B. G. Romanchuk. Input-Output Analysis of Feedback Loops with Saturation Nonlinearities. PhD thesis, Magdalene College, University of Cambridge, february 1995. Home/Search Document Details and Download
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Output feedback control with input saturations: LMI.. - Scorletti, Folcher.. (1997) (Correct)
....for a specified closed loop system state space domain. The assumption of non global stability is rather mild: in fact, models of physical systems are only representative for a bounded part of the state space. Furthermore, an unstable plant with input saturations is not globally null controllable [27]. For instance, in the paper [19] it is explained that only semi global stability can be achieved by linear control for some classes of unstable plants. In [20] a class of linear systems (neutrally stable systems) is proved to be globally stabilizable by bounded state and output feedback control ....
B. G. Romanchuk. Input-Output Analysis of Feedback Loops with Saturation Nonlinearities. PhD thesis, Magdalene College, University of Cambridge, february 1995.
Maximum Output Amplitude of Linear Systems for certain.. - Wolfgang Reinelt Dept (Correct)
....the recent textbook [8] or the overview paper [1] and the references therein. A quite general and unified description of the so called Anti Windup schemes is given for instance in [2] Analysis of constraint systems in terms of stability, controllability and feasibility is of interest as well [7, 9, 10, 11]. To solve the constraint control problem in a linear 1 Work supported by the german DFG (1996 1999 WAPprogram: topic Synthese optimaler Regler unter der Berucksichtigung von Beschrankungen und Robustheitsforderungen ) which is gratefully acknowledged. framework, one implicitly has to ....
B. G. Romanchuk. Input Output Analysis of Feedback Loops with Saturation Nonlinearities. PhD thesis, Dept of EE, University of Cambridge, Cambridge, UK, Feb. 1995.
Analytic Comparison of Nonlinear H∞-Norm Bounding.. - Romanchuk (1995) Self-citation (Romanchuk) (Correct)
....open loop unstable plants cannot be stabilised in an incremental gain sense, which appears to limit the incremental gain s usefulness as an analytical tool. The methods used to give bounds for the operator norms were developed elsewhere, although some have only appeared in the dissertation [8]. For continuous time systems, the Small Gain Theorem (Circle Criterion) estimate, the bound given in the paper by Liu, Chitour, Sontag [6] the bounds for the induced norm using dissipation functions as calculated by the method outlined in [7] and the bounds for the incremental gain using linear ....
.... Small Gain Theorem (Circle Criterion) estimate, the bound given in the paper by Liu, Chitour, Sontag [6] the bounds for the induced norm using dissipation functions as calculated by the method outlined in [7] and the bounds for the incremental gain using linear matrix inequalities developed in [8] are compared herein for the general first order plant. The behaviour of the induced norm as the plant pole crosses from the closed left half plane to the open right half plane is pathological if one takes the input set to be L 2 . The introduction of bounded input sets causes the induced norm to ....
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B.G. Romanchuk. Input-Output Analysis of Feedback Loops with Saturation Nonlinearities. Ph. D. Dissertation, University of Cambridge, 1995.
Notes on the Computation of the Incremental Gain of Linear.. - Romanchuk (1995) Self-citation (Romanchuk) (Correct)
....p;1 (N) w 6=0 k Upsilonwk p kwk p : The incremental gain over p (resp. W p;1 (n1 ) is defined: k Upsilonk Delta;p = sup w; w2 p (resp. W p;1 (N) w 6= w k Upsilonw Gamma Upsilon wk p kw Gamma wk p : A development of the properties of such systems can be found in [5]. It is important to note that for any fixed system, there exists some N 0 such that if N N , the induced norm over W p;1 (N ) is finite, a consequence of the discrete time counterpart of the results in [4] Additionally, we have fixed the system to have unity negative feedback so as to ....
....Although linear matrix inequalities have been used to bound the induced norm of such systems, the author is unaware of any references which in fact note that the quadratic potential functions derived are better suited for the incremental gain computation. And as is more fully explored in [5], the incremental gain computation via quadratic dissipation functions does not appear to be conservative, whereas they will give rise to conservative analysis for the induced norm. These results have first appeared in [5] Definition 3.1: The matrix P is the solution to the discrete incremental ....
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B.G. Romanchuk, Input-Output Analysis of Feedback Loops with Saturation Nonlinearities, Ph.D. Dissertation, Univ. of Cambridge, 1995
Control of Systems with Repeated Scalar Nonlinearities - Chu (1998) (Correct)
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B. G. Romanchuk. Input-Output Analysis of Feedback Loops with Saturation Nonlinearities. PhD thesis, University of Cambridge, 1995.
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