This paper studies feedback system with a state-feedback law with a ternary nonlinearity in the feedback loop. We propose a novel Lyapunov-based approach that takes advantage of a framework recently developed to asses...
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ISBN:
(纸本)9781728174471
This paper studies feedback system with a state-feedback law with a ternary nonlinearity in the feedback loop. We propose a novel Lyapunov-based approach that takes advantage of a framework recently developed to assess positivity of generalized piece-wise quadratic forms. Such an approach is used to compute piece-wise quadratic function as stability certificates of the non-linear system.
Abstraction-based synthesis techniques are limited to systems with moderate size. Thus to contribute towards scalability of these techniques, in this paper we propose a compositional abstraction-based synthesis for ca...
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作者:
Zhiteckii, L.S.Solovchuk, K.Yu.Division of Technical Sciences
Department of International Research and Training Center of Information Technologies Systems of National Academy of Sciences of Ukraine Ministry of Education and Science of Ukraine Kiev Ukraine
The pseudoinversion method as a unified method for controlling linear and some classes of nonlinear multivariable discrete-time static objects to reject unmeasurable bounded disturbances in the presence of uncertainti...
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The pseudoinversion method as a unified method for controlling linear and some classes of nonlinear multivariable discrete-time static objects to reject unmeasurable bounded disturbances in the presence of uncertainties is considered. Sufficient conditions for robust stabilizability of certain classes of controlsystems implementing this method are established. Results of simulation experiments are given to support the theoretical studies.
Output stabilizability conditions for some classes of discrete-Tune linear and nonlinear controlsystems are formulated by using dynamic controllers. Methods for constructing static and d\nainic controllers that provi...
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This paper deals with stability analysis of discrete-time linear systems involving finite quantizers on the input of the controlled plant. Two kinds of quantization are analyzed: uniform and logarithmic. Through LMI-b...
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This note addresses the problem of robust stabilization of discrete-time switched Linear Parameter-Varying (LPV) systems, where each mode depends on time-varying parameters in a polytope. The aim is to ensure robust s...
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ISBN:
(纸本)9798350382662;9798350382655
This note addresses the problem of robust stabilization of discrete-time switched Linear Parameter-Varying (LPV) systems, where each mode depends on time-varying parameters in a polytope. The aim is to ensure robust stabilization and a bound on the decay rate of the closed-loop trajectories. This is achieved by jointly designing switching rules and fixed-order output feedback controllers by means of Lyapunov-Metzler (LM) inequalities with multiple quadratic Lyapunov functions. The novelty of this work lies on rewriting the LM conditions in an appropriate way that can be solved by an iterative procedure based on linear matrix inequalities. This approach eliminates the need for grid-based procedures, which are commonly used to solve LM inequalities. Numerical experiments are conducted to validate the effectiveness and efficiency of the proposed method.
Tracking controllers are often integrated into controlsystems to ensure robustness against uncertainties and disturbances during trajectory following maneuvers, where the design methods in the literature lack formal ...
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ISBN:
(纸本)9798350382662;9798350382655
Tracking controllers are often integrated into controlsystems to ensure robustness against uncertainties and disturbances during trajectory following maneuvers, where the design methods in the literature lack formal guarantees, can be applied only to limited classes of systems, and/or suffer from conservatism. In this paper, we propose a new tracking control approach for discrete-time nonlinear uncertain systems using set-based computations. In particular, we compute zonotopic backward reachable sets along prescribed nominal trajectories, and utilize such sets to synthesize tracking controllers that ensure safety and reachability in the presence of input/state constraints and disturbances. We illustrate our approach through two numerical examples (Dubin's car and planar quadrotor).
The paper investigates fully distributed cooperative control for discrete-time multi-train systems, focusing on managing transient constraints on position differences between neighboring trains, as well as on individu...
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This paper introduces a novel approach to the optimal control of linear discrete-timesystems subject to bounded disturbances. Our approach is based on the newly established duality between ellipsoidal approximations ...
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ISBN:
(纸本)9798350382662;9798350382655
This paper introduces a novel approach to the optimal control of linear discrete-timesystems subject to bounded disturbances. Our approach is based on the newly established duality between ellipsoidal approximations of reachable and hardly observable sets. We provide exact solutions for state-feedback control and filtering problems, aligning with existing methods while offering improved computational efficiency. Moreover, our main contribution is the optimal solution to the output-feedback control problem for discrete-timesystems which was not known before. Numerical simulations demonstrate the superiority of this result over previous sub-optimal ones.
This paper introduces a feedback and feedforward iterative learning control (ILC) scheme for non-affine nonlinear systems featuring iteratively varying trail lengths. The random trail lengths lead to the loss of track...
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