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Output feedback of Markov jump linear systems with no mode observation: An automotive throttle application
Authors:Alessandro N Vargas  Leonardo Acho  Gisela Pujol  Eduardo F Costa  João Y Ishihara  João B R do Val
Affiliation:1. Universidade Tecnológica Federal do Paraná (UTFPR), Cornelio Procópio, Paraná, Brazil;2. Basque Center for Applied Mathematics (BCAM), Bilbao, Vizcaya, Spain;3. CoDAlab, Departament de Matemàtica Aplicada III, Escola Universitària d'Enginyeria Tècnica Industrial de Barcelona, Universitat Politècnica de Catalunya, Barcelona, Spain;4. Departamento Matemática Aplicada e Estatística, Universidade de S?o Paulo (USP), S?o Carlos, S?o Paulo, Brazil;5. FT, Universidade de Brasília, UnB, Brasília, Federal District, Brazil;6. FEEC‐DT, Universidade Estadual de Campinas (UNICAMP), Campinas, S?o Paulo, Brazil
Abstract:The note presents an output feedback control strategy for Markov jump linear systems with no mode observation. Based on minimizing a finite‐time quadratic cost, we derive an algorithm that generates output feedback gains that satisfy a necessary optimality condition. These gains can be computed off‐line relying only on the initial condition of the system. This result expands a previous one from the literature that considered state‐feedback only. To illustrate the usefulness of the approach, real‐time laboratory experiments were performed to control an automotive electronic throttle valve subject to Markov‐driven voltage fluctuations. Copyright © 2015 John Wiley & Sons, Ltd.
Keywords:Markov jump linear systems  stochastic systems  automotive throttle device
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