{"product_id":"9783319659893","title":"Studies in Systems, Decision and Control","description":"\u003ch1\u003eStudies in Systems, Decision and Control\u003c\/h1\u003e \u003ch2\u003eBenzaouia, Abdellah; Mesquine, Fouad; Benhayoun, Mohamed\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book deals with a combination of two main problems for the first time. They are saturation on control and on the rate (or increment) of the control, and the solution of unsymmetrical saturation on the control by LMIs. It treats linear systems in state space form, in both the continuous- and discrete-time domains. Necessary and sufficient conditions are derived for autonomous linear systems with constrained state increment or rate, such that the system evolves respecting incremental or rate constraints if any. A pole assignment technique is then used to solve the problem, giving stabilizing state feedback controllers that respect non-symmetrical constraints on control alone or on both control and its increment or rate. Illustrative examples show the application of these methods on academic examples or on such real plant models as the double integrator system. This problem is then extended to various others including:\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003esystems with constraints and perturbations;\u003c\/li\u003e\n\u003cli\u003esingular systems with constrained control;\u003c\/li\u003e\n\u003cli\u003esystems with unsymmetrical saturations; \u003c\/li\u003e\n\u003cli\u003esaturated systems with delay, and\u003c\/li\u003e\n\u003cli\u003e2-D systems with saturations.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003c\/p\u003e  \u003cp\u003eThe solutions obtained are of two types:\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003enecessary and sufficient conditions solved with linear programming techniques; and\u003c\/li\u003e\n\u003cli\u003esufficient conditions under LMIs.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003c\/p\u003e  \u003cp\u003eA new approach extends existing techniques for dealing with symmetrical saturations to take direct account of unsymmetrical saturations into account with LMIs. This tool enables the authors to obtain new results on continuous- and discrete-time systems. The book uses illustrative examples and figures and provides many comparisons with existing results.\u003c\/p\u003e  Systems theoreticians interested in multidimensional systems and practitioners working with saturated and constrained controllers will find the research and background presented in \u003ci\u003eSaturated Control of Linear Systems\u003c\/i\u003e to be ofconsiderable interest in helping them overcome problems with their plant and in stimulating further research. \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2017-10-02\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319659893\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-65990-9\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 226\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":47675343503500,"sku":"9783319659893","price":98.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319659893.jpg?v=1776541662","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319659893","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}