Catalogue Search | MBRL
Are you sure you want to remove the book from the shelf?
{{itemTitle}}
7,310
result(s) for
"Time delay systems."
Sort by:
Time-delay systems
This book comprehensively presents a recently developed novel methodology for analysis and control of time-delay systems. Time-delays frequently occurs in engineering and science. Such time-delays can cause problems (e.g. instability) and limit the achievable performance of control systems.
eBook
Stability Analysis and Robust Stabilization of Uncertain Fuzzy Time-Delay Systems
New sufficient conditions for delay-independent and delay-dependent robust stability of uncertain fuzzy time-delay systems based on uncertain fuzzy Takagi-Sugeno (T-S) models are presented by using the properties of matrix and norm measurements. Further sufficient conditions are formulated, in terms of the linear matrix inequalities (LMIs) of robust stabilization, and are developed via the technique of parallel distributed compensation (PDC), and then the simplification of the conditions for the controller design of uncertain fuzzy time-delay systems. The proposed methods are simple and effective. Some examples below are presented to illustrate our results.
Journal Article
Quantized neural adaptive finite-time preassigned performance control for interconnected nonlinear systems
In this article, the issue of neural adaptive decentralized finite-time prescribed performance (FTPP) control is investigated for interconnected nonlinear time-delay systems. First, to bypass the potential singularity difficulties, the hyperbolic tangent function and the radial basis function neural networks are integrated to handle the unknown nonlinear items. Then, an adaptive FTPP control strategy is developed, where an improved fractional-order filter is applied to tackle the tremendous “amount of calculation” and eliminate the filter error simultaneously. Furthermore, by considering the impact of bandwidth limitation, an adaptive self-triggered control law is designed, in which the next trigger instant is determined through the current information. Ultimately, it can be demonstrated that the proposed control scheme not only guarantees that all states of the closed-loop system are semi-globally uniformly ultimately bounded, but also that the system output is confined to a small area in finite time. Two simulation examples are carried out to verify the effectiveness and superiority of the proposed method.
Journal Article
Discrete-time delay systems: part 1. Global fully actuated case
A basic introduction to the fully actuated system (FAS) approaches for discrete-time systems with delays is given. Firstly, general dynamical discrete-time FAS models with time-varying state delays and constant input delays are proposed. The FAS models are classified into affine ones and non-affine ones, and also ones with and without interconnections. Secondly, controllers for such FASs are designed, which result in constant linear closed-loop systems with arbitrarily assignable eigenstructure. Different from the case of FAS with state delays only, the controller for a discrete-time FAS with an input delay involves a prediction scheme which is constructed based on the open-loop system. The contribution of this paper has laid a fundamental basis for FAS approaches to discrete-time delay systems, and further specific analysis and design problems can be established similar to the continuous-time system case.
Journal Article
Fully actuated system approaches for continuous-time delay systems: part 1. Systems with state delays only
In this paper, the fully actuated system (FAS) approaches for continuous-time systems with time-varying state delays are proposed. Two types of continuous-time high-order FAS models with time delays: single-order time-delay FAS models and multi-order time-delay FASs, are proposed. Particularly, the type of sub-FASs that do not completely but partially satisfy the full actuation is investigated, and the sets of feasible points are defined. When the system states are constrained to the feasible set, a controller can be easily constructed for the sub-FAS such that the closed-loop system is a constant linear system with an arbitrarily assignable eigenstructure. In addition, it is demonstrated that the feasibility constraint can be transformed into a constraint on the initial values of the system, which vanishes when the system is a (global) FAS. Based on the unique control characteristic of the type of FAS models, the concepts of controllability and stabilizability of general dynamical time-delay systems are also proposed. The effect of the proposed theories is illustrated with examples.
Journal Article
Fully actuated system approaches for continuous-time delay systems: part 2. Systems with input delays
In this paper, the fully actuated system (FAS) approaches for continuous-time systems with time-varying state delays and a constant input delay are presented. Two types of continuous-time high-order FASs are proposed: single-order FASs with both state and input delays and multi-order FASs with both state and input delays. Controllers for both types of time-delay FASs are designed based on the full-actuation features of the systems. Unlike the case of FASs with state delays only, a prediction scheme is required and constructed for both types of FASs with input delays. Similar to the case of FASs with state delays only, constant linear closed-loop systems with arbitrarily assignable eigenstructures are also developed. Illustrative examples are provided to demonstrate the effect of the proposed theories.
Journal Article
Discrete-time delay systems: part 2. Sub-fully actuated case
In continuation to the first part of the paper, this second part further investigates the models and control of discrete-time sub-fully actuated systems with time-varying delays. Firstly, a new representation for general linear and nonlinear dynamical discrete-time fully actuated systems (FASs) with time-varying state delays and constant input delays is proposed, and the concept of sub-FAS is defined. The set of feasible points and the set of singular points for a sub-FAS are introduced. Secondly, like the global FAS case, controllers for a discrete-time sub-FAS can also be easily designed, which results in constant linear closed-loop systems with arbitrarily assignable eigenstructures, but unlike the global FAS case, a constraint must be added, which is expressed by the set of feasible points of the system and guarantees the realizability of the designed controllers. Finally, a general definition for controllable dynamical systems with time delays is given.
Journal Article
A FAS approach for stabilization of generalized chained forms: part 1. Discontinuous control laws
In this paper, a type of general nonholonomic systems is proposed, which contains both the Brockett’s two example systems, and their extended
n
-dimensional chained forms, as special cases. For the stabilization of such systems, a stabilizing controller is proposed based on the fully actuated system (FAS) approach, which is discontinuous at the origin but time-invariant when the open-loop system is time-invariant, and drives the feasible trajectories of the system to the origin exponentially. Furthermore, the proposed FAS approach is also extended to the sub-normal system case and the time-delay system case.
Journal Article
Almost sure stability and stabilization of variable dual switching time-delay systems
This article is concerned with the exponential almost sure stability and stabilization of variable dual switching time-delay systems (VDSTDSs). Firstly, a novel state-dependent switching strategy named minimum state expectation (MSE) is proposed. Under the MSE switching strategy, the VDSTDSs switch to the next Markov jump subsystem with a smaller state expectation. This switching approach fully considers the interaction between deterministic and stochastic switching signals, which is more general for VDSTDSs than dwell time, average dwell time, and persistent dwell time switching. Subsequently, considering the complex switching dynamics and delay dynamics, a mode-dependent Lyapunov-Krasovskii functional (LKF) that contains an exponential term and a triple integral term is constructed to balance the conservativeness and computational complexity. The generalized free-matrix-based integral inequality is used to estimate the integral term in the LKF derivative. Sufficient conditions are established in the form of linear matrix inequalities to ensure the delay-dependent exponential almost sure stability and stabilization of the VDSTDSs. Finally, a numerical example and a multi-loop networked control system model are provided to illustrate the effectiveness and applicability of the proposed methods.
Journal Article