Fault-tolerant control of linear uncertain systems using H∞ robust predictive control

The robust fault-tolerant control problem of linear uncertain systems is studied. It is shown that a solution for this problem can be obtained from a H∞ robust predictive controller (RMPC) by the method of linear matrix inequality (LMI). This approach has the advantages of both H∞ control and MPC: the robustness and ability to handle constraints explicitly. The robust closed-loop stability of the linear uncertain system with input and output constraints is proven under an actuator and sensor faults condition. Finally, satisfactory results of simulation experiments verify the validity of this algorithm.     

Robust H∞ control for networked control systems

The robust H∞ control for networked control systems with both stochastic network-induced delay and data packet dropout is studied.When data are transmitted over network,the stochastic data packet dropout process can be described by a two-state Markov chain.The networked control systems with stochastic network-induced delay and data packet dropout are modeled as a discrete time Markov jump linear system with two operation modes.The sufficient condition of robust H∞ control for networked control systems stabilized by state feedback controller is presented in terms of linear matrix inequality.The state feedback controller can be constructed via the solution of a set of linear matrix inequalities.An example is given to verify the effectiveness of the method proposed.     

Receding horizon H∞ control for constrained time-delay systems

A receding horizon H∞ control algorithm is presented for linear discrete time-delay system in the presence of constrained input and disturbances. Disturbance attenuation level is optimized at each time instant, and the receding optimization problem includes several linear matrix inequality constraints. When the convex hull is applied to denote the saturating input, the algorithm has better performance. The numerical example can verify this result.     

Robust H∞ controller design for sampled-data systems with parametric uncertainties

This article investigates the problem of robust H∞ controller design for sampled-data systems with time-varying norm-bounded parameter uncertainties in the state matrices. Attention is focused on the design of a causal sampled-data controller, which guarantees the asymptotical stability of the closed-loop system and reduces the effect of the disturbance input on the controlled output to a prescribed H∞ performance bound for all admissible uncertainties. Sufficient condition for the solvability of the problem is established in terms of linear matrix inequalities (LMIs). It is shown that the desired H∞ controller can be constructed by solving certain LMIs. An illustrative example is given to demonstrate the effectiveness of the proposed method.     

Delay-dependent robust H∞ control of convex polyhedral uncertain fuzzy systems

The robust H∞ control problem for a class of uncertain Takagi-Sugeno fuzzy systems with time-varying state delays is studied. The uncertain parameters are supposed to reside in a polytope. Based on the delay-dependent Lyapunov functional method, a new delay-dependent robust H∞ fuzzy controller, which depends on the size of the delays and the derivative of the delays, is presented in term of linear matrix inequalities (LMIs). For all admissible uncertainties and delays, the controller guarantees not only the asymptotic stability of the system but also the prescribed H∞ attenuation level. In addition, the effectiveness of the proposed design method is demonstrated by a numerical example.     

Delay-dependent robust H∞ control for uncertain discrete time-delay fuzzy systems

The robust H∞ control problem of norm bounded uncertain discrete Takagi-Sugeno (T-S) fuzzy tems with state delay is addressed. First, by constructing an appropriate basis-dependent Lyapunov-Krasovskii function, a new delay-dependent sufficient condition on robust H∞-disturbance attenuation is presented, in which both robust stability and prescribed H∞ performance are guaranteed to be achieved. Then based on the condition, a delay-dependent robust H∞ controller design scheme is developed in term of a convex algorithm. Finally, examples are given to illustrate the effectiveness of the proposed method.     

扑翼微型飞行器非线性H∞姿态控制

给出了扑翼微型飞行器姿态控制系统的数学模型,并提出了一种新颖的非线性H∞控制方法。飞行过程的复杂性使得姿态控制极具挑战性,主要困难是系统表现为非线性、时变参数以及各种干扰。为此提出了一种全局非线性H∞控制策略,系统控制综合是基于李亚普诺夫理论而非求解HJI偏微分方程。该方法克服了时变参数及未知干扰对系统的影响。证明了控制器的全局渐进稳定性并将其用于扑翼微型飞行器非线性H∞姿态控制系统的仿真,仿真结果验证了所提方法的有效性。     

Robust H_∞ Control of Robot Manipulator

１ＩｎｔｒｏｄｕｃｔｉｏｎＡｓｗｅｋｎｏｗ,ｂｅｃａｕｓｅｏｆｅｎｖｉｒｏｎｍｅｎｔａｌｃｏｎｄｉｔｉｏｎｓａｎｄｓｐｅｃｉａｌｄｅｓｉｇｎｄｅｍａｎｄｓ,ｒｏ－ｂｕｓｔｎｅｓｓｆｏｒｒｏｂｏｔｃｏｎｔｒｏｌｂｅｃｏｍｅｍｏｒｅａｎｄｍｏｒｅｉｍｐｏ...     

Macro-economic Model and Its H_∞ Control Strategies for Liaoning Province

1　ＩｎｔｒｏｄｕｃｔｉｏｎＣｏｎｓｉｄｅｒａｂｌｅｒｅｓｅａｒｃｈｅｓｈａｖｅｂｅｅｎｍａｄｅｏｎｍａｃｒｏｅｃｏｎｏｍｉｃｍｏｄｅｌｓｔｉｌｌｎｏｗ .Ｐｏｌｉｃｙｍａｋｅｒｓｕｓｕ ａｌｌｙｐｒｅｄｉｃｔａｎｄａｎａｌｙｚｅｅｃｏｎｏｍｉｃｓｉｔｕａｔｉｏｎ ,ｍａｋｅｅｃｏｎｏｍｉｃｄｅｃｉｓｉｏｎｓｂａｓｅｄｏｎｔｈｅｓｅｍｏｄｅｌｓ[1] .Ｔｅｃｈｎｉｑｕｅｓｕｓｅｄｉｎｄｅｃｉｓｉｏｎｐｒｏｂｌｅｍａｎｄｒｉｓｋｍａｎａｇｅｍｅｎｔｕｓｕａｌｌｙａｒｅｏｐｔｉｍａｌｒｅｇｕｌａｔｏｒｔｈｅ…     

H_∞ Control of a 5th- order Model of Synchronous Generators

1　IntroductionThe control of synchronous generators is one of the most important and widely studiedproblem in the area of power systems control.Such a problem is a non-trivial one,mainlybecause of the highly nonlinear behaviour of synchronous machines.As a matter of fact,their dynamic dramatically changes when passing from a working condition to another.Asa consequence,standard PID-based controllers can not guarantee high performances overthe entire working range.Among the various control a…     

A Family of Reliable H_∞ State-Feedback Controllers for Nonlinear Systems with Strictly Redundant Actuators: the Full Information Case

1　 IntroductionInherited from state space linear H∞ control theory,a number of nonlinear H∞ solutionshave been presented in terms of various formulations.The nonlinear H∞ control problemcan be stated as follows:find a compensator,either state feedback ormore general outputfeedback such that( 1 ) the internal state of the closed-loop system is stable and( 2 ) the L2 -gain of the mapping from the exogenous input disturbance to the controlled output liketracking error or cost variables is mi…     

The Robust H∞ Control of a Stochastic Inventory—Production System

1　 Introduction DealsMost inventory- production models assume that the demands are influenced by randomlyfluctuating environment.Under the assumption of probability distribution being known,many researches on inventory optimization and control problem ha…     

New Results on H∞ Control for Nonlinear Conformable Fractional Order Systems

This paper deals with H_∞ control problem for nonlinear conformable fractional order systems. The authors first derive new sufficient condition for exponential stability of nonlinear conformable fractional order systems based on Lyapunov-like function method for conformable fractional order systems and linear matrix inequalities(LMIs) approach. Then, by introducing a new concepts of H_∞ control problem for nonlinear conformable fractional order systems, the authors study H_∞ performance analysis and H_∞ state feedback controller design problems for the considered systems. In terms of LMIs, a sufficient condition is proposed to ensure the nonlinear conformable fractional order systems are not only exponentially stable, but also satisfy H_∞ performance γ. An explicit expression for state feedback controllers is also designed to make the closed-loop system is exponentially stable with H_∞performance γ. Finally, numerical examples are given to illustrate the validity and effectiveness of the proposed results.     

Neural network-based H∞ filtering for nonlinear systems with time-delays

A novel H∞ design methodology for a neural network-based nonlinear filtering scheme is addressed.Firstly,neural networks are employed to approximate the nonlinearities.Next,the nonlinear dynamic system is represented by the mode-dependent linear difference inclusion (LDI).Finally,based on the LDI model,a neural network-based nonlinear filter (NNBNF) is developed to minimize the upper bound of H∞ gain index of the estimation error under some linear matrix inequality (LMI) constraints.Compared with the existing nonlinear filters,NNBNF is time-invariant and numerically tractable.The validity and applicability of the proposed approach are successfully demonstrated in an illustrative example.     

Non-fragile decentralized H∞ controller design for uncertain linear systems

Considering the design problem of non-fragile decentralized H∞ controller with gain variations, the dynamic feedback controller by measurement feedback for uncertain linear systems is constructed and studied. The parameter uncertainties are considered to be unknown but norm bounded. The design procedures are investigated in terms of positive definite solutions to modify algebraic Riccati inequalities. Using information exchange among local controllers, the designed non-fragile decentralized H∞ controllers guarantee that the uncertain closed-loop linear systems are stable and with H∞ -norm bound on disturbance attenuation. A sufficient condition that there are such non-fragile H∞ controllers is obtained by algebraic Riccati inequalities. The approaches to solve modified algebraic Riccati inequalities are carried out preliminarily. Finally, a numerical example to show the validity of the proposed approach is given.     

Robust H∞ output feedback controller design for uncertain discrete-time switched systems via switched Lyapunov functions

The H∞ output feedback control problem for uncertain discrete-time switched systems is reasearched. A new characterization of stability and H∞ performance for the switched system under arbitrary switching is obtained by using switched Lyapunov function.Then,based on the characterization,a linear matrix inequality (LMI)approach is developed to design a switched output feedback controller which guarantees the stability and H∞ performance of the closed-loop system.A numerical example is presented to demonstrate the application of the proposed method.     

Delay-dependent decentralized H∞ filtering for uncertain interconnected systems

This article considers delay dependent decentralized H∞ filtering for a class of uncertain intercon nected systems,where the uncertainties are assumed to be time varying and satisfy the norm-bounded conditions.First,combining the Lyapunov-Krasovskii functional approach and the delay integral inequality of matrices,a sufficient condition of the existence of the robust decentralized H∞ filter is derived,which makes the error systems asymptotically stable and satisfies the H∞ norm of the transfer function from noise input to error output less than the specified up-bound on the basis of the form of uncertainties.Then,the above sufficient condition is transformed to a system of easily solvable LMIs via a series of equivalent transformation.Finally,the numerical simulation shows the efficiency of the main results.     

Robust H_∞ Control for Uncertain Markovian Jump Linear Time-Delay Systems

1 ＩＮＴＲＯＤＵＣＴＩＯＮＭａｒｋｏｖｉａｎｊｕｍｐｓｙｓｔｅｍｓａｒｅｄｅｆｉｎｅｄａｓａｆａｍｉｌｙｏｆｌｉｎｅａｒｓｙｓｔｅｍｓｗｉｔｈＭａｒｋｏｖｉａｎｊｕｍｐｐａｒａｍｅｔｅｒｓ.Ｔｈｉｓｃｌａｓｓｏｆｓｙｓｔｅｍｓ,ｗｈｉｃｈｗｅｒｅｉｎｉｔｉａｌｌｙｉｎｔｒｏｄｕｃｅｄｂｙＫｒａｓｏｒｋｉｉａｎｄＬｉｄｓｋｉｉｉｎｒｅｆｅｒｅｎｃｅ [1 ],ａｒｅａｌｗａｙｓｕｓｅｄｔｏｍｏｄｅｌｔｈｅｐｌａｎｔｓｗｈｏｓｅｓｔｒｕｃｔｕｒｅｉｓｓｕｂｊｅｃｔｔｏｒａｎｄｏｍｌｙａｂｒｕｐｔｃｈａｎｇｅ…     

Robust H_∞ Control with Exponent Stability for Time-Delay Uncertain Systems

1 .ＩＮＴＲＯＤＵＣＴＩＯＮＩｔｉｓｗｅｌｌ ｋｎｏｗｎｔｈａｔｔｈｅｓｔａｂｉｌｉｚａｔｉｏｎｏｆｔｈｅｓｙｓｔｅｍｓｗｉｔｈｔｉｍｅｄｅｌａｙｓｉｎｄｉｆｆｅｒｅｎｔｓｔａｔｅｓｉｓａｔｏｕｇｈｐｒｏｂｌｅｍｂｅ ｃａｕｓｅｔｈｅｔｉｍｅｄｅｌａｙｓｉｎａｓｙｓｔｅｍｍａｙｉｎｄｕｃｅａｎｉｎｓｔａｂｉｌｉｔｙｏｆｔｈｅｐｅｒｆｏｒｍａｎｃｅｓｏｆｔｈｅｃｌｏｓｅｄ ｌｏｏｐｓｃｈｅｍｅｓ.Ｔｈｅｒｅｆｏｒｅ,ｔｈｅｓｕｂｊｅｃｔｏｆｓｔａｂｉｌｉｔｙａｎｄｃｏｎｔｒｏｌｆｏｒｔｉｍｅ ｄｅｌａｙ…