state space representation of discrete time systems pdf

... stability of time- dependent difference equations in Banach spaces,” Journal of the Institute of Mathematics and Its Applications, vol 14, no 3, pp 335–346, 1974 11 S Zhang, “Estimate of total stability ... USA, 1978 J Dibl´k and D Ya Khusainov, Representation of solutions of discrete delayed system x k ı Ax k Bx k −m f k with commutative matrices,” Journal of Mathematical Analysis and Applications, ... the zero solution of 4.1 - 2.3 is absolutely stable Remark 4.2 I want to point out that this approach is just of interest for systems with “slowly changing” matrices The purpose of this section...

Ngày tải lên: 22/06/2014, 06:20

... exponential stabilizability of discrete- time systems with time- delayed states Finally, as an application, we consider the global stabilization of the nonlinear control systems Preliminaries In this ... Optimization, vol 37, no 2, pp 521–542, 1999 10 E K Boukas, State feedback stabilization of nonlinear discrete- time systems with time- varying time delay,” Nonlinear Analysis: Theory, Methods & Applications, ... theorem for discrete- time systems, ” IEEE e Transactions on Automatic Control, vol 41, no 6, pp 903–907, 1996 12 E N Chukwu, Stability and Time- Optimal Control of Hereditary Systems, vol 188 of Mathematics...

Ngày tải lên: 21/06/2014, 20:20

... equivalent LMI representation of BRL for linear continuous -time systems A new LMI representation of BRL First, we propose a new equivalent LMI representation of BRL for linear continuous -time systems ... stability of uncertain systems in polytopic domains 6–9 And by introducing some additional variables, extension to H2 or H∞ performance for discrete- time systems can be found in In the continuous -time ... will be used to state- feedback synthesis control problem State feedback control Lemma 3.3 will be extended to solve the state- feedback control problem for linear continuoustime systems with polytopic-type...

Ngày tải lên: 21/06/2014, 22:20

... discrete- time systems or are mirrors from their counterparts of previously existing continuous -time systems This book attempts to give a scope of the present state- of- the-art in the area of DiscreteTime ... predefined state space; if the state space is not finite in extent, then the state space necessitates some truncation of the state space; and grid-based estimation approaches assume the availability of ... Control of Discrete- time LTI Systems: Scaling LMI Approaches 141 Jun Xu Chapter 10 Discrete Time Mixed LQR/H ∞ Control Problems Xiaojie Xu Chapter 11 Robust Control Design of Uncertain Discrete- Time...

Ngày tải lên: 20/06/2014, 01:20

... developed for linear discrete- time systems with time varying delay in the state In these papers above the time- varying delay of discrete systems is assumed to be unique in state variables On the ... the case of multiple time- varying delays in state, and this will be the subject of this paper This paper address stabilization problem of linear discrete- time systems with multiple time- varying ... class of multi -time- delay discrete systems with norm-bounded uncertainties has been studied in (Shi et al., 2009) To the best of author’s knowledge, stabilization problem of linear discrete systems...

Ngày tải lên: 20/06/2014, 01:20

... in (Li & Bar-Shalom, 1993) The FDD 428 Discrete Time Systems problem in terms of the hybrid system may be stated as that of determining the current model state That is, determining whether the ... there were stable out -of- phase periodic points even if the value of |d1 − d2 | was large; in other words, the 416 Discrete Time Systems difference between the gray levels of the pixels in the ... φ)-plane Of course, we found no D-type of 418 Discrete Time Systems I 24 φ −→ 0.9 G54 NS 27 I 57 I 51 G51 I 27 G24 0.8 I 54 0.7 NS 27 0.6 0.85 0.86 0.87 0.88 0.89 kr −→ Fig 13 Bifurcations of three-phase...

Ngày tải lên: 20/06/2014, 01:20

... The aim of this article was to give necessary and sufficient conditions for existence and uniqueness of solutions for generalized linear discrete- time boundary value problems of a class of linear ... vectors the p linear independent eigenvectors of the finite generalized eigenvalues of sF-G (see [1] for an algorithm of the computation of Qp) Proof Let Q = [QpQq], where Qp ∈ Mmp and Qq ∈ Mmq ... doi:10.1186/1687-1847-2011-51 Cite this article as: Dassios: On a boundary value problem of a class of generalized linear discrete- time systems Advances in Difference Equations 2011 2011:51 Submit your manuscript...

Ngày tải lên: 20/06/2014, 22:20

... radii of linear discrete- time systems and symplectic pencils, Inter J Nonlinear and Robust Control, (1991) 79–97 11 D Hinrichsen and N K Son, Stability radii of positive discrete- time systems ... of interest to consider conditions of robust stability of a polytope of matrices It is well known that, in general, the stability of all vertex matrices is not sufficient for robust stability of ... Vol of Progress in System and Control Theory, Birkh¨user, Basel, 1990, 119-162 a D Hinrichsen and A J Pritchard, On the Robustness of Stable Discrete- Time Linear Systems, In: New Trends in Systems...

Ngày tải lên: 06/08/2014, 05:20

... Hardware/Software Partitioning We develop an efficient scheme for design space exploration in the context of hardware/software co-design of real -time systems Such systems nowadays consist of a heterogeneous ... design space exploration of realtime embedded systems, and discuss the role of system-level performance analysis in design space exploration cycles 3 1.1 Design Space Exploration Because of the ... Figure 1.1: Role of Performance Analysis in Interactive Design Space Exploration 1.1.1 Role of Performance Analysis in Design Space Exploration Design space exploration of a real -time embedded system...

Ngày tải lên: 11/09/2015, 16:04

... for adaptive control of linear continuous -time systems, there are lots of counterpart results for linear discrete- time systems, adaptive control of nonlinear discrete- time systems have been considerately ... 1.1.1 Discrete- time adaptive control Discrete- time systems are of ever increasing importance with the advance of computer technology Even at the very early stage of adaptive control development, discrete- time ... only at discretetime instants, and it is sometimes more convenient to model processes in discrete- time for ease of control design Thus, adaptive control and NN control of nonlinear discrete- time...

Ngày tải lên: 14/09/2015, 08:39

... applied to different kinds of complex continuous -time nonlinear systems However, for discrete- time nonlinear systems, especially for complex discrete- time nonlinear systems, those available schemes ... disturbances in state space description, MIMO discrete- time systems with triangular form input and strict feedback form subsystems in state space description, MIMO NARMAX affine systems and MIMO ... behavior of 1.1 Adaptive Neural Network Control of Nonlinear Systems discrete- time models and continuous -time models In this section, the development in adaptive NN control of discrete- time nonlinear...

Ngày tải lên: 15/09/2015, 21:13

... infinite set of possible signals is converted into a finite set The next step of encoding maps the finite set of discrete time, continuous amplitude signals into a finite set of discrete time, discrete ... Z as its domain A discrete time, continuous amplitude signal has R as its range A discrete time, discrete amplitude signal has Z as its range Here, the focus is on discrete time signals Quantization ... discrete time signals Quantization is the process of approximating any discrete time, continuous amplitude signal into one of a finite set of discrete time, continuous amplitude signals based on a...

Ngày tải lên: 18/10/2013, 04:15

... cited 30 Advances in Discrete Time Systems Advances in Discrete Time Systems is used for time- delay systems In the last decade, sufficient stability conditions for time- delay systems have been given ... following linear discrete- time systems x(k + 1) = Ax(k) + B1w(k) + B2u(k) z(k) = C1 x(k) + D12u(k) under the influence of state feedback of the form (10) Advances in Discrete Time Systems u(k) = ... the discrete- time state feedback stochastic mixed LQR/H ∞ control problem as follows: Discrete- time state feedback stochastic mixed LQR/H ∞ control problem: Given the linear discrete- time systems...

Ngày tải lên: 14/02/2014, 09:20

... summarisation systems and, at the same time, similarity metrics conceived as well to evaluate summarisation systems Therefore, testing the validity of the QARLA proposal implies some kind of meta-meta-evaluation, ... the automatic evaluation of systems consists of computing some similarity metric between the system output and a human model summary Systems are then ranked in order of decreasing similarity ... JACK:Reliability of the peers set Once we detect a difference in quality between two summarisation systems, the question is now 284 i.e the probability over all model summaries m of finding a couple of automatic...

Ngày tải lên: 17/03/2014, 05:20

... class of nonlinear time- delay systems, Computers & Electrical Engineering 30: 61–71 Xu, S., Lu, J., Zhou, S & Yang, C (2004) Design of observers for a class of discrete- time uncertain nonlinear systems ... one of which for discrete- time systems was presented in (Song et al 2009) In this paper, we generalize the results of (Song et al 2009) on mixed continuous -discrete systems The continuous -discrete ... Observers Design for a Class of Lipschitz Discrete- Time Systems with Time- Delay is equivalent to (80), which is equivalent to M4 < where M is defined in (13) This ends the proof of equivalence between...

Ngày tải lên: 20/06/2014, 01:20

... 50 Discrete Time Systems This completes the proof of Theorem Proof of Theorem a., c Equations (18) and (19) immediately follow from ... Smoothers for Discrete- time Linear Stochastic Systems with Unknown Disturbances Akio Tanikawa Osaka Institute of Technology Japan Introduction We consider discrete- time linear stochastic systems with ... algorithms for estimating states of these systems If mathematical models derived by engineers are very accurate representations of real systems, we not have to consider systems with unknown inputs...

Ngày tải lên: 20/06/2014, 01:20

... ellipses The use of covariance ellipses allows us to visualize the variance and the cross covariance of a system with two states 106 14 Discrete Discrete Time Systems Time Systems Consider the ... be represented as a transfer function or using the space -state approach The state- space approach is based on the time- evolution of the "states" of the system, which are considered all the necessary ... upper bound of the robust estimator, the actual error variance of the Kalman filter is Kalman Filtering for Discrete Time Uncertain Systems Kalman Filtering for Discrete Time Uncertain Systems 107...

Ngày tải lên: 20/06/2014, 01:20

... processes Such systems may be found in the area of mechanical systems, power systems, manufacturing systems, communications, aerospace systems, financial engineering and so on Such systems are classified ... the proof of sufficiency, on the process of the evaluation of the performance index, by getting rid of the mixed terms of Stochastic Optimal Tracking with Preview for Linear Discrete Time Markovian ... Heidelberg 130 Discrete Time Systems G Nakura (2010) Stochastic Optimal Tracking with Preview by State Feedback for Linear Discrete- Time Markovian Jump Systems International Journal of Innovative...

Ngày tải lên: 20/06/2014, 01:20

... the discrete time optimal LQR control pro-blem with an 161 Discrete Time Mixed LQR/H∞ Control Problems extension of the discrete time bounded real lemma, the argument of compl-etion of squares of ... equation approach and state space approach to the discrete time state feedback mixed LQR/ H ∞ control problem In Section 4, we intro-duce the definition of non-fragile discrete time state feedback mixed ... will consider two discrete time mixed LQR/ H ∞ control problems One is the discrete time state feedback mixed LQR/ H ∞ control problem, another is the non-fragile discrete time state feedback mixed...

Ngày tải lên: 20/06/2014, 01:20

... present an extension of the discrete time bounded real lemma In terms of the stabilizing solution to a discrete time Riccati equation, we derive the simple approach to discrete time state feedback ... attracted as much attention as that of continuous -time delay systems In addition, most results have focused on state feedback stabilization of discrete- time systems with time- varying delays Only a few ... observer design of discrete- time systems with time- varying delays have appeared in the literature(for example, (9)) The results in (3), (12), (14), (18) considered discrete- time systems with time- invariant...

Ngày tải lên: 20/06/2014, 01:20