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\n\n[![License](http://img.shields.io/badge/license-MIT-red.svg?style=flat)](https://github.com/konimarti/lti/blob/master/LICENSE)\n[![GoDoc](https://godoc.org/github.com/konimarti/observer?status.svg)](https://godoc.org/github.com/konimarti/lti)\n[![goreportcard](https://goreportcard.com/badge/github.com/konimarti/observer)](https://goreportcard.com/report/github.com/konimarti/lti)\n\n```go get github.com/konimarti/lti```\n\n* State-space representation and estimation of linear, time-invariant systems for control theory in Golang\n\n\t```math\n\t x'(t) = A * x(t) + B * u(t)\n\t```\n\t and\n\t```math\n\t y(t)  = C * x(t) + D * u(t)\n\t```\n* Can be used as an input for a [Kalman filter](http://github.com/konimarti/kalman). \n\n## Usage\n```go\n\t// define time-continuous linear system\n\tsystem, err := lti.NewSystem(\n\t\t...\n\t)\n\n\t// check system properties\n\tfmt.Println(\"Observable=\", system.MustObservable())\n\tfmt.Println(\"Controllable=\", system.MustControllable())\n\n\t// define initial state (x) and control (u) vectors\n\t...\n\n\t// get derivative vector for new state\n\tfmt.Println(system.Derivative(x, u))\n\n\t// get output vector for new state\n\tfmt.Println(system.Response(x, u))\n\n\t// discretize LTI system and propagate state by time step dt\n\tdiscrete, err := system.Discretize(dt)\n\n\tfmt.Println(\"x(k+1)=\", discrete.Predict(x, u))\n}\n```\n\n### Example\n\nSee example [here](example/lti.go).\n\n## More information\n\nFor additional materials on state-space models for control theory, check out the following links:\n* A practical guide to state-space control [here](https://github.com/calcmogul/state-space-guide)\n* State-space model impelmentation for Arduinos [here](https://github.com/tomstewart89/StateSpaceControl)\n\n## Credits\n\nThis software package has been developed for and is in production at [Kalkfabrik Netstal](http://www.kfn.ch/en).\n","funding_links":[],"categories":[],"sub_categories":[],"project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fkonimarti%2Flti","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fkonimarti%2Flti","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fkonimarti%2Flti/lists"}