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The stability of a special class of nonlinear Volterra integro-differential systems are analyzed by comparing them to linear Volterra integro-differential systems. The results are used to determine the stability properties of recurrent neural networks with distributed delays, including constant discrete delays as a special case. The obtained stability criteria have unified and extended many existing results on recurrent neural networks.
This monograph presents new theories and methods for fixed-time cooperative control of multi-agent systems. Fundamental concepts of fixed-time stability and stabilization are introduced, and solutions are presented for several problems of fixed-time cooperative control.
treatment, and measurement of industrial processes.
The neural-network (NN)-based output-feedback control is considered for a class of stochastic nonlinear systems under round-Robin (RR) scheduling protocols. For the purpose of effectively mitigating data congestions and saving energies, the RR protocols are implemented and the resulting nonlinear systems become the so-called protocol-induced periodic ones. Taking such a periodic characteristic into account, an NN-based observer is first proposed to reconstruct the system states where a novel adaptive tuning law on NN weights is adopted to cater to the requirement of performance analysis. In addition, with the established boundedness of the periodic systems in the mean-square sense, the desired observer gain is obtained by solving a set of matrix inequalities. Then, an actor-critic NN scheme with a time-varying step length in adaptive law is developed to handle the considered control problem with terminal constraints over finite-horizon. Some sufficient conditions are derived to guarantee the boundedness of estimation errors of critic and actor NN weights. In view of these conditions, some key parameters in adaptive tuning laws are easily determined via elementary algebraic operations. Furthermore, the stability in the mean-square sense is investigated for the discussed issue in infinite horizon. Finally, a simulation example is utilized to illustrate the applicability of the proposed control scheme.
This chapter investigates the effect of a time-delay on dynamic output feedback control of an offshore steel jacket platform subject to a nonlinear wave-induced force. First, a conventional dynamic output feedback controller is designed to reduce the internal...
This note is concerned with robust H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> control of linear networked control systems with time-varying network-induced delay and data packet dropout. A new Lyapunov-Krasovskii functional, which makes use of the information of both the lower and upper bounds of the time-varying network-induced delay, is proposed to drive a new delay-dependent H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> stabilization criterion. The criterion is formulated in the form of a non-convex matrix inequality, of which a feasible solution can be obtained by solving a minimization problem in terms of linear matrix inequalities. In order to obtain much less conservative results, a tighter bounding for some term is estimated. Moreover, no slack variable is introduced. Finally, two numerical examples are given to show the effectiveness of the proposed design method.
This paper is concerned with the problem of model reference tracking control for a class of linear networked control systems (NCSs) in which a controlled plant is connected to an observer-based controller via a communication network. In the presence of network-induced delays and packet dropouts in the sensor-to-controller and controller-to-actuator connections, the inputs of the plant and the controller are updated in an asynchronous way. In this case, the resulting NCS is equivalent to a linear system with two interval time-varying delays. A sufficient stability condition that ensures the NCS with an H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> tracking performance is derived by using a Lyapunov Krasovskii functional approach. Due to the asynchronous input errors, a separation principle cannot be used to design the observer-based controller. A novel design algorithm of tracking control is presented by using the stability condition and a particle swarm optimization (PSO) technique. The effectiveness of the algorithm is illustrated by a numerical example.
This article is concerned with robust stability for linear impulsive delay systems with polytope uncertainties. For the linear impulsive delay systems without uncertainties, the stability is addressed by employing a Lyapunov‐Krasovskii‐like functional, which is comprised of a Lyapunov‐Krasovskii functional and an auxiliary functional. By introducing integrals of the state, an augmented Lyapunov‐Krasovskii‐like functional is constructed. With an integral inequality proposed to deal with the derivative of the Lyapunov‐Krasovskii‐like functional, a stability criterion is derived for the impulsive delay system. Then the stability criterion is extended to linear impulsive delay systems with polytope uncertainties, and a robust stability criterion is obtained. Examples are given to illustrate the stability results are valid or of less conservatism than some existing ones.
This paper investigates the stability and stabilization of networked control systems under simultaneous consideration of control system performance and network dynamics. By constructing an information dispatching middleware, a framework of networked control systems is established. In terms of the middleware, a novel event-triggered scheme is developed to regulate the transmission of the sampled data by considering network dynamics. The main feature of the scheme is that the released sampled data is not only determined by the current control system state, and the error between the current data and the latest transmitted state of the control system, but also by the current state of the network dynamics. An augmented system of the proposed framework is formulated based on a fluid-flow model. By using Lyapunov-Krasovskii functional approach, sufficient conditions are derived for system analysis and synthesis, respectively. Under the proposed framework, a tradeoff is provided to balance the utilization of communication resources and the desired performance of the control systems. Finally, a numerical example is given to illustrate the merits and effectiveness of this proposed framework.
This chapter is concerned with the design of robust H ∞ controllers and H ∞ filters for uncertain networked control systems (NCS) with the effects of both the network-induced delay and data dropout taken into consideration. A new...
LSMS 2021 and ICSEE 2021 proceedings on life system modeling and simulation, and intelligent computing for sustainable energy and environment.
This paper investigates the problem of H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> control for offshore structures with persistent disturbances. The time delay is introduced into the controller as a positive factor to counteract the persistent disturbances, such as wind and wave loads. Using Lyapunov stability theory and an integral matrix inequality, a new bounded real lemma is derived and, based on this, an H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> controller with input delay for the system is designed. Finally, a numerical example is given to demonstrate effectiveness of the proposed methods
This book introduces the latest techniques and methods for distributed control and optimization of networked microgrids
This article addresses the problem of cluster consensus for multiagent systems (MASs) associated with weighted antagonistic interactions. Compared with some existing results, a general communication topology among agents is introduced in this article, where there is no need to confine directed cycles to the root of a spanning tree. By taking into consideration the structures of directed cycles and multiple paths, the judgment of structural balance is simplified significantly. A novel cluster consensus protocol is also proposed for structurally unbalanced digraphs. Moreover, two necessary and sufficient conditions are derived, by which cluster consensus can be achieved in an MAS if and only if its communication topology contains a directed spanning tree. Then, by employing an algebra theorem, a sufficient criterion for the unstable system under a directed cycle is obtained, whether the number of agents on this cycle is odd or even. Some illustrative examples are given to demonstrate the effectiveness of theoretical results.
