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The paper investigates the output-feedback control problem for a more general class of stochastic nonlinear systems with stochastic integral input-state stability (SiISS) inverse dynamics driven by noise of unknown covariance. With the aid of stochastic LaSalle theorem, small-gain type conditions and backstepping technique, an adaptive output-feedback controller is successfully constructed to render...
This paper is concerned with the design problem of multi-sensor optimal H∞ fusion controller for a class of discrete-time systems with missing measurements. Based on Lyapunov theory and linear matrix inequality technology, the centralized and distributed fusion controllers are designed, respectively such that, for all possible missing measurements, the closed-loop systems are asymptotically stable...
This paper focuses on integral sliding mode output control for linear delta operator systems with insensitivity to sampling time jitter in the case of small sampling times along with unmatched disturbances. A delta-domain integral sliding mode sector can be reached without chattering by employing a novel reaching law to avoid the inherent numerical ill-condition resulting from using the traditional...
This paper focuses on the problem of the robust H∞ control with circular pole constraints in uncertain singular systems. Firstly, the concept of quadratic d stablizability with an H∞ norm-bound is introduced for the uncertain continuous-time singular system. Secondly, the robust H∞ control problem is solved in the uncertain continuous-time singular systems, on the basis of circular pole constraints...
Improved state coordinates transformations are used to design static and reduced-order dynamical stabilizers for linear time invariant (LTI) system. Free variable matrices are proposed in the transformations to stabilize pivotal submatrices of new state space representations. The stabilizers can be determined if corresponding linear matrix inequalities (LMIs) are feasible.
For a class of solvable T-S fuzzy descriptor system with delayed state and saturating input, delay-independent and delay-dependent, stability conditions are correspondingly established using Lyapunov-Krasovskii approach. The stability domain may be enlarged by applying a fuzzy anti-windup compensator to the considered system, and the problem of solving stability domain can be cast into the convex...
This paper studies optimal control designs for networked linear discrete-time systems with quantization effects and/or fading channel. The quantization errors and/or fading channels are modeled as multiplicative noises. The H2 optimal control in mean-square sense is formulated. The necessary and sufficient condition to the existence of the mean-square stabilizing solution to a modified algebraic Riccati...
This paper is concerned with the problem of quantized H∞ control for discrete-time networked control systems (NCSs) with random communication delays and packet dropouts. By choosing appropriate Lyapunov functional, sufficient conditions for the existence of quantized H∞ controller is derived, such that the closed-loop discrete-time networked control systems is robustly asymptotically mean-square stable...
A new and simple method is proposed to design the P-D feedback controller for continuous-time descriptor systems in this paper. The original system is turned into a normal system by using a linear transformation. Based on the control theory and variable substation method, the bilinear inequality is changed to the linear matrix inequality (LMI). With this method, the LMI conditions and P-D feedback...
In this paper, we solve a leader-following problem for second-order integrator systems using only binary relative position and velocity measurements. The leader is allowed to be dynamically evolving with a bounded acceleration which is unknown to any of the followers. By properly choosing the control gains, we prove that despite the fact that only very coarse relative information is available, the...
This paper investigates the decentralized output-feedback control for a class of large-scale high-order stochastic nonlinear systems with unknown control coefficients. By developing a decentralized high gain homogeneous domination approach, it is shown that under some general conditions, the closed-loop system can be proved to be globally asymptotically stable (GAS) in probability. The efficiency...
This paper considers stabilization of periodic linear systems with time-varying input delays. The truncated predictor feedback (TPF) approaches established earlier for time-invariant systems are generalized to the time-varying setting. By carefully investigating the solutions and properties to a class of parametric Lyapunov differential equations, it is proved the TPF controllers can indeed stabilize...
This note addresses the problem of finite-time H∞ control for a class of extended Markovian jump systems. The stochastic process of given system is described by a Markovian chain, and the knowledge of transition jump rates is inaccurate. In this case, the theoretical results on finite-time boundedness, H∞ finite-time boundedness and finite-time H∞ state feedback stabilization, are developed, respectively...
This paper is concerned with the robust adaptive H∞ fault-tolerant control problem for linear systems with the mismatched parameter uncertainties, input channel and external disturbances, and actuator faults including loss of effectiveness, outage and stuck. Without requiring any fault detection and isolation mechanism, a novel adaptation law with a rather simpler structure is employed to estimate...
In this paper, we deal with the stabilization problem for a class of switched nonlinear systems in lower triangular form subject to constraints on the state. To prevent state from transgressing the constraints, we employ the ideal p-times differentiable unbounded functions, which grow to infinity when their arguments approach domain boundaries. Based on the backstepping technique, we propose a constructive...
This paper deals with the event-triggered control for two-dimensional discrete-time systems described in Fornasini-Marchesini (FM) second model. A distance-2 horizontal/vertical related event-triggering state transmission scheme was proposed, which is a non-trivial generalization of counterpart in 1D system case. Based on the 2D type event-triggering scheme, the problem of closed-loop stability with...
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