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This paper investigates the generalized nonlinear resilient H∞ filter design problem for discrete-time systems with uncertain and nonlinear parameters. The uncertain parameters are assumed to have norm-bounded form and the nonlinear parameters are assumed to have Lipschitz form. We aim to design a generalized nonlinear resilient H∞ filter such that the stability and the H∞ performance of filtering...
A robust fault estimation (FE) method is proposed for Lipschitz nonlinear Markov jump system (MJS) based on unknown input observer (UIO). Firstly, the robust UIO is designed under the unknown input and output noise. Then the state estimation error system is established by combining the observer estimated states with real system states. When the error system is stable, the system states and the actuator...
Robust finite-time (FT) stabilization of uncertain continuous-time singular systems is of concern in this paper. By adopting a Lyapunov-like functional (LLF) and the finite-time stability (FTS) technique, the linear matrix inequality (LMI)-based conditions are derived for uncertain continuous-time singular systems to be stabilizable. Then, based on solving these LMIs, a FT H-infinite state feedback...
A robust model predictive control approach for a class of uncertain continuous systems with nonlinear disturbance and state-delay is proposed. The designed robust controller guarantees the closed-loop system asymptotically stable and the receding horizon performance index online minimum. Based on receding optimization principle of predictive control, the infinite time domain optimization problem is...
This paper studies a formation control problem for multiple mobile robot systems with model uncertainty. The formation is achieved by a distributed robust predictive control algorithm. Firstly, a distributed model of the formation system is derived by using the path tracking error dynamic of single mobile robot. Considering the error of linearization and measurement error caused by the accelerometer...
This paper investigates the type-2 T-S fuzzy multiple feedback-loop guaranteed cost controller design for uncertain singular systems with transmission and state delays. Based on the type-2 T-S fuzzy theory, this work constructs a mathematical model for a class of nonlinear uncertain singular time-delay systems. Using the parallel distributed compensation concept with Lyapunov theory and linear matrix...
This paper deals with a design problem of variable gain robust model following/tracking control for a class of uncertain linear systems. The new proposed variable gain robust control system is composed of fixed gain controllers and variable ones. In this paper, LMI-based sufficient conditions for the existence of the proposed variable gain robust controller are given. Finally, a simple numerical example...
A simple but versatile approach to robust control design for linear systems with system and exogenous disturbances is proposed. The proposed approach is based on the technique of linear matrix inequalities and the concept of invariant ellipsoids. The approach is easily implemented computationally, its efficacy is demonstrated on the benchmark example of the F-16 aircraft model.
Lately, it has been developed many studies related to the control of uncertain systems, one reason for this studies is because it is hard to precisely describe a system, therefore the process is expressed as uncertain systems. One way to represent an uncertain system is by describing the model as a convex combination of several knownmodels. In this paper a state feedback controller is designed for...
In this paper, we study the fault detection filter (FDF) design problem for linear discrete time-varying (LDTV) systems with model uncertainties and norm bounded unknown inputs. An alternative indefinite quadratic performance criterion is introduced in lieu of the standard H∞ performance, and the design issue is converted to an optimization problem of finding the positive minimum of the new defined...
In this paper, the H∞ filtering problem for singular stochastic systems with Brownian motions is studies. The design of singular H∞ filter is focused such that the filtering error system is asymptotically mean square admissible and meet prescribed H∞ performance level. For design purpose, the existence condition of the proposed singular H∞ filter is formulated according to the linear matrix inequality...
This paper deals with robust static output control of both differential and discrete linear repetitive processes. Extended linear matrix inequality characterizations of the stability conditions are first introduced to reduce conservatism of known results and transform to the form suitable for static output controller synthesis and robust control. The design of static output controller is performed...
In this paper, the system decoupling problem has been investigated and a novel decoupling control strategy is presented for Lipschitz nonlinear uncertain multivariable systems. This control strategy consists of an explicit parametric state feedback controller and a linear state observer, where the free parameters of the controller can be adjusted to attenuate the coupling effects. In addition, the...
Disturbance Feedback Control (DFC) is a control technique that augments robustness of existing control systems with an extra feedback loop for the purpose of attenuation of disturbances and model errors. In this work, we propose a DFC design method based on output feedback control via Linear Matrix Inequalities (LMIs). A parametric uncertainty model is used to represent mismatches between a nominal...
This paper presents a novel approach for an interval-based gain scheduling control design aiming at a guaranteed stabilization of the system dynamics over a predefined time horizon. Due to the goal of asymptotic stability, the design aims at the temporal reduction of the widths of intervals representing worst-case bounds of the system states at a specific point of time. The main idea of the control...
This paper addresses the design problem of robust scaled-H∞ controllers composed of state observers and state-feedback controllers for polytopic systems with time-invariant parameters. Even when designing robust H∞ controllers for time-invariant polytopic systems, multiple uncertainty blocks are often introduced to represent various design requirements, in particular, frequency domain requirements...
This paper is concerned with the variable structure control problems for Markovian jump T-S fuzzy descriptor systems with mode-dependent derivative-term coefficient. A new integral sliding mode control strategy is firstly proposed for Markovian jump T-S fuzzy descriptor systems with mode-dependent derivative-term coefficient. It is shown that although the state variables of the Markovian jump T-S...
The problem of delay-dependent observer-based robustly passive control is addressed for neutral type descriptor Markov jump systems with time-varying delays. The parameter uncertainties of the system are assumed unknown and norm-bounded. Using Lyapunov-Krasovskii functional method and weighted matrix, a delay-dependent robustly passive condition for closed-loop system is given. Then, the sufficient...
This paper investigates the problem of robust output feedback stabilization of uncertain Hamiltonian systems with saturating actuator and input delay. The uncertainties are assumed to be time invariant and belong to convex bounded polytopic domain. By employing Lyapunov-Krasovskii functional method and Wirtinger's inequality, some sufficient conditions are derived for stabilization of nonlinear Hamiltonian...
A methodology of designing adaptive sliding mode controllers for a class of nonlinear systems with matched and mismatched perturbations is proposed in this paper. Firstly, A specific designed sliding surface function is presented, and the controller with adaptive mechanisms embedded is also designed in accordance with the designated sliding surface function. Secondly, the coefficients of designated...
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