Abstract
This paper considers the disturbance decoupling problem by the dynamic measurement feedback for discrete-time nonlinear control systems. To solve this problem, the algebraic approach, called the logic-dynamic approach, is used. Such an approach assumes that the system description may contain non-smooth functions. Necessary and sufficient conditions are obtained in terms of matrices similar to controlled and ( h , f ) -invariant functions. Furthermore, procedures are developed to determine the corresponding matrices and the dynamic measurement feedback.
Highlights
The dynamic disturbance decoupling problem (DDDP) for nonlinear dynamic systems has been addressed in a few papers [1,2,3,4,5,6,7], while hybrid systems and finite automata have been considered in [8,9]
This paper deals with the DDDP for dynamic systems
The advantage of the logic-dynamic approach (LDA) is that the system under consideration may contain non-smooth nonlinearities such as Coulomb friction, backlash, and saturation
Summary
The dynamic disturbance decoupling problem (DDDP) for nonlinear dynamic systems has been addressed in a few papers [1,2,3,4,5,6,7], while hybrid systems and finite automata have been considered in [8,9]. Note that the controller is designed to be a suitable subsystem of the original system and the initial state of the compensator has to be chosen in accordance with that of the system This type of controller reduces the dimension of the closed-loop system compared, for example, with those in [1,2,5] and has contact points with the ‘regular interconnection’ as addressed in [12]. It is known that the extensions of the differential geometric tools for discrete-time systems are not as well developed and universally accepted as those for continuous-time systems To overcome this difficulty, it is suggested to solve the DDDP on the basis of the so-called logic-dynamic approach (LDA). Symmetry 2019, 11, 555 non-smooth nonlinearities for continuous-time as well as for discrete-time systems; the problem of probabilistic decoupling [15] can be solved based on the LDA
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