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robust h_∞ control for aseismic structures with uncertainties in model parameters

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Earthquake Engineering and Engineering Vibration 2007年第4期6卷 409-416页

作者：宋刚林家浩赵岩 W. Paul howson Fred W Williams State Key Laboratory of Structural Analysis for Industrial Equipment Faculty of Vehicle Engineering and Mechanics Dalian University of Technology Cardiff School of Engineering Cardiff University Cardiff CF24 3AA Wales U.K.

This paper presents a robust h∞ output feedback control approach for structural systems with uncertainties in model parameters by using available acceleration measurements and proposes conditions for the existence of such a robust output feedback controller. The uncertainties of structural stiffness, damping and mass parameters are assumed to be norm-bounded. The proposed control approach is formulated within the framework of linear matrix inequalities, for which existing convex optimization techniques, such as the LM1 toolbox in MATLAB, can be used effectively and conveniently. To illustrate the effectiveness of the proposed robust h∞ strategy, a six-story building was subjected both to the 1940 E1 Centro earthquake record and to a suddenly applied Kanai-Tajimi filtered white noise random excitation. The results show that the proposed robust h∞ controller provides satisfactory results with or without variation of the structural stiffness, damping and mass parameters.

关键词： structural control robust h∞ control linear matrix inequality dynamic output feedback parameter uncertainty seismic excitation

robust h_∞ control for uncertain descriptor systems with state and control delay

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Journal of Systems Engineering and Electronics 2006年第3期17卷 571-575页

作者： Piao Fengxian Zhang Qingling Ma Xiuzhen Inst. of System Science Northeastern Univ. Shenyang 110004 P. R. China Shenyang Inst. of Aeronautical Engineering Shenyang 110034 P. R. China

The problem of robust stabilization for uncertain continuous descriptor system with state and control delay is considered. The time-varying parametric uncertainty is assumed to be norm-bounded. The purpose of the robust stabilization is to design a memoryless state feedback law such that the resulting closed-loop system is robustly stable A sufficient condition that uncertain continuous descriptor system is robustly stabilizabled by state feedback law is derived in terms of linear matrix inequality （LMI）. Finally, a numerical example is provided to demonstrate the application of the proposed method.

关键词： robust h∞ control descriptor system delay feedback control linear matrix inequality (LMI).

robust h∞ control for Uncertain Continuous-time Singular Systems with Circular Pole Constraints

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Robust H∞ Control for Uncertain Continuous-time Singular Sy...

第26届中国控制与决策会议

作者： MENG Lingqi GE Zhaoqiang Department of Applied Mathematics Xi’an Jiaotong University

ISBN: (纸本)9781479937066

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. At last, on the notion of quadratic d stablizability with an h∞norm-bound, we gain the state feedback controllers for uncertain singular systems such that the closed-loop singular systems are regular and impulse-free, and the closed-loop poles are located within a preassigned circular region, and the h∞norm-bound of the closed-loop transfer function matrix is strictly less than a given positive constant for all admissible uncertainties.

关键词： Uncertain Continuous-time Singular System Quadratic d Stablizability with an h∞ Norm-bound Circular Pole constraints robust h∞ control

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

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Journal of Systems Engineering and Electronics 2009年第2期20卷 354-362页

作者： Gong Cheng Su Baoku Coll. of Nuclear Science and Technology Harbin Engineering Univ. Harbin 150001 P. R. China Space control and Inertial Technology Research Center Harbin Inst. of Technology Harbin 150001 P. R. China

The robust h∞ control problem of norm bounded uncertain discrete Takagi-Sugeno （T-S） fuzzy systems 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 hoo controller design scheme is developed in term of a convex algorithm. Finally, examples are given to illustrate the effectiveness of the proposed method.

关键词： discrete T-S fuzzy control delay-dependent robust h∞ control basis-dependent Lyapunov-Krasovskii function

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

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Journal of Systems Engineering and Electronics 2008年第6期19卷 1191-1198页

作者： Gong Cheng Su Baoku Dept. of control Theory and control Engeering Harbin Inst. of Technology Harbin 150001 P. R. China

The robust h∞ control problem for a class of uncertain Takagi-Sugeno fuzzy systems with timevarying 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.

关键词： robust h∞ control delay-dependent polyhedral uncertainty fuzzy systems

Improved Results on robust h_∞ control of Uncertain Discrete-time Systems with Time-varying Delay

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International Journal of Automation and computing 2009年第1期6卷 103-108页

作者： Yong-Gang Chen Wen-Lin Li Department of Mathematics Henan Institute of Science and Technology Xinxiang 453003 PRC College of Mathematics and Information Science Henan Normal University Xinxiang 453007 PRC

In this paper, the robust h∞ control problem for uncertain discrete-time systems with time-varying state delay is con- sidered. Based on the Lyapunov functional method, and by resorting to the new technique for estimating the upper bound of the difference of the Lyapunov functional, a new less conservative sufficient condition for the existence of a robust h∞ controller is obtained. Moreover, the cone complementary linearisation procedure is employed to solve the nonconvex feasibility problem. Finally, several numerical examples are presented to show the effectiveness and less conservativeness of the proposed method.

关键词： robust h∞ control discrete-time systems time-varying delay linear matrix inequalities (LMIs).

robust h∞ control for Vehicle Path Tracking Subject to Delay and Actuator Saturation

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Robust H∞ Control for Vehicle Path Tracking Subject to Dela...

第32届中国控制与决策会议

作者： Changfang Chen Minglei Shu Ruixia Liu Nuo Wei Shandong Computer Science Center(National Supercomputer Center in Jinan) Shandong Provincial Key Laboratory of Computer NetworksQilu University of Technology(Shandong Academy of Sciences)

This paper presents a robust h path tracking control strategy for autonomous vehicles considering the network-induced delay and actuator *** unavoidable time delay and actuator saturation will degrade the control effect,and even deteriorate the system stability.A robust h state-feedback controller is proposed to achieve the desired path tracking and vehicle lateral control *** control gain matrix can be obtained by solving the linear matrix inequalities(LMIs) and the corresponding closed-loop system is asymptotically stable with a guaranteed h performance *** uncertainty effects of the vehicle velocity variation and external disturbances are considered in the control *** are carried out to show the effectiveness of the proposed control approach.

关键词： Vehicle Dynamics Path Tracking robust h∞ control Time Delay Saturation

robust h∞ control of Random Network Systems with Uncertainty and Probabilistic Sampling

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Robust H∞ Control of Random Network Systems with Uncertaint...

第24届中国控制与决策会议

作者： huaiqing Yang College of Information Science and Engineering, Shanxi Agricultural University

In this paper, the problem of robust h∞ control of network is investigated for a class of sampled-data stochastic system with parameter uncertainties. It is assumed that the parameter uncertainties are time-varying norm-bounded. The occurrence probabilities of the sampling intervals are given constants and the sampling periods satisfy Bernoulli distribution. By converting probabilistic sampling into time-varying delays, the concerned system is transformed into a continuous time-delay system. Then, sufficient conditions are derived to ensure the exponential mean-square stability of the system as well as the h∞ norm is less than a given level. Furthermore, the expression of desired controller is obtained in terms of linear matrix inequalities. Finally, a illustrative example is exploited to show the effectiveness of the theoretical results.

关键词： robust h∞ control network systems probabilistic sampling time-varying delay

robust h∞ control for Uncertain Singularly Perturbed Systems with Time-delay

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Robust H∞ Control for Uncertain Singularly Perturbed System...

第36届中国控制会议

作者： LIU Lei LU Shaoying hAN Cunwu CAO Jing Beijing Key Laboratory of Fieldbus Technology and Automation North China University of Technology

In this paper, we study the problem of robust h control for a class of the time-delay singularly perturbed systems with norm-bounded parameters and uncertain parameters. The sufficient conditions for the existence of h robust controllers are given based on the matrix inequality, so that the closed-loop system is robust to all admissible uncertainties and satisfies hperformance index. Furthermore, the controller design method is presented in the form of LMI for the case where the controller has an additive uncertainty. Finally, one example is given to illustrate the correctness of the results.

关键词： Singularly perturbed system parameter uncertainty robust h∞ control LMI