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ON POLES AND ZEROS OF INPUT-OUTPUT AND CHAIN-SCATTERING SYSTEMS

IFAC Proceedings Volumes 2005年第1期38卷 348-353页

作者： Guangying Zhang Alexander Lanzon The Department of Control Science and Engineering Harbin Institute of Technology Harbin 150001 China Research School of Information Sciences and Engineering the Australian National University Canberra ACT 0200 Australia National ICT Australia Ltd. Locked Bag 8001 Canberra ACT 2601 Australia

A system is frequently represented by transfer functions in an input-output characterization. However, such a system (under mild assumptions) can also be represented by transfer functions in a port characterization, frequently referred to as a chain-scattering representation. Due to its cascade properties, the chain-scattering representation is used throughout many fields of engineering. This paper studies the relationship between poles and zeros of input-output and chain-scattering representations of the same plant.

关键词： Input-output representation chain-scattering representation poles zeros cascade connection

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Robust L1 filtering with pole constraint in a disk via parameter-dependent Lyapunov functions

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Journal of Systems engineering and Electronics 2005年第1期000卷

作者： Li Yanhui Wen Qiyong Wang Junling Wang Changhong Gao Huijun Department of Control Science and Engineering， Harbin Institute of Technology， Harbin 150001， P. R. China Electrical and Information Engineering College， Daqing Petroleum Institute， Daqing 163318， P. R. China Department of Control Science and Engineering， Harbin Institute of Technology， Harbin 150001， P. R. China

The problem of robust L1 filtering with pole constraint in a disk for linear continuous polytopic uncertain systems is discussed. The attention is focused on design a linear asymptotically stable filter such that the filtering error system remains robustly stable, and has a L1 performance constraint and pole constraint in a disk. The new robust L1 performance criteria and regional pole placement condition are obtained via parameter-dependent Lyapunov functions method. Upon the proposed multiobjective performance criteria and by means of LMI technique, both full-order and reducedorder robust L1 filter with suitable dynamic behavior can be obtained from the solution of convex optimization *** with earlier result in the quadratic framework, this approach turns out to be less conservative. The efficiency of the proposed technique is demonstrated by a numerical example.

关键词： robust filtering parameter-dependent Lyapunov function linear matrix inequality L1 performance pole placement technique

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A distributed fixed-step power control for time-varying systems

A distributed fixed-step power control for time-varying syst...

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IEEE International Conference on Communications (ICC)

作者： Huashui Zhang Chung Shue Chen Wing Shing Wong Information and Control Research Center Harbin Institute of Technology Shenzhen Graduate School Shenzhen China Department of Information Engineering Chinese University of Hong Kong Sha Tin Hong Kong China

This paper deals with a class of power control problems where the system link gains are assumed to be time varying and SIR estimates are allowed to be corrupted with bounded noises. A simple distributed algorithm of fixed-step power control is devised and the feedback requires only local information. As a generalization of the power control algorithm proposed by Sung and Wong, we have obtained a more robust solution which can handle time varying link gains and measurement noises. Convergence of the new algorithm is analyzed and numerical studies show that it is effective.

关键词： Power control Time varying systems Distributed algorithms Feedback Noise robustness Robust control Power measurement Gain measurement Noise measurement Time measurement

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Solving polynomial static output feedback problems with PENBMI

Solving polynomial static output feedback problems with PENB...

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IEEE Conference on Decision and control

作者： D. Henrion J. Lofberg M. Kocvara M. Stingl LAAS CNRS Toulouse France Department of Control Engineering Faculty of Electrical Engineering Czech Technical University Prague Czech Republic Automatic Control Laboratory Swiss Federal Institute of Technology Zurich Switzerland Institute of Information Theory and Automation Academy of Sciences슠of the슠Czech Republic Prague Czech Republic Institute of Applied Mathematics University of Erlangen Erlangen Germany

An algebraic formulation is proposed for the static output feedback (SOF) problem: the Hermite stability criterion is applied on the closed-loop characteristic polynomial, resulting in a non-convex bilinear matrix inequality (BMI) optimization problem for SIMO or MISO systems. As a result, the BMI problem is formulated directly in the controller parameters, without additional Lyapunov variables. The publicly available solver PENBMI 2.0 interfaced with YALMIP 3.0 is then applied to solve benchmark examples. Implementation and numerical aspects are widely discussed.

关键词： Polynomials Output feedback Linear matrix inequalities Stability criteria Eigenvalues and eigenfunctions control engineering Lagrangian functions Automatic control Laboratories Information theory

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Stochastic H2/H∞ control with (x,u,v)-dependent Noise

Stochastic H2/H∞ Control with (x,u,v)-dependent Noise

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IEEE Conference on Decision and control

作者： Weihai Zhang Huanshui Zhang Bor-Sen Chen Control Research Center Shenzhen Graduate School Harbin Institute of Technology Shenzhen University Shenzhen China College of Information and Electrical Engineering Shandong University of Science and Technology Qingdao China Department of Electrical Engineering National Tsing Hua University Hsinchu Taiwan

In this paper, finite and infinite horizon stochastic H 2 /H ∞ control problems with all state, control input and external disturbance-dependent noise are studied. It is shown that the existence condition of finite horizon stochastic H 2 /H ∞ control is equivalent to the solvability of four coupled matrix-valued differential equations, and that of infinite horizon stochastic H 2 /H ∞ control is equivalent to the solvability of four coupled matrix-valued algebraic equations.

关键词： Stochastic resonance Infinite horizon Differential algebraic equations Stochastic systems Riccati equations control systems Stochastic processes Differential equations Matrices Sufficient conditions

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Nonlinear stochastic H/sub 2//H/sub /spl infin// control with state-dependent noise

Nonlinear stochastic H/sub 2//H/sub /spl infin// control wit...

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American control Conference (ACC)

作者： Weihai Zhang Jun'e Feng Bor-Sen Chen Zhaolin Cheng Shenzhen Graduate School of Harbin Institute of Technology Information and Control Research Center Shenzhen China College of Information and Electrical Engineering Shandong University of Science and Technology Qingdao China School of Mathematics and System Sciences Shandong University Jinan China Department of Electrical Engineering National Tsing Hua University Hsinchu Taiwan

ISBN: (纸本)0780390989

For a system governed by Ito-type nonlinear stochastic differential equation with state-dependent noise, the H/sub 2//H/sub /spl infin// control problem is considered, which combines the H/sub 2/ optimization with the robust H/sub /spl infin// performance. A cross-coupled Hamilton-Jacobi equations associated with the nonlinear stochastic H/sub 2//H/sub /spl infin// control are obtained, based on which, sufficient conditions for designing the finite and infinite horizon nonlinear stochastic H/sub 2//H/sub /spl infin// controllers are derived. Some results on linear stochastic H/sub 2//H/sub /spl infin// control can be viewed as corollaries of this paper.

关键词： Stochastic resonance control systems Stochastic processes Hydrogen Stochastic systems Nonlinear control systems Differential equations Robust control Nonlinear equations Sufficient conditions

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On spectral assignment and detectability of linear stochastic systems

On spectral assignment and detectability of linear stochasti...

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American control Conference (ACC)

作者： Weihai Zhang Jun'e Feng Bor-Sen Chen Zhaolin Cheng Information and Control Research Center Shenzhen Graduate School of Harbin Institute of Technology Shenzhen University Shenzhen China College of Information and Electrical Engineering Shandong University of Science and Technology Qingdao China School of Mathematics and System Sciences Shandong University Jinan China Department of Electrical Engineering National Tsing Hua University Hsinchu Taiwan

ISBN: (纸本)0780390989

In this paper, we study the spectral assignment and detectability for linear stochastic time-invariant systems. It is shown that for deterministic systems and stochastic systems without a drift term, the spectrum of /spl Lscr//sub K/ cannot be assigned arbitrarily. By means of the spectral set of /spl Lscr//sub K/, the mean square stabilization with a given stabilizing degree is defied and discussed. Finally, stochastic detectability and its relation to exact observability have been investigated.

关键词： Stochastic systems Observability Stochastic processes Stability Riccati equations State feedback control systems Cities and towns Educational institutions Mathematics

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Robust pole assignment via P-D feedback in a class of second-order dynamic systems

Robust pole assignment via P-D feedback in a class of second...

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8th International Conference on control, Automation, Robotics and Vision (ICARCV)

作者： Wang, Guo-Sheng Duan, Guang-Ren Center for Control Theory and Guidance Technology Harbin Institute of Technology Harbin 150001 China Department of Control Engineering Academy of Armored Force Engineering Beijing 100072 China

ISBN: (纸本)0780386531

The design of robust pole assignment via proportional-plus-derivative (P-D) feedback is investigated for a class of second-order dynamic systems. Based on P-D feedback parametric eigenstructure assignment for second-order dynamic systems, parametric expressions of the closed-loop eigenvalue sensitivities to the perturbed elements in the open-loop system matrices are derived and an effective algorithm for robust pole assignment in second-order dynamic systems via P-D feedback is proposed. This method utilizes directly the system data of the original second-order dynamic system, and thus is convenient to use in applications. A three lumped mass-spring dashpot system example shows the effect of this proposed algorithm. © 2004 IEEE.

关键词： Robustness (control systems)

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A novel immune feedback control algorithm and its applications

A novel immune feedback control algorithm and its applicatio...

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6th Annual Genetic and Evolutionary Computation Conference, GECCO 2004

作者： Qi, Zhen-Qiang Song, Shen-Min Yang, Zhao-Hua Hu, Guang-Da Zhang, Fu-En Department of Control Science and Engineering Harbin Institute of Technology Harbin150001 China Department of Automation Measurement and Control Engineering Harbin Institute of Technology Harbin150001 China

ISBN: (纸本)3540223444

This paper first analyzes the feedback principle of nature immune system and then the immune process is imitated by virtue of nonlinear molecular dynamics. Then the mathematic model of immune system is founded. The model implicates two important processes in immune system. One is that antibodies (Ab) and killer T cells (Tkill) rapidly respond to the change of the number of antigens (Ag). Another is that suppressor T cells (Tsup) inhibit and adjust the number of Ab and Tkill. The model manifests the good performance that immune system can respond to foreign materials rapidly and stabilize itself simultaneously. In this paper, foreign disturbances, input errors and measurement noises are regarded as Ag. The process in which creature presents immune response, produces antibodies and removes antigens is regarded as the control process of disturbances eliminating and differences adjusting. So, we designed a novel control algorithm based on immune feedback principle (IFC). The results of simulation show that the IFC algorithm can make the system respond quickly and get to steady state rapidly, and has good noise-proof feature. Its performance is superior to that of ordinary controllers. It also shows that the IFC algorithm suits for controlling the large time-delay system especially. © Springer-Verlag Berlin Heidelberg 2004.

关键词： Antibodies

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ℋ︁∞model reduction for uncertain two-dimensional discrete systems

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Optimal control Applications and Methods 2005年第4期26卷

作者： Huijun Gao James Lam Changhong Wang Shengyuan Xu Space Control and Inertial Technology Research Center P.O. Box 1230 Harbin Institute of Technology Xidazhi Street 92 Harbin 150001 People's Republic of China Department of Mechanical Engineering The University of Hong Kong Pokfulam Road Hong Kong Department of Automation Nanjing University of Science and Technology Nanjing 210094 People's Republic of China

This paper investigates the problem of ℋ︁ ∞ model reduction for two-dimensional (2-D) discrete systems with parameter uncertainties residing in a polytope. For a given robustly stable system, our attention is focused on the construction of a reduced-order model, which also resides in a polytope and approximates the original system well in an ℋ︁ ∞ norm sense. Both Fornasini–Marchesini local state-space (FMLSS) and Roesser models are considered through parameter-dependent approaches, with sufficient conditions obtained for the existence of admissible reduced-order solutions. Since these obtained conditions are not expressed as strict linear matrix inequalities (LMIs), the cone complementary linearization method is exploited to cast them into sequential minimization problems subject to LMI constraints, which can be readily solved using standard numerical software. In addition, the development of zeroth order models is also presented. Two numerical examples are provided to show the effectiveness of the proposed theories. Copyright © 2005 John Wiley & Sons, Ltd.

关键词： ℋ︁∞ norm linear matrix inequality model reduction polytopic uncertainty two-dimensional systems

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