance, specially visible in the control signals. |
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Keywords: | MIMO discrete time systems Unstable systems Optimal control Performance bounds Pole location constraint |
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