A new design for pole assignment in complex plane regions is presented. Vectorial bounds for structured uncertainties such that the assigned poles remain in these regions are given. Application to the linear constrained regulator problem is achieved. This approach makes a link between the pole assignment procedure used for constrained control and su cient conditions established to check the positions of eigenvalues in the complex plane for a given matrix.
This paper solves the problem of controlling linear continuous-time systems subject to control signals constrained in magnitude (maybe asymmetrically). A controller design methodology is proposed, based on using an asymmetric Lyapunov function, that avoids the discontinuities in the control vector components resulting from the application of a piecewise linear control law previously proposed. The proposed method gives improved speed of convergence without discontinuities of the control vector components, respecting always the imposed asymmetric constraints. An example illustrates the approach.
We deal with the extension of the positive invariance approach to nonlinear systems modeled by Takagi-Sugeno fuzzy systems. The saturations on the control are taken into account during the design phase. Sufficient conditions of asymptotic stability are given ensuring at the same time that the control is always admissible inside the corresponding polyhedral set. Both a common Lyapunov function and piecewise Lyapunov function are used.
A new design for pole assignment in complex plane regions is presented. Vectorial bounds for structured uncertainties such that the assigned poles remain in these regions are given. Application to the linear constrained regulator problem is achieved. This approach makes a link between the pole assignment procedure used for constrained control and su cient conditions established to check the positions of eigenvalues in the complex plane for a given matrix.
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