Linear matrix inequalities for globally monotonic tracking control
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This paper addresses the problem of achieving monotonic tracking control for any initial condition (also referred to as global monotonic tracking control). This property is shown to be equivalent to global non-overshooting as well as to global non-undershooting (i.e., non-overshooting and non-undershooting for any initial condition, respectively). The main objective of this paper is to prove that a stable system is globally monotonic if and only if all the rows of the output matrix are left eigenvectors of the space transition matrix. This property allows one to formulate the design of a controller which ensures global monotonic tracking as a convex optimization problem described by a set of Linear Matrix Inequalities (LMIs).
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Garone, Emanuele; Ntogramatzidis, Lorenzo; Ferrante, Augusto (2016)In this paper we consider the problem of achieving monotonic tracking control for multiple-input multiple-output (MIMO) linear time-invariant (LTI) systems, from any initial condition. First, we show that this property ...
Kazantzidou, C.; Ntogramatzidis, Lorenzo; Vardulakis, A.; Garone, E. (2015)In this paper we analyse the geometric properties of systems in the controller canonical form. We show that using a technique based on the calculation of null-spaces of the Rosenbrock system matrix pencil facilitates the ...
Padula, Fabrizio; Ntogramatzidis, Lorenzo (2017)© 2017 IEEE. In this paper, we consider the problem of achieving monotonic tracking control for any initial condition (also referred to as global monotonic tracking control). The main result of this paper is to show that ...