Stabilization of uncertain linear distributed delay systems with dissipativity constraints |
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Affiliation: | 1. School of Automation, China University of Geosciences, Wuhan 430074, China;2. Department of Electrical Engineering & Electronics, University of Liverpool, Liverpool L69 3GJ, United Kingdom;1. College of Electrical and Information Engineering, Southwest Minzu University, Chengdu 610041, PR China;2. School of Information Science and Engineering, Chengdu University, Chengdu 610106, PR China;3. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, PR China;4. College of Automation and Electronic Engineering, Qingdao Universtiy of Science and Technology, Qingdao, Shandong 266042, PR China;1. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, Liaoning, 110004, China;2. College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China;3. College of Sciences, Northeastern University, Shenyang, Liaoning, 110004, China |
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Abstract: | This paper examines the problem of stabilizing linear distributed delay systems with nonlinear distributed delay kernels and dissipativity constraints. Specifically, the nonlinear distributed kernel includes functions such as polynomials, trigonometric and exponential functions. By constructing a Liapunov–Krasovskii functional related to the distributed kernels, sufficient conditions for the existence of a state feedback controller which stabilizes the uncertain distributed delay systems with dissipativity constraints are given in terms of linear matrix inequalities (LMIs). In contrast to existing methods, the proposed scenario is less conservative or requiring less number of decision variables based on the application of a new derived integral inequality. Finally, numerical examples are presented to demonstrate the validity and effectiveness of the proposed methodology. |
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Keywords: | Uncertain distributed delay systems Integral inequality Dissipativity systems Robust controllers synthesis |
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