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In this paper, we develop a direct adaptive control framework for MIMO linear uncertain systems with exogenous bounded disturbances. The proposed adaptive controller addresses adaptive stabilization. The framework is Lyapunovbased and the adaptive laws are characterized by Kronecker calculus. Finally, two numerical examples are provided.
In this paper, we develop a direct adaptive control framework for adaptive stabilization of the MIMO nonlinear uncertain systems, which can be represented as discrete-time normal form with input-to-state zero dynamics. The framework is Lyapunov-based and guarantees partial stability of the closed-loop systems, such that the adaptation of the feedback gain can stabilize the closed-loop system without...
This paper deals with the problem of robust guaranteed cost reliable control for a class of uncertain discrete-time linear systems with actuator failures. The parameter uncertainty in the state matrix is assumed to be time-unvarying norm-bounded. The purpose is to design a state feedback controller such that, for all admissible uncertainties as well as actuator failures occurring among the prespecified...
Using dimensional analysis and numerical optimisation techniques, an optimal method for tuning PID controllers for first order plus time delay systems is presented. Considering integral square error (ISE), integral absolute error (IAE) and integral time absolute error (ITAE) performance criteria, optimal equations for obtaining PID parameters are proposed. Simulation results show that the proposed...
In this paper is studied the robustness of a flat control. The DC-to-DC boost converter, largely studied in flat control theory, is used to show the low robustness of such kind of control when the system is subjected to parameter uncertainties. Two solutions are proposed to ameliorate the global robustness of the control. They are based on the addition of a linear controller on the nominal at controller.
This paper deals with the class of uncertain systems with multiple time-delays. The stability and stabibizability of this class of systems are considered. Their robustness are also studied when the norm bounded uncertainties are considered. LMIs Delay-dependent sufficient conditions for both stability and stabilizability and their robustness are established to check if a system of this class is stable...
In turning, the self-excited vibration, also called chatter, is undesirable as it gives rise to production problems. In this paper, in order to suppress chatter in the turning, the turning process is modeled as a two degree-of-freedom uncertain system. A piezoactuator, the structure of which is independent of the tool holder in the machine, is introduced for the regulation of the cutting tool displacement...
Terminal attractors are usually used to solve the finite time tracking problem. In this paper, a novel kind of finite time attractors, referred to as initial rectifying attractors, is proposed for solving the same problem. An initial rectifying attractor is chosen to form the switching function and the variable structure controller based on the initial rectifying sliding mode is developed for a class...
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