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This paper considers the problem of delay-dependent robust Hinfin control for switched systems with disturbance and time-varying structured uncertainties. Base on the Lyapunov function and Finslerpsilas lemma , we obtain the sufficient conditions which issure the switched systems are robust stabilization and has gamma robust performance under arbitrary switching laws. By Finslerpsilas lemma, some...
Observer-based robust Hinfin control for a class of Ito-type stochastic systems with parametric uncertainties is investigated in this paper. Observer-based controllers which guarantee the closed-loop augmented system robustly stochastically asymptotically stable in the mean square with prescribed Hinfin disturbance attenuation levels gamma for all admissible parametric uncertainties, are established...
This paper presents an Hinfin state feedback controller design method for discrete-time piecewise affine (PWA) systems based on a piecewise quadratic Lyapunov function, and the partition information of the PWA systems is taken into account to reduce the design conservatism. Each polytopic operating region is outer approximated by a union of ellipsoids, then the minimum problem of the Hinfin performance...
This paper considers the fault detection problem for networked control systems (NCSs) with both network-induced delay and data dropout. By transforming the NCS into a state-delay system, we can obtain a time-independent fault detection filter for the NCS, directly utilizing the fault detection methods for state-delay system. An observer-based fault detection filter (FDF) is firstly proposed for residual...
Based on T-S fuzzy model, piecewise fuzzy Lyapunov function (PFLF) is adopted in the analysis of the stability of the a class of uncertainty nonlinear systems by defining the fuzzy Lyapunov function in each overlapping rules. The PFLF makes use of the premise of rules and the membership functions of the system. The sufficient condition is expressed with LMI on stability and performance of nonlinear...
Robust Hinfin control for uncertain discrete time-delay systems with disturbances and nonlinear perturbations is studied. The delay is time varying. The uncertainties are norm bounded, and the nonlinear perturbations meet linear constraints. Based on Lyapunov-Krasovskii functional, two new delay-dependent results are presented in terms of matrix inequalities technique and nonlinear dealing method...
A novel robust Hinfin decentralized intelligent control (RHDIC) strategy is proposed for the trajectory following problem of robot manipulators. The proposed system is comprised of a computed torque controller and neural robust controller with new learning algorithm. Based on Lyapunov stability theorem, it is shown that the proposed controller can guarantee stability of closed-loop systems and satisfactory...
A novel robust Hinfin intelligent control (RHIC) strategy is proposed for the trajectory following problem of robot manipulators. The proposed system is comprised of a computed torque controller and neural robust controller. Based on Lyapunov stability theorem, it is shown that the proposed controller can guarantee Hinfin tracking performance of robotic system, in the sense that all variables of the...
For a class of discrete-time switched systems with disturbances the problems of robust stability and disturbance attenuation under arbitrary switching are studied for this class of systems. The sufficient conditions for the systems to be robustly stable with Hinfin disturbance attenuation gamma are presented by using the multiple Lyapunov function technique and common Lyapunov function technique ...
This paper investigates robust and non-fragile Hinfin controller design for the affine fuzzy large-scale systems, which are composed of a number of T-S affine fuzzy subsystems with interconnections. According to the Lyapunov direct method and the decentralized control theory of large-scale systems, a sufficient condition in the form of LMIs which guarantees the existence of state feedback Hinfin control...
In this study, the engine speed control algorithm is developed. The system augmented method based on the local linearized dynamic internal combustion engine model is presented for design of feedback controller without steady-state error. For multi-operating points local linearization of engine model the Takagi-Sugeno (T-S) fuzzy models with time-delay are presented, and the stability conditions are...
This paper is concerned with the problem of stability of linear time-delay systems. Firstly, a new approach, i.e. a delay decomposition approach, is proposed to deal with the problem. The idea of the approach is that the delay interval is uniformly divided into N segments with N a positive integer, and a proper Lyapunov-Krasovskii functional is chosen with different weighted matrices corresponding...
The design of robust Hinfin controller for a class of uncertain neutral systems with varying state delay and input control delay is considered. The uncertainties are norm-bounded and the states of the uncertain neutral systems are available. Combining the linear matrix inequality with Lyapunov functions by proper assumption, the existent conditions of quadratic stabilization and Hinfin state feedback...
This paper proposed a new approach to the stabilization analysis and Hinfin performance for a class of discrete nonlinear systems that are represented by a Takagi and Sugeno (T-S) fuzzy model. The main result given here concerns their Hinfin controller design using PDC-like control laws and nonquadratic Lyapunov functions. New relaxed conditions and linear matrix inequality-based design methods...
The problem of robust decentralized reliable Hinfin control is investigated for nonlinear uncertain interconnected systems with state time-varying delays. By conducting proper Lyapunov universal function, we present a group of linear matrix inequality(lIMs) which have the solution as sufficient conditions to stabilize the closed-loop system asymptotically and have the Hinfin property, giving the condition...
Based on the robust invariant set, Hinfin controller designing problem for uncertain discrete time-delay system with disturbance and input constraint is considered in this paper. At first, a state feedback controller was designed, when the disturbance belongs to a convex polytope, a control invariant set was derived based on the revised Lyapunov Krasovskii function, and inside this control invariant...
The design approach of robust Hinfin controller for network control system (NCS) with random time-delay is studied in this paper. The model problem is discussed firstly. With time-driven sensor and event-driven controller and actuator, supposing that the time-delay is less than one sampling period, the NCS is modeled as an uncertain discrete linear system with delay, based on the Lyapunov functional...
This paper considers delay-dependent decentralized Hinfin controller for a class of uncertain interconnected systems. The decentralized output feedback controllers are designed. Combining the Lyapunov-Krasovskii functional approach, the delay integral inequality of matrices and variable substitution, the delay-dependent sufficient conditions for the existence of robust decentralized Hinfin control...
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